THIRTY-FIVE CENTS /Allied electronics data handbook FORMULAS AND DATA MOST COMMONLY USED IN ELECTRONICS ALLIED RADIO CORPORATION 100 N. WESTERN AVE., CHICAGO 80, ILL. Allied's Electronics Data Handbook A Compilation of Formulas and Data Most Com monly Used in the Field of Radio and Electronics Written and Compiled by the Publications Division ALLIED RADIO CORPORATION Under the Direction of EUGENE CARRINGTON Edited by NELSON M. COOKE, Lieutenant Commander, United States Navy (Ret.) Senior Member, Institute of Radio Engineers. Author, "Basic Mathematics for Electronics. THIRD EDITION 2nd Printing, May, 1962 Published by ALLIED RADIO CORPORATION 100 North Western Avenue Chicago 80, 111., U. S. A. Printed in U.S.A. Copyright 1962 by Allied Radio Corp. FOREWORD Allied Radio Corporation has long recognized the need for a compre hensive and condensed handbook of formulas and data most com monly used in the field of radio and electronics. It was felt also that such a book should serve entirely as a convenient source of informa tion and reference and that all attempts to teach or explain the basic principles involved should be left to classroom instruction and to the many already existing publications written for this distinct purpose. The Electronics Data Handbook, therefore, consists of formulas, tables, charts and data. Every effort has been made to present this information clearly and to arrange it in a convenient manner for instant reference. All material was carefully selected and prepared by Allied's technical staff to serve the requirements of many specific groups in the radio and electronics field. It is hoped that our objec tives have been successfully attained and that this Handbook will serve as: (1) A valuable adjunct to classroom study and laboratory work for the student and instructor; (2) A dependable source of information for the beginner, experimenter and set builder; (3) A reliable guide for the service engineer and maintenance man in his everyday work; (4) A time-saving and practical reference for the radio amateur, technician and engineer, both in the laboratory and in the field of operations. The publishers are indebted to the McGraw-Hill Book Company, Inc., for their permission to use material selected from "Basic Mathe matics for Electronics" by Nelson M. Cooke. Allied also takes this opportunity to thank those manufacturers who so generously per mitted our use of current data prepared by their engineering per sonnel. Special recognition and our sincere appreciation are extended to Commander Cooke for his helpful suggestions and generous con tribution of his time and specialized knowledge in editing the material contained in this book. ALLIED RADIO CORPORATION TABLE OF CONTENTS Fundamental Mathematical Data 4-5 Mathematical Constants 4 Mathematical Symbols 4 Decimal Parts of an Inch 4 Fundamental Algebraic Formulas 5 Decibel Tables, Attenuators and Matching Pads Decibels, Fundamental Formulas DB Expressed in Watts and Volts Decibel-Voltage, Current and Power Ratio Table 5-10 5 5 6 Table of Values for Attenuator Network Formulas Attenuator Network Formulas 7 8-9 Minimum Loss Pads 10 Most Used Radio and Electronic Formulas 11-29 70-Volt Loud-Speaker Matching Formulas 11 Resistance 12 Capacitance 12 Inductance Reactance Resonance 12-13 13 13 Frequency and Wavelength "Q" Factor Impedance 13 14 14-16 Conductance 17 Susceptance 17 Admittance Transient I and E in LCR Circuits 17 18-19 Steady State Current Flow 19 Transmission Line Formulas 20 Capacity of a Vertical Antenna Trigonometric Relationships 20 21 Vacuum Tube Formulas and Symbols 22 R.M.S., Peak and Average Volts and Current 22 Transistors—Basic Formulas, Symbols and Circuits . . . . 23-25 D-C Meter Formulas Ohm's Law for A-C and D-C Circuits Engineering and Servicing Data R-F Coil Winding Formulas Wire Table 26-27 28-29 30-69 30 31 R-F Coil Winding Data Chart Inductance, Capacitance, Reactance Charts Metric Relationships How to Use Logarithms Directly Interchangeable Tubes Directly Interchangeable TV Picture Tubes 32-33 33-36 37 38-40 41-51 52-55 Abbreviations and Letter Symbols 55,67 Pilot Lamp Data Interchangeable Batteries 56-57 58-59 EIA and Military Color Codes for Resistors and Capacitors 60-63 EIA Color Codes for Chassis Wiring Schematic Symbols Used in Radio Diagrams 64-66 68-69 Log and Trig Tables Four-Place Common Log Tables Table of Natural Sines, Cosines and Tangents Allied Publications Index 70-77 70-71 72-77 78-79 80 A L L I E D ' S ELECTRONICS DATA Mathematical Symbols Decimal Inches X or • Multiplied by -T- or : Divided by Inches X + Inches X 2.540 Positive. Plus. Add 103 Inches 1/64 I 3/64 1 1/32 | 1/16 5/64 | 1/8 5/32 3/16 13/64 Is much less than 15/64 ^ ^ Greater than or equal to Less than or equal to I I 7/32 1 1/4 17/64 1 19/64 I 5/16 11/32 A Increment or Decrement -JII Inl Perpendicular to Parallel to Absolute value of n I 3/8 25/64 13/32 27/64 1 7/16 29/64 I 1/2 VV-1.77 33/64 I 35/64 I | 17/32 9/16 37/64 I 39/64 I 19/32 2tt = 6.28 |=1.25 (2tt)2 - 39.5 5/8 41/64 21/32 4tt = 12.6 V2= 1.41 r- = 9.87 Vs = 1.73 43/64 1 11/16 45/64 1 47/64 1 | 23/32 3/4 \ =w - - 0.318 •K = 0.101 49/64 1 51/64 I V2 1 log 7T = 0.497 log ^=0.196 53/64 55/64 log 7T2 = 0.994 log vV = 0.248 I | 27/32 I 7/8 57/64 | | 59/64 | 61/64 —7= = 0.564 [ 25/32 13/16 - 0.577 V3 —- = 0.15'.) 2tt — - = = 0.707 63/64 0.397 I 0.794 .0469 I 1.191 .0625 I 1.588 | 2.778 1.985 2.381 .1250 | 3.175 .1406 .1563 3.572 3.969 1 [ | 15/16 31/32 1.0 | 4.366 4.762 .2031 1 5.159 .2188 1 5.556 .2344 I 5.953 .2500 | 6.350 1 6.747 .2813 1 7.144 .2969 1 7.541 .3125 | 7.937 1 8.334 .3438 1 8.731 .3594 I 9.128 .3750 | 9.525 9.922 .3906 | .4063 | 10.319 .4219 | 10.716 .4375 1 11.112 .4531 1 11.509 .4844 1 12.303 .5000 | 12.700 I 11.906 .5156 I .5313 | 13.494 .5469 I .5625 | 14.287 13.097 13.891 .5781 | 14.684 .5938 .6094 | ; 15.081 15.478 .6250 .6406 | | 15.875 16.272 .6563 I 16.669 .6719 I .6875 | 17.463 17.067 .7031 1 .7188 I 18.238 .7344 I .7500 | 19.049 17.860 18.635 .7656 l 19.446 .7813 .7969 .8125 .8281 [ | I | 19.842 20.239 20.636 21.033 .8438 I 21.430 .8594 | 21.827 .8750 1 22.224 .8906 29/32 | .1875 .4688 15/32 31/64 | Mathematical Constants 1 .0313 .3281 21/64 23/64 .0156 .2656 9/32 Therefore Angle Millimeter Equivalent .1719 11/64 Is less than Decimal Equivalent .1094 9/64 < = Mils .0781 .0938 3/32 7/64 « 7T = 3.14 = Centimeters Inches X 1.578 X 10 5 = Miles — Negative. Minus. Subtract + Positive or negative. Plus or minus + Negative or positive. Minus or plus = or :: Equals == Identity = Is approximately equal to 5^ Does not equal > Is greater than » Is much greater than Z HANDBOOK 1 22.621 .9063 I 23.018 .9219 .9375 | 23.415 1 23.812 .9531 I .9688 I 24.606 -9844 I 25.004 I 1.0000 24.209 1 25.400 ALLIED'S ELECTRONICS Algebra Decibels The number of db by which two power Exponents and Radicals a- - «(*-">. ax Xav = a(x+ "). a" ay _ a* (aft)1 = 0*6* . outputs Pi and P2 (in watts) may differ, is expressed by p 10 log-pi; or in terms of volts, b) " &*' I- - ^a V b ~ #b' HANDBOOK DATA 20 log || ; -•* or in current, 20log y (a1)" = axy. It y/ab = \/a vo . a? = ^ ; 1 a* = J/Ti. a" = While power ratios are independent of source and load impedance values, voltage and current ratios in these formulas hold true only when the source and load im pedances Zi and Zi are equal. In circuits where these impedances differ, voltage and 1. current ratios are expressed by, Solution of a Quadratic Quadratic equations in the form db = 20 log ax7 + bx + c = 0 EiVzt EffZi or, 201og^f itvz2 may be solved by the following: - b±Vb' - 4ac x DB Expressed in Watts & Volts = 2a Above Z ero Level Below Zero Level DB* Watts Transposition of Terms If A=- . then B- AC, C=| 0 0.0010 1 0.0013 0.0016 0.0020 0.0025 2 3 4 5 8 9 13 0.0100 0.0126 0.0159 0.0200 14 0.0251 15 0.0316 16 17 0.0398 0.0501 0.0631 0.0794 10 11 12 If A = —7= . then A2 = 18 , 0.0032 0.0040 0.0050 0.0063 0.0079 19 0.1 1.0 1 £ =tJt^. C7 =^A^. D= aV.bc D2yl2£ DM'C 40 50 60 70 80 90 100 If A = VF+F, then A2 = B2 + C2, B = Va2 - C2, C = VA1 - B2. 10.0 10* 10s 10* 10» 10" 10' Volts 0.775 0.869 0.975 Watts Volts 1.00x10-' 0.7746 7.94x10"* 1.094 6.31 x10"* 5.01 x 10"* 1.227 3.98x10"* 0.6904 0.6153 " 0.5483 0.4888 1.377 3.16 x 10"* 2.51 x 10"* 2.00x10"* 1.59x10"* 1.26x10"* 0.4356 0.3883 0.3460 0.3084 0.2748 1.545 1.734 1.946 2.183 2.449 2.748 3.084 1.00 x 10"* 7.94 x 10"' 6.31 x 10"' 3.460 3.882 5.01 x 10"* 3.98x10"' 4.356 4.888 3.16 x10-5 5.483 6.153 6.904 7.746 24.493 77.460 2.51 x 10"' 2.00 x 10"' 1.59x10"' 1.26x10"' 10-' 10-6 0.2449 0.2183 0.1946 0.1734 0.1545 0.1377 0.1228 0.1095 0.0975 0.0869 7.75x10"= 2.45x10"= 244.93 10-" 7.75x10 • 2.45 x t0"' 774.60 10"» 7.75x10 * 2,449.0 10-'° 7,746.0 10-" 10 l: 10-" 2.45x10"* 7.75x10-' 2.45 x 10 ' 7.75 x 10 » 24,493.0 77,460.0 10"' 1 milliwatt into a 600 ohm load, *Zero db Power rati os hold for any impedance, but voltbe referred to an impedance load of ages must 600 ohms. ALLIEP'S ELECTRONICS DATA HANDB O O K Decibel—Voltage, Current and Power Ratio Table + — Voltage or Power Current Ratio DB Voltage Voltage or Power or Power Current Ratio Current Ratio Ratio Ratio 1.000(1 + — DB Voltage or Current Ratio Power Ratio Ratio .i .2 1.000 1.012 1.023 1.000 1.023 .4898 .4842 1.047 .4786 .3 1.035 .4732 .4677 .2239 .4624 .4571 .4519 .4467 .4416 .2138 .4365 .1905 .1862 .9550 1.0000 .9772 .9550 .9333 .9120 .4 1.047 1.072 1.096 .9441 .8913 .5 1.059 1.122 .9333 .8710 .8511 .6 .7 .8 .9 1.072 1.084 1.096 1.109 1.148 1.122 1.135 1.259 1.288 1.148 1.318 .4315 .4266 .8610 .7586 .7413 1.0 1.1 1.2 1.3 1.161 1.349 .4217 .1820 .1778 7.5 2.317 2.344 2.371 .8511 .7244 1.4 1.175 1.380 .4169 .1738 7.6 2.399 5.754 1.413 1.445 1.479 .4121 .1698 5.888 1.514 .3981 .1660 .1622 .1585 1.549 .3936 .1549 7.7 7.8 7.9 8.0 8.1 2.427 .4074 1.9 1.189 1.202 1.216 1.230 1.245 2.0 1.259 1.585 .3890 .1514 8.2 2.1 1.274 1.622 .3846 1.288 1.660 .3802 .1479 .1445 8.3 2.2 2.3 1.303 1.318 1.698 .3758 .1413 8.5 1.738 .3715 .1380 8.6 2.5 2.6 2.7 2.8 2.9 1.334 1.349 1.365 1.778 1.820 1.862 1.380 1.905 1.396 1.950 1.413 1.995 1.429 1.445 1.462 1.479 2.042 1.496 1.514 1.531 1.549 1.567 .9886 .9772 .9661 .9226 .9120 .9016 .8318 .8128 .8913 .7943 .8810 .8710 .7762 0 .8414 .7079 1.5 .8318 .8222 .8128 .8035 .6918 .6761 .6607 .6457 1.6 .7943 .7586 .6310 .6166 .6026 .5888 .5754 .7499 .7413 .5623 .5495 .7328 .5370 .7244 .5248 .7161 .5129 .7079 .6998 .6918 .6839 .5012 .4898 .4786 .4677 .4571 3.0 3.1 3.2 .4467 .4365 .4266 3.5 3.6 .7852 .7762 .7674 .6761 .6683 .6607 .6531 .6457 .6383 .4169 .4074 1.7 1.8 2.4 3.3 3.4 .1950 4.266 4.365 2.113 2.138 4.467 4.571 6.7 6.8 6.9 7.0 7.1 2.163 4.677 4.786 4.898 5.012 7.2 7.3 7.4 2.291 8.4 .3673 .3631 .1349 8.7 .1318 8.8 .3589 .3548 .3508 .1288 .1259 .1230 8.9 9.0 9.1 2.188 .3467 .3428 .3388 .3350 .3311 .1202 .1175 .1148 .1122 .1096 2.239 .3273 2.291 .3236 .3199 2.089 2.138 2.188 2.213 2.239 2.265 5.129 5.248 5.370 5.495 5.623 2.455 6.026 2.483 2.512 2.541 6.166 2.570 2.600 2.630 2.661 2.692 6.607 6.761 6.918 2.723 2.754 7.413 2.786 7.762 6.310 6.457 7.079 7.244 7.586 2.818 7.943 2.851 8.128 9.2 9.3 9.4 2.884 8.318 9.5 2.917 8.511 2.951 8.710 8.913 9.6 2.985 3.020 9.7 3.055 9.333 9.8 3.090 9.550 9.9 10.0 10.5 3.126 9.772 10.000 11.22 9.120 2.512 4.4 1.585 1.603 1.622 1.641 1.660 .2818 .2661 .2512 .2371 .2239 .07943 .07079 .06310 .05623 .05012 11.0 11.5 12.0 12.5 13.0 3.548 3.758 3.981 4.217 4.467 15.85 17.78 19.95 4.5 4.6 4.7 1.679 1.698 2.818 2.884 2.951 3.020 .2113 .1995 .1884 .04467 .03981 .03548 13.5 14.0 14.5 4.732 22.39 5.012 25.12 1.718 .1778 .03162 15.0 5.309 5.623 28.18 31.62 3.9 4.1 4.2 .6095 .6026 .3715 4.3 .3631 .5957 .3548 .3467 .3388 .3311 4.8 .5821 .1995 2.089 .2985 3.8 .3890 .3802 .5888 .4027 .2089 .2042 4.169 2.065 2.455 3.7 4.0 .6166 1.202 1.230 .2188 2.042 6.2 6.3 6.4 6.5 6.6 .1072 .1047 .1023 .1000 .08913 .3981 .6310 .6237 1.175 .2399 .2344 .2291 2.344 2.399 2.570 2.630 2.692 2.754 .3162 3.162 3.350 12.59 14.13 .5754 .5689 .3236 4.9 1.738 1.758 3.090 .1585 .02512 16.0 6.310 39.81 .5623 .3162 5.0 1.778 3.162 .1413 50.12 .3090 .3020 5.1 1.799 3.236 5.2 5.3 5.4 1.820 1.841 .1259 .1122 1.862 17.0 18.0 19.0 20.0 30.0 7.079 .5559 .01995 .01585 .01259 5.5 5.6 5.7 5.8 5.9 6.0 .5495 .5433 .5370 .5309 .5248 .5188 .5129 .5070 .5012 .4955 .2951 .2884 .2818 .2754 .2692 .2630 .2570 .2512 .2455 6.1 3.311 3.388 3.467 .1000 .01000 .03162 .00100 1.884 1.905 1.928 1.950 1.972 3.548 .01 .00010 .00001 1.995 2.018 .0003162 10-7 40.0 50.0 60.0 70.0 3.890 .0001 10-' 80.0 3.931 .00003162 10-* 10-' 10-'° 90.0 3.631 3.715 3.802 4.074 .003162 .001 10-* 100.0 7.943 63.10 8.913 10.000 31.620 79.43 100.00 100.00 316.20 1,000.00 10,000.00 1,000.00 105 104 3,162.00 107 10,000.00 31,620.00 10' 108 10* 10'° ELECTRONICS ALLIED HANDBOOK DATA Table of Values for Attenuator Network Formulas > —to *r — i o to ( *t oo o LPCT)«-OCNJOOOOOU5coococoOLnoorni __CNjn5m I ID 00 CO ~ - r-. « . 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CO CO CO CO CO CO < cna>menoicnoimoioioicTioioioicTioicriOTcnoioiaiaioioioioioioioioioiaioicn io^oi-«oioimo)OiooMiMooin( >oo co -- —<PJr-co»fooO--f>jU3r~oO( CO CO ID *J- O • • ro t r co ro co on ineotcNOOcvj —mid —f^coingroio —f~i"i JOlOOflCOOK — CMOO . m r*~ no —I r-» CO U]QO>-<mr.mc*JOujuj(v)-^ —• CDOOJ —0OU> — i looncooo ago ' oo t o — Z 3* incMOCO^rrotocNjco—*ooi r^ ro co » •cococmcm — — — oooooooooogOO" —•—e gopSoogr ioooooooooooooooooooodopoooo lOOOOOl >inoeooiAOOOou)oou)ooeoooooeoeeooeooeoeooooo OIAOOO -Q T3 iNwWu»Wr^oo«©NNWirtr^oo'e»HCHWi/»u?r»'©*ri ? w w m w «*» wrw w *»• n n •«•••» t *r m irt m m m i/> m to to to to id r- r- r- •> r» oo oo oo o>© * © . i n t o ro "»• t o < jincocMOtococor^ . o i o o c o m o o i i i i n c o u > o c o — oo _ .-. cm cm t o cm . > co t o ^r oo to I iv-HO-nor mcMco*yoiocMCoio*r< • r o m c o t o to* . n v c o t o oo t o ( i~-ocooom««rrocMCMCM~^-^^H«-«.-« t o csi o 28 oo r-J * r .r^-MOUDCO'CLDi . —lOO rr— m cm v cm v t o —«< S O to co o oo to V I roocworotO-— r~ t o ^ r c M . - « o o i o r o o < o — — — . . . . . c M C M C M rorov^rvmininiotoioior OOOOOOOOOOOOO' > oo t r cm oo o i i-roeofr ) oo to CM Q • •• • ~ >-^comiooocoo . CO OO CO CO OO CO CD —«to r - CO i n t o co i CO OO OO O I vcn>t«»ri cm cm i n t S^Hr^tocotocvitocotncoioii^cvjoo^'irscrjrov-^rr^.co^.co — co m«jAvN r-~oo-—ootOincootococM —* o r>. co o o to tt «*r c>4id MClrjVNOOOioiom- — meooi«qr-«rgq«r-.>oir; «to ro f* ^ covroi o co oo in ro cm cm cm —- ~ 10)0111 i —. v i — oo cm o co i n r - I co to oo • >— r— t o — r— co cm to co ro . oo to v oo to i — co co oo t o uo uo 1-000030 —« — I CM. .-unin-ooi . — m t O T t ' • tO - - CM O CO CO I • tOto.-*oioorotooororooo—*r^~*oooo—*v--«iOr*.ip — oo. . oo rooo —<i CD — CMCOTfl ^-r^rsirov^to^oob6cr>c3inoinmro<^o"rocr»^r^o is: " oooooooooooSJSNNmmwww^ 01 i j £s ° o ~ o t n ) CO OO Csj tO O CM «—• OO tO • o i n ro (7» u) Tf o i unincnooojrococnro-H -encoo —^( icoioinr^oo.^r-»inococo •rrococnrocntDfOr-toi lOO — —«CO .^,-rcNjcncocNjcD^-^^rcncDCNj.—• t Co o cm ' oo ^r co —«.—^rNfocnr^oO'-foincNiocnai'ffrotDCS - • —)r-»tf)^C0(N>-*OC0i— r-.<j3ir>uo :s , coe*j—*-—ocn^rcn^r< co co co p* r-- r > e n en o> e n e n e n HNNM^UItf^NOOftOlflOWOWOUJOOOIflOOOOOIflOOCjOOIflOOOOOinOOO •o A L L I E D • S ELECTRONICS DATA HANDBOOK Attenuator Networks For Insertion Between Equal Impedances For data covering networks between unequal impedances, see Minimum Loss Pads on page 10. See also Decibel—Voltage Current and Power Ratio Table on page 6. See table on page 7 for values of A, B, C, D, E used in the following attenuator net work formulas. In the case of L and U networkswhere only the input oroutput can be matched,as required, the matched side is indicatedby an arrow pointingtoward the pad. On all other networks, both the input and output circuits are matched. O VWr O—AAMr R| O—— O—AAMr P ~ZB Ri = ZB /tj = zc u •wv Ri = ZC o -w/v—o "i Ri r2: Ri •a/wv—o R -A R ~Z Rl~2C R -Z Ri~B o———i 1 2 u irVW—i i R2 B -WW- R2 |R| R|; —0 Ri = ~?r 2 Rl R2 O— —O •ww- R - Z Rl~ D R - Z R - Z R -± Ri~2E ELECTRONICS ALLIED'S O O V\Mr -WW R| Ri HANDBOOK DATA WA o 1 O 2 < :R2 2 2 : :«2 2 2 O Ri O O W/V—ii Rt = ZD R2 = ZE T 1 *VW R2-^- Balanced U , O—— 1 AW— — o Ri R| 2 z 2 r2: 2 R2| 2 2 |*2 2 O O 2 Ri 1 O—— ^yw— —0 Bi- B.-4 Bridged T R2 = ZC R 2C - — Balanced U Constant Impedance Attenuators in Parallel Table of f?i Values in Ohms Numbi r of Channel! z 2 3 4 5 6 30 10 15 18 20 21.5 50 16.6 25 30 33.3 35.7 150 50 75 90 100 107 200 66.6 100 120 133 143 250 83.3 125 150 166 179 500 166 250 300 333 357 600 200 300 360 400 428 Network db Loss 6 9.5 12 14 15.5 Rt = Z Insertion loss Vtf-t-i in db = 20 logio N Where Zl= identical line and load impedances; and N = number of channels in parallel. ALLIED'S ELECTRONICS DATA HANDBOOK Minimum Loss Pads O WA- O VWV2 fR2 *2 :r2 Z, *2 2 O- -O -VWSr Balanced Unbalanced matched, use a resistor RL in series with ForMatching Two Impedances where Z\ > Z> the smaller impedance such that Rx = VZ, (Zi - Z2) i?2 = -o Rl = Z\ — Z% Zi Zj Ri db loss = 20 logio -v/- z2 db loss =20 logl0 (>Ji +^ - l) If the smaller impedance only is to be matched, use a resistor Rs in shunt across the larger impedance such that n Z\ Zi Rs = zT=-zl Where Only One Impedance is to be Matched If the larger impedance only is to be Here also db loss = 20 logio \j-^\ Z2 Tables of Ri and R2 Values When Zi is 600 ohms and Zt is less than 600 ohms Zt 500 400 300 250 200 150 100 75 50 40 30 25 R> 245 346 424 458 490 520 548 561 575 580 585 587 R« 1,225 694 425 328 245 173 110 80.2 52.2 41.4 30.8 25.6 db Loss 3.8 5.7 7.6 8.7 10.0 11.4 13.4 14.8 16.6 17.6 18.9 19.7 When Zt is lessthan25ohms, let Ri = 600 - Zr and Ri = Z2 Where Z, is 600ohms, and Zi is greater than 600 ohms. z, 800 1,000 1,200 1,500 2,000 2,500 3,000 3,500 4,000 5,000 6,000 8,000 10,000 Ri 400 632 849 1,162 1,673 2,180 2,683 3,186 3,688 4,690 5,692 7,694 9,695 R. 1,200 949 849 775 717 688 671 659 651 638 633 624 619 db Loss 4.8 6.5 7.6 9.0 10.5 11.6 12.5 13.3 13.9 15.0 15.8 17.1 18.1 WhenZ, is greaterthan 10,000ohms, let Rx = Zi - 300 and R* = 600 10 A L L I E D ' S DATA ELECTRONICS HANDBOOK 70-Volt Loud-Speaker Matching Systems Since the voltage at rated amplifier power is 70.7, this reduces to: The EIA 70.7 volt constant voltage system of power distribution provides the engineerand technician with a simplemeans of matching a number of loudspeakers to an amplifier. To use this method: Z = From 1 2 5 10 1. Determine the power required at each loudspeaker. 2. Add the powers required for the indi vidual speakers and select an ampli fier with a rated power output equal to or greater than this total. 5000 (2) formula (2) these relationships are: watt requires 5000 ohm primary watts requires 2500 ohm, primary watts requires 1000 ohm primary watts requires 500 ohm primary Once the primary taps have been deter mined, continue on through step 4 and 5 as outlined above. When selecting trans former primary taps, use the next highest available value above the computed value. A mismatch of 25% is generally considered permissible. 3. Select 70.7-volt transformers having primary wattage taps as determined in step 1.* 4. Wire the selected primaries in parallel across the 70.7-volt line. Example: Required 5. Connect each secondary to its speaker; selecting the tap which matches the voice coil impedance. One 6 watt speaker with 4 ohm voice coil. Two 10 watt speakers with 8 ohm voice coils (use one transformer at this location). For transformers rated in impedance, the following formulas may be used to deter (1-2) Total power = 0 + 10 + 10 = 26 watts (use a 30-watt amplifier or other amplifier capable of handling mine the proper taps in step 3. Primary Impedance 70.72 (Amplifier output voltage)2 at least 26 watts) Desired speaker power *-? (3) Z6wa«a = ^P = 833 ohms (use (1) 1000 ohm transformer) 5000 Z *These transformers have the primary taps marked in watts and the secondaries marked in 20 = 250 ohms (4-5) See sketch below. ohms. ^4 OHMS I, 250 OHMSo 70.7 VOLTS ^L^ 2.0 30 TWO 10 WATT 8 OHM SPEAKERS WATT AMPLIFIER 3=1 W.'/cZ-re+j* £00*V IOOO OHMS a £ 11 6 WATT 4 OHM SPEAKER 3 ALLIED'S ELECTRONICS DATA HANDBOOK Most Used Formulas DIELECTRIC CONSTANTS Resistance Formulas In series Kind of Rt — R\ + Rt + R%... etc. In parallel Rt = 1 J_ + _L + J_...etc. Ri Two resistors R_ in parallel Rt Ri R1R1 ' ~ Rt + R2 Capacitance In parallel In series Ct = Cx + Ct + Cs. . . etc. Ct = 1 J_ + J_ + i_...etc. Ci G2 Two capacitors ,-. _ in series K Value 1.0 Bakelite Beeswax 5.0 3.0 Cambric (varnished) Fibre (Red) 4.0 5.0 Glass (window or flint) Gutta Percha 8.0 4.0 Mica 6.0 Paraffin (solid) Paraffin Coated Paper 2.5 3.5 Porcelain 6.0 Pyrex 4.5 Quartz 5.0 Rubber Slate 3.0 7.0 Wood (very dry) 5.0 * These values are approximate, since true 01 values depend upon quality or grade of material used, as well as moisture content, temperature and frequency characteristics of each. Cid d Approximate* Dielectric Air (at atmospheric pressure) + Cs Self-Inductance The Quantity of Electricity Stored Within a Capacitor is Given by In series U = Li 4- L2 + L3... etc. In parallel Lt = Q = CE where Q = the quantity stored, in coulombs, E = the potential impressed across the condenser, in 1 + 1+ L...etc. /. i volts, C = capacitance in farads. Lt Two inductors j _ Li Lt in parallel ' L\ Lx + Lt Coupled Inductance The Capacitance of a Parallel Plate Capacitor is Given by C = 0.0885 1 In series with fields aiding KS (N-l) Lt = L, + L2 + 2M In series with fields opposing where C = capacitance in mmfd., Lt = Lx + Lt - 2M K = dielectric constant, In parallel with fields aiding *S = area of one plate in square centimeters, 1 N = number of plates, Lx + M *d = thickness of the dielectric in centimeters (same as the + L, +' M In parallel with fields opposing distance between plates). 1 u * When S and d are given in inches, change constant 0.0885 to 0.224. in micromicrofarads. 1 U = 1 Answer will still be Lx- M 12 + Lt-2 M ALLIED 'S ELECTRONICS where where Lt = the total inductance, M = the mutual inductance, Lx and Lt = the self inductance of the individual coils. DATA HANDBOOK fr = resonant frequency in cycles per second, L = inductance in henrys, C = capacitance in farads, 2;r = 6.28 4tt* = 39.5 Mutual Inductance The mutual inductance of two r-f coils with Reactance fields interacting, is given by -- M = of an inductance is expressed by LA — Lo XL = 2irfL 4 where of a capacitance is expressed by M = mutual inductance, expressed in same units as La and Lo, Xc=2~kc La = Total inductance of coils L\ and Lt with fields aiding, where Xl = inductive reactance in ohms, (known as positive reactance), Lo = Total inductance of coils Lx and Lt with fields opposing. Xc = capacitive rectance in ohms, (known as negative reac Coupling Coefficient tance;, When two r-f coils are inductively coupled so as to give transformer action, the coup ling coefficient is expressed by / = frequency in cycles per sec ond, L = inductance in henrys, C = capacitance in farads, M K = ^LxL2 2tt = 6.28 where K = the coupling coefficient; (K X 102 = coupling coeffi cient in %), Frequency from Wavelength M = the mutual inductance value, / = Lxand L2 = the self-inductance of the two coils respectively, both being 3 X 106 „ ., (kilocycles) where X = wavelength in meters. expressed in the same units. 3 X 104 / = (megacycles) Resonance where X = wavelength in centimeters. The resonant frequency, or frequency at which inductive reactance Xl equals capacitive reactance Xc, is expressed by Wavelength from Frequency fr = 2-irVLC also L = 1 4tt2 f2 C 3 X 104 (centimeters) / where / = frequency in megacycles. X - 1 and C = 3 X 10* (meters) / where / = frequency in kilocycles. X = 4tt2 f2 L 13 ALLIED'S ELECTRONICS DATA HANDBOOK In series circuits where phase angle and Q or Figure of Merit any two of the Z, R and X components are known, the unknown component may be determined from the expressions: of a simple reactor Z = Rl R Z = cos 0 of a single capacitor R = Z cos d sin 6 X = Zsin 0 where Z = magnitude of impedance in ohms, Kc where R = resistance in ohms, X = reactance (inductive or capaci Q = a ratio expressing the figure of merit, tive) in ohms. Nomenclature Xl = inductive reactance in ohms, Z = absolute or numerical value of Xc — capacitive reactance in ohms, impedance magnitude in ohms R = resistance in ohms, Rl = resistance in ohms acting in series with inductance, Xl = inductive reactance in ohms, Xc = capacitive reactance in ohms, Re = resistance in ohms acting in series with capacitance, L = inductance in henrys, C —capacitance in farads, Impedance Rl = resistance in ohms acting in series with inductance, In any a-c circuit where resistance and reactance values of the R, L and C com ponents are given, the absolute or numeri Re = resistance in ohms acting in series with capacitance, cal magnitude of impedance and phase 0 = phase angle in degrees by which current leads voltage in a ca pacitive circuit, or lags voltage angle can be computed from the formulas which follow. in an inductive circuit. In a In general the basic formulas expressing total impedance are: resonant circuit, where Xl equals Xc, 8 equals 0°. for series circuits, Degrees X 0.0175 = radians. 1 radian = 57.3°. Zt =VrTTx?, , Numerical MagnitudOof Impedance . . . for parallel circuits, R —WW of resistance alone Va» + b,' Z = R See page 17 for formulas involving impedance, con 6=0° ductance, susceptance and admittance. 14 ALLIED'S ELECTRONICS DATA HANDBOOK 1( of resistance in series Z = Rx + Rt + Rt. • • etc. 0 = 0° nfi^ of inductance and capacitance in series Z = Xl — Xc 0 = -90° when Xl < Xc -nsw^ = 0° when Xl = Xc of inductance alone = 4- 90° when Xl > Xc Z = Xl 6 = + 90° of resistance, inductance and capacitance of inductance in series in series Z = Xlx + Xlz 4" -Xia e = + 90° . etc. z = VR2 4- (Xl - Xc)2 - 6 = arc tan Xl — Xc R of capacitance alone Z = Xc 6 = - 90° of resistance in parallel of capacitance in series 1 Z = Z = Xcx + Xct + Xot • • • etc. 0 = - 90° 1 + 1 + 1...etc. Rx Rt Rz = 0° or where only 2 capacitances Ci and C2 are involved, I 5- 1 'C' + C' 2tt/\ C,C2 or where only 2 resistances Rx and R2 are = -90° -vwv aw^—I involved, z_ RiR* r&Wt- Rx 4- R2 of resistance and inductance in series 9 = 0° Z = Vr2 4- Xl2 Xl 6 = arc tan B of inductance in parallel of resistance and capacitance in series 1 Z = z =Vr2 + Xc2 Xlx Xc 0 = arc tan — = 4-90° R 15 XLt XL3 . . etc. ALLIED'S ELECTRONICS DATA HANDBOOK CDor where only 2 inductances Lx and L\ are involved, of inductance and capacitance in parallel, 7 — Xl Xc Lx L2 Z = 2tt/ Xl — Xc Lx + Li = 4-90° 6 = 0° when Xl = Xc r—nnp^—i L Hfer R -AW- of inductance, resistance and capacitance in of capacitance in parallel parallel 1 Z = JL + J. + -L Xcx d = - Xct RXlXc Z = V Xl2Xc* + (RXl-RXcY Xc, • ' • etc- 90° 6 = arc tan RXc - RXl Xl Xc or where only 2 capacitances Ci and C2 are involved, z- ! 2*f (C, 4- C.) 0 = - If- 90° of inductance and series resistance in paral lel with capacitance CD / Z= R* + Xl2 z = xc yJRi 4-, (X _• (Xl - Xc? of inductance and resistance in parallel, RXl Vr2 + Xl' 6 = arc tan XlXc-Xl'-R* RXc 0 = arc tan — Xl CD If of capacitance and series resistance in par allel with inductance and series resistance of capacitance and resistance in parallel, (Rl2 4- Xl2) (Rc2 4- Xc2) •V (Rl + Rc)1 + (Xl - Xc)2 Z = VR2 + Xc2 = ♦ R — arc tan — 6 = arc tan Xc 16 XL(Rct+Xci)-Xc (Rl2+Xl2) Rl(Rc2+Xc2) + Rc (Rl1 4- Xl*) ELECTRONICS ALLIED'S HANDBOOK DATA Conductance Admittance In direct current circuits, conductance is expressed by mittance of a series circuit is expressed by In an alternating current circuit, the ad 1 Y = -I Vr1 4- x2 Admittance is also expressed as the recipro cal of impedance, or where G = conductance in mhos, R = resistance in ohms. *-\ In d-c circuits involving resistances Rx, R2, R3, etc., in parallel, where Y = admittance in mhos, the total conductance is expressed by G total = Gx + Gt + G3.. R = resistance in ohms, X = reactance in ohms, Z = impedance in ohms. etc. and the total current by /total = E Gtotal R and X in Terms of G and B and the amount of current in any single resis tor, Rt for example, in a parallel group, by . _ Resistance and reactance may be expressed in terms of conductance and susceptance /total Crj as follows: ' ~ Gx + Gt + G,. . . etc. ' R - R, E and / in Ohm's law formulas for d-c circuits may be expressed in terms of con ductance as follows: • -I, B G X = G' + B* G2 4- B" G, B, Y and Z in Parallel Circuits ,-|, i-m, In any given a-c circuit containing a number of smaller parallel circuits only, where G = conductance in mhos, the effective conductance Gt is expressed by R = resistance in ohms, G, = Gx + Gt-r-G3... etc., E = potential in volts, and the effective susceptance Bt by / = current in amperes. Bt = Bx + B, + B,. . . etc. Susceptance and the effective admittance Yt by Yt^y/Gf + Bt* In an alternating current circuit, the sus ceptance of a scries circuit is expressed by and the effective impedance Zt by B= ^ 1 R2 + X2 Zt = or, when the resistance is 0, susceptance becomes the reciprocal of reactance, or VgT+b? 1 or — Yt where R = resistance in ohms, X = reactance (capacitive or induc B=l tive) in ohms, G = conductance in mhos, X B = susceptance in mhos, Y = admittance in mhos, Z = impedance in ohms. where B = susceptance in mhos, R = resistance in ohms, X = reactance in ohms. 17 ALLIED'S ELECTRONICS D A T A H A N D B O O K Transient / and E in LCR Circuits The formulas which follow may be used to closely approximate the growth and decay of current and voltage in circuits RC = time constant of RC circuit in seconds, L involving L, C and R: where — = time constant of RL circuit in seconds, t <= any given time in seconds after switch is thrown, e = a constant, 2.718 (base of the natural system of logarithms), i = instantaneous current in am peres at any given time (t), E —potential in volts as designated, R = circuit resistance in ohms, C = capacitance in farads, L = inductance in henrys, V = steady state potential in volts, Vc = reactive volts across C, Sw <= switch The time constant is defined as the time in seconds for current or voltage tofall to | or 36.8% of its initial value or to rise to (l —g) or approximately 63.2% of its final Vl = reactive volts across L, Vr = voltage across R value. Charging a De-energized Capacitive Circuit Discharging an Energized Capacitive Circuit E=applied potential. E = potential to which C is charged prior to closing Su>. . E . -J- E --i. i=r Vc= E(l- e~™\ VR = Ee~RC RC Vc = Va = Ee *c 18 ALLIED'S ELECTRONICS DATA HANDB O OK An Energized Inductive Voltage is Applied to a Deenergized Inductive Circuit Circuit is Short Circuited <•> Fuse Blows L Sw Sw -CM O- E = counter potential induced in E = applied potential coil when switch is closed. <-!'(--") - lit Vr = E 1- e m Rt I- Vl = Ee Vl= Vn = Ee L L Steady State Current Flow In a Capacitive Circuit In an Inductive Circuit In a capacitive circuit, where resistance loss components may be considered as neg In an inductive circuit, where inherent resistance and capacitance components may ligible, the flow ofcurrent at a given alter nating potential of constant frequency, is rent at a given alternating potential of a be so low as to be negligible, the flow of cur constant frequency, is expressed by expressed by E Xc I _ E__ = E (--WC) 1 E Xl~ 2tt/L 2tt/C where where / = current in amperes, I = current in amperes, Xl = inductive reactance of the cir Xc = capacitive reactance of the cir- cuit in ohms, • cuit in ohms, E = applied potential in volts. E = applied potential in volts. 19 ALLIED'S ELECTRONICS DATA HANDBOOK Transmission Line Formulas Attenuation in decibels per foot of wire is Concentric Transmission Lines given by Characteristic impedance in ohms is given by , db = Z = 138 log?-1 i 2D logT R-f resistance in ohms per foot of copper line, is given by R-f resistance in Ohms per loop-foot of wire, is given by r=V7(-k +i)xl°-' _ Rf = Attenuation in decibels per foot of line, is 2X10-av7 d where Z = characteristic given by a 0.0157 Rf impedance in ohms, = 4.6v7(di + d2) «(log£) D = spacing between wire centers in inches, X 10" d = the diameter of the conductors in inches, where Z = characteristic impedance in ohms, L = inductance in microhenrys per foot of line, r = radio frequency resistance in ohms per foot of copper line, C = capacitance in micromicrofar ads per foot of line, a = attenuation in decibels per foot of line, db = attenuation in decibels per foot of wire, d\ = the inside diameter of the outer Rf = r-fresistance in ohms per loop- conductor, expressed in inches, foot of wire, cfc = the outside diameter of the inner conductor, expressed in inches, f = frequency in megacycles. / = frequency in megacycles. Vertical Antenna Two-Wire Open Air Transmission Lines The capacitance of a vertical antenna, shorter than one-quarter wave length at its operating frequency, is given by Characteristic impedance in ohms is given by Z=276(log ^ r 17/ I7i 241 -i Inductance in microhenrys per foot of line is given by L=0.281 (log ^ Capacitance in micromicrofarads per foot d = diameter of antenna conductor in inches, of line is given by C = -@'j where Ca = capacitance of the antenna in micromicrofarads, I = height of antenna in feet, / = operating frequency in mega 3.68 cycles, c = 2.718 (the base of the natural system of logarithms). logT 20 ALLIED'S HANDBOOK DATA ELECTRONICS Trigonometric Relationships In any right triangle, if we let 8 = the acute angle formed by the hypot enuse and the base leg, tf> = the acute angle formed by the hypot enuse and the altitude leg, H = the hypotenuse, also A = the side adjacent 0 and opposite </>, 0 = the side opposite 0 and adjacent$, then sin 0 = cos0 esc = SCC0 COS 0 = s\n<f> sec < = CSC<£ tan 6 = cot0 cot I = tan0 sine of8 = sin 8 = jj and 1 1 = cosine of8 = cos 8 = jj CSC 1 1 tangent of8 = tan 8 = ^ = sec i 1 cosecant of 8 = esc 8 secant of 8 = sec 8 cotangent of 8 = cot 8 1 = cot0 0 The expression "arc sin" indicates, "the angle whose sine is" . . .; likewise arc tan H A A indicates, "the angle whose tangent is" . . . 0 etc. See formulas in table below. A H O <t> 8 0 Va2 + o2 A&O arc tan — VH2 - A2 A& 8 A tan 0 . A arc sin — ti H 90° - 0 cos 0 A A tan 4> sin <f> 90° - 4> 0 0 arc sin — arc cos — . OA 0 A arc cos —. A A&o , arc tan — A A A&H O&H = tan0 cot I tan0 Formulas for De»ermining Unknown Values of . . . Known Values = COS0 sec< COS0 H = sin 0 csc( sin0 Vh*- - o2 ti 0 0 tan 0 sin 0 0 o&<t> 0 tan <f> H& 8 H cos 0 tfsin 0 H&<$> H sin <f> H cos <j) cos <(> 0 90° - 0 90° - <t> 90° - <f> 21 90° - A L L I E D * S ELECTRONICS DATA HANDBOOK Vacuum Tube Formulas and Symbols Vacuum Tube Constants Amplication factor (Mu orp) is given by u = A E A Eg Maximum power output in fix, which results when Rl=Tp, is given by (with Ip constant) Dynamic plate resistance in ohms, is Maximum uridistorted poweroutput in Rl. which resultswhenRL=2rp, is givenby given by 2(nE,y A E 9rp • •"' rv - ——• (witli Eg constant) A Iv Mutual conductance in mhos, is given by gm AEi Required cathode biasingresistor in ohms, for a single tube is given by Eg (with Ep constant) Vacuum Tube Symbols Vacuum Tube Formulas Muoru = Amplification factor, Gain per stage is given by rp = Dynamic plate resistance in ohms, gm = Ep = Eg = Ip = Hfo +r,/ Voltage output appearing in Rl is given by Rl = Plate load resistance in ohms, ( EsRl \ ^{rp + Rj /* = Total cathode current in am peres, Em = Signal voltage in volts^ A = change or variation in value, Power output in Rl, is given by Rl Mutual conductance in mhos, Plate voltage in volts, Grid voltage in volts, Plate current in amperes, ( *B. i which may be either an incre ment (increase), Or a decrement (decrease). \rp + Rl) Peak, R.M.S., and Average A-C Values of £ & / To g«l... Given Valuo Peak Peak R.M.S. 1.41 X R.M.S. Av. 1.57 X Av. R.M.S. Av. 0.707 X Peak 0.637 X Peak 0.9 X R.M.S. 1.11 X Av. 22 > ELECTRONICS ALLIED'S DATA HANDBOOK Transistor Formulas and Symbols Common Emitter Configuration Transistors can be made to amplify, detect, or to oscillate in much the same manner as vacuum tubes. Shown in the drawings below,is a comparison between a triode vacuum-tube and a PNP transistor; where the transistor EMITTER CATHODE PNP Transistor Triode Vacuum Tube base is comparable to the tube grid, the transistor emitter is comparable to thetubecathode, andthe transistor collector iscomparable to the tubeplate. Transistor Symbols Transistor Formulas a = Current gain common Input Resistance, base Ri = Mi Ae (Av) = Voltage gain Ai = Current gain Current Gain, A = Power gain B = Current gain common Ai = -^f (with Ve constant) emitter Voltage Gain, h = Base current AV Ae = -TtT5 (with Icconstant) Ie = Collector current /„ = Emitter current Output Resistance, Ro — AV0 AIo /, = Input current Pi = Input power P0 = Output power An = APo APi Ri = Input resistance R0 = Output resistance Vb = Base voltage Power Gain, The current gain of the common base configuration is alpha, where Ve = Collector voltage Vi = Input voltage a = -rf (with Ve constant) ill e A direct relationship exists between The current gain of the common emitter is beta, where the alpha and beta of a transistor. B /3 = -rf (^h Vc constant). a = l + B Courtesy Howard W. Sam's Photofaet Publication: "ABCs of Transistors.' 23 B = a 1 -a A L L I E D ' S ELECTRONICS DATA HANDBOOK Transistor Amplifier Circuit Configurations With Vacuum & Tube Counterparts The transistors of primary interest to the exclusively for mostamplification purposes radio engineer and service technician are as are the common or grounded-cathode the PNP and NPN junction types, whose transistor actions are identically alike, ex vacuum tube circuits. The common-base and common-grid as well as commoncollector common-plate circuits are used more for special applications such as impedance matching to and from audio transmission lines, etc. cept that symbohcally, the emitter arrow points towards the base in the PNP and away from the base in the NPN. The common-emitter circuits are used almost PNP CONFIGURATIONS NPN CONFIGURATIONS |*m- HWV* VW VACUUM-TUBE CONFIGURATIONS < +BATT. 8 + Common emitter—Common cathode. E C wr ^ f + BATT. -BATT. -BATT. I +BATT. B + Common base—Common grid. B + • -BATT. O + BATT. Common collector—Common plate. 24 ALLIED'S ELECTRONICS DATA HANDBOOK Common-Emitter Amplifier Circuits Using Transistors Only In comparing the PNP and NPN circuits shown here, note that the current flow in the components of one is completely re versed in the other. With the vacuum tube, this complete interchange of current and voltage polarities does not exist. Because of this interchange in the transistor, circuits which have no parallel in vacuum-tube circuitry can be produced. Nevertheless, the circuits of transistorized equipment are still quite similar in many respects to those of equipment employing vacuum tubes. Using PNP Transistors TI o o o o o 1 -AM—f -=- BATT. •1 t i With Negative Battery Terminal Grounded With Positive Battery Terminal Grounded Using NPN Transistors e :1 n, -=- BATT. S BATT. I With Negative Battery Terminal Grounded With Positive Battery Terminal Grounded 25 AILIED'S ELECTRONICS DATA HANDBOOK D-C Meter Formulas Ohms per Volt Rating of a Voltmeter Meter Resistance The d-c resistance of a milliammeter or voltmeter movement may be determined as follows: where Sl/V = ohms per volt, I/» = full scale current in amperes. Fixed Current Shunts 1. Connect the meter in series with a suitable battery and variable resist ance Ri as shown in the diagram above. 2. Vary Ri until a full scale reading is obtained. R = Rm 3. Connect another variable resistor Ri across the .meter and vary its value until a half scale reading is obtained. R = shunt value in ohms, N= the new full scale reading divided by the original full scale reading, both being stated in the sameunits, 4. Disconnect R2 from the circuit and measure its d-c resistance. Rm = meter resistance in ohms. The meter resistance Rm is equal to the measured resistance of Rt. Multi-Range Shunts Caution: Be sure that Ri has sufficient resistance to prevent an off scale reading of the meter. The correct value depends upon the sensitivity of meter, and voltage of the battery. The following formula can R|*2 be used if the full scale current of the meter ^ »-tWWVWW-l-»M/WvVV\^t— is known: ff,= 1- R2 voltage of the battery used full scalecurrent of meter in amperes 1_ Ri Ri = 1+ Ri + 2-T-Rm N For safe results, use twice the value com puted. Also, never attempt to measure the Ri = intermediate or tapped shunt value in ohms, resistance of a meter with an ohmmeter. To do so would in all probability result in a burned-out or severely damaged meter, sincethe current requiredfor the operation of some ohmmeters and bridges is far in excess of the full scale current required by the movement of the average meter you R1+2 = total resistance required for the low est scale reading wanted, Rm = meter resistance in ohms, N = the new full scale reading divided by the original full scale reading, both being stated in the same units. may be checking. 26 > ALLI ED'S ELECTRONICS Voltage Multipliers HANDBOOK DATA Measuring Resistance—(Continued) n/VWWWWWVW^- + . + R R —~j if* Rm with Milliammeter, Battery and Known Resistor R = multiplier resistance in ohms, Ef» = full scale reading required in volts, IA = full scale current of meter in am «••(*+**)<Mr) Rx = I Ry 4" Rm Rx = Rv = Rm = h = h = peres, Rm = meter resistance in ohms. Measuring Resistance —WWWWr-^lllll-^- Sw. unknown resistance in ohms, known resistance in ohms, meter resistance in ohms, current reading with switch closed, current reading with switch open. Rx >• iWVW/WV ' Rx with Milliammeter and Battery* Rx — Rt with Voltmeter and Battery \h - h) Rx— Rm Rx = unknown resistance in ohms, Rm = meter resistance in ohms, or effec ffi-0 Rx = unknown resistance in ohms, tive meter resistance if a shunted Rm = meter resistance in ohmd, including range is used, multiplier resistance if a multiplied I\ = current reading with switch open, 12 = current reading with switch closed, Ri = current limiting resistor of suffi cient value to keep meter reading on scale when switch is open. range is used, Ei = voltmeterreadingwithswitch closed, E2 —voltmeter reading with switch open. * Approximately true only when current limiting resistor is large as compared to meter resistance. Multiplier Values for 27-Ohm 0-1 Milliammeter Shunt Values for 27-Ohm 0-1 Milliammeter FULL SCALE CURRENT 0-10 0-50 FULL SCALE VOLTAGE SHUNT RESISTANCE 0-10 volts 0-50 volts ma ma 3.0 0.551 ohms ohms 0-100 volts 0-250 volts 0-100 ma 0.272 ohms 0-500 volts 0-500 ma 0.0541 ohms 0-1,000 volts 27 MULTIPLIER RESISTANCE 10,000 50,000 100,000 250,000 500,000 1,000,000 ohms ohms ohms ohms ohms ohms A L L I E D ' ELECTRONICS S HANDBOOK DATA Ohm's Law for A-C Circuits The fundamental Ohm's law formulas for Power Factor a-c circuits are given by E The power-factor of any a-c circuit is equal to the true power in watts divided by the apparent power in volt-amperes which is equal to the cosine of the phase angle, and is expressed by z = E- / = I E = IZ, where / Z E P 8 = = = = = P = EI cos 8 current in amperes, impedance in Ohms, volts across Z, power in watts, phase angle in degrees. p.f. = EI cos 8 FJ EI = cos 0 where p.f. = the circuit load power factor, EI cos 8 = the true power in watts, EI = the apparent power in volt- Phase Angle amperes, E = the applied potential in volts The phase angle is defined as the differ ence in degrees by which current leads voltage in a capacitive circuit, or lags volt / = load current in amperes. age in an inductive circuit, and in series circuits is equal to the angle whose tangent is given by the Therefore in a purely resistive circuit. v ratio —• and is expressed by 8 = 0° and p.f. = 1 R . and in a reactive circuit, X arc tan — R 8 = 90° and p.f. = 0 where X = the inductive or capacitive reac tance in ohms, and in a resonant circuit, 8 = 0° and p.f. = 1 R = the non-reactive resistance in ohms, of the combined resistive and reactive com Ohm's Law for D-C Circuits ponents of the circuit under consideration. The fundamental Ohm's law formulas for Therefore d-c circuits are given by, in a purely resistive circuit, 8 = 0° in a purely reactive circuit, 8 = 90° and in a resonant, circuit, -I' 8 = 0° E = IR, also when 8 = 0°, cos 8 = 1 and P = EI, 8 = 90°, cos 8 = 0 and P = 0. R-E R-j, P = EI. where / = current in amperes, R = resistance in ohms, E = potential across R in volts, Degrees X 0.0175 = radians. P = power in watts. 1 radian = 57.3°. 28 ALLIED'S ELECTRONICS DATA HANDBOOK X Ohm's Law Formulas for D-C Circuits Formulas for Determining Unknown Values of ... Known Values R / l&R E P IR PR E EI l&E I l&P P P I2 I E E* R R R&E Vpr 4 R&P P E* E P E&P Ohm's Law Formulas for A-C Circuits H Formulas for Determining Unknown Values of . . . Known Values / 1 l&Z E P IZ PZ cos 8 E l&E IE cos 0 I P P V cos 8 I cos 8 l&P E E2 cos 8 Z Z Z&E Z&P 1 P \ Z cos 1 PZ Vcos 8 8 P E2 cos 8 E cos 8 P E&P 29 R A LLI ED' S ELECTRONICS DATA HANDBOOK Coil Winding Data Turns Per Inch Gauge Coil Winding Formulas The following approximations for wind Number of Turns per Linear Inch ing r-f coils are accurate to within approx. 1% fornearlyall smallair-core coils, where (AWG) or (B&S) D.S.C. Enamel S.S.C. and D.C.C. L = self inductance in microhenrys, N = total number of turns, r = mean radius in inches, S.C.C. 1 2 3 4 5 6 7 8 9 10 11 1? 13 14 — — — — — — — — — — — — 7.6 8.6 9.6 10.7 12.0 — — — — 3.3 3.8 4.2 4.7 5.2 3.3 3.6 4.0 4.5 5.0 5.9 6.5 7.4 8.2 9.3 5.6 6.2 7.1 7.8 8.9 10.3 11.5 12.8 14.2 15.8 9.8 10.9 12.0 13.8 14.7 Single-Layer Wound Coils 15 13.5 15.0 16.8 16 17 18 19 20 18.9 21.2 23.6 26.4 29.4 18.9 21.2 23.6 26.4 29.4 17.9 19.9 22.0 24.4 27.0 16.4 18.1 19.8 21.8 23.8 21 22 23 24 25 33.1 37.0 41.3 46.3 51.7 32.7 36.5 40.6 45.3 50.4 29.8 34.1 37.6 41.5 45.6 26.0 30.0 31.6 35.6 38.6 26 27 58.0 64.9 28 29 30 72.7 55.6 61.5 68.6 81.6 90.5 74.8 83.3 50.2 55.0 60.2 65.4 41.8 45.0 48.5 51.8 55.5 31 32 33 — — — 101. 113. 92.0 101. 34 35 127. 143. 158. 110. 120. 132. 36 37 38 39 40 175. 198. 224. 248. 282. 143. 154. 166. 181. 194. J 71.5 77.5 83.6 90.3 97.0 104. 111. 118. 126. 133. 140. I = length of coil in inches, b = depth of coil in inches. —i—-I 30QOOOOOOC- axmxxttg L = N = (ri\r)a 9r-r-10Z y/LC&r + 101) Multi-Layer Wound Coils L = 59.2 62.6 66.3 70.0 73.5 Or+ 91 + 106 Single-Layer Spiral Wound Coils 77.0 hH 80.3 83.6 86.6 89.7 (rJV)a 8r+116 30 ^ ELECTRONICS ALLIED'S HANDBOOK DATA Table of Standard Annealed Bare Copper Wire Using American Wire Gauge (B&S) Gauge WEIGHT LENGTH RESISTANCE AT 68* F Circular Mils Pounds Feet Ohms Feet Ohms perM' per Lb. perM' per Ohm per Lb. (B&S) Min. Norn. Max. 0000 000 00 0 .4554 .4600 .4055 .3512 .3217 .4096 .3648 .3249 .4646 .4137 .3684 .3281 211600. 167800. 133100. 105500. 6400i 507.9 402.8 319.6 i .2864 2 s 4 .2550 .2893 .2576 .2294 .2043 .2922 .2602 .2317 .2063 83690. 66370. 52640. 41740. 253.3 2000) 159.3 .1604 .1819 .1620 .1637 .1636 .1429 .1272 .1443 .1285 .1457 33100. 26250. 20820. 16510. 100.2 79.48 630)2 490)8 9 10 11 12 .1133 .1009 .08383 .08000 .1144 .1019 .09074 .08081 .1155 .1029 .09165 .08162 13090. 10380. 8234. 6530. 39053 31.43 240)2 19.77 25.23 31.82 40.12 5059 .7921 0)989 1.260 10)88 IS 14 15 16 .07124 .06344 .05650 .05031 .07196 .06408 .05707 .05082 .07268 .06472 .05764 5178. 4107. 15.68 12.43 0)5133 2583. 90)58 7.818 63.80 80.44 101.4 1270) 20)03 20)25 3.184 40)16 17 18 19 20 .04481 .03990 .03553 .03164 .04526 .04030 .03589 .03196 .04571 .04070 .03625 .03228 2048. 1624. 1288. 1022. 6.200 40)17 3.899 3.092 161.3 203.4 256.5 323.4 21 22 23 24 .02818 .02510 .02234 .01990 .02846 .02535 .02257 .02010 .02874 .02560 .02280 .02030 810.1 642.4 509.5 404.0 25 26 27 28 .01770 .01790 .01578 .01406 .01251 .01594 .01420 .01264 .01810 .01610 .01434 .01277 320.4 254.1 201.5 159.8 29 SO 31 32 .01115 .008828 .007850 .01126 .01003 .008928 .007950 .01137 .01013 .009028 .008050 126.7 100.5 79.7 6321 SS 34 35 36 .006980 .006205 .005515 .004900 .007080 .006305 .005615 .005000 .007180 .006405 .005715 .005100 37 38 39 40 .004353 .003865 .003431 0)03045 .004453 .003965 .003531 .003145 0)04553 .004065 0)03631 0)03245 41 42 43 44 45 46 .00270 .00239 .00212 .00187 .00166 .00147 .00280 .00249 .00222 0)0290 .00259 0)0232 .00207 .00186 .00167 5 6 7 8 Surrent* Capacity (AWQ) or AREA DIAMETER INCHES .227? .2023 .1601 .00993 .00197 .00176 .00157 .1298 3257. 50.13 39.75 31.52 126.4 0)004891 0)007778 .001237 .001966 9.980 120)8 15.87 20.01 .3133 .3951 .4982 0)282 3192. 2531. 2007. 1592. .003127 0)04972 0)07905 .01257 1262. 1001. 794. 629.6 .01999 08178 .05053 .08035 817.7 .3836 4042 .2413 .1913 .1817 .1203 25.00 0)9542 .07568 19;83 .06001 1&72 .64759 .03774 12.47 8070. 6400. 5075. 4025. 1.523 §699 §£88 .02993' *:8489 ma 6.2001 .01877 4.9284 30)809 3.0976 2.4649 0)1492 .01175 .00938 .00746 ♦Note: Values from National Electrical Code. 31 100 80 SO .1239 .1663 .1970 .2485 407.8 514.2 .6100 .4837 225 175 150 125 3.947 4.977 6.276 70)14 50)64 &3S5 80)51 10.15 499.3 .1278 3960) 3140) 2490) .2032 0)136 197.5 .8167 156.5 10299 124.2 2.065 98.5 3.283 5.221 8401 13.20 20.99 78.11 1031. 1300. 1639. 2067. 32.37 40.81 51.47 64.90 30.90 240)0 19.43 15.41 53.06 84.37 134.2 2607. 3287. 4145. 5227. 81.83 103.2 130.1 164.1 12.22 9.691 7.685 6.095 2134 339.2 5394 857.6 6591. 8310. 10480. 13210. 2060) 2600) 329.0 414.8 40)33 30)33 3.040 2.411 16660. 21010. 26500. 33410. 523.1 659.6 831.8 1049. 10)12 10)16 42140. 53270. 67020. 85100. 106600. 134040. 1323. 1673. 2104. 2672. 3348. 4207. 61.95 49.13 38.96 33.37 1364. 2168. 3448. 5482. 8717. 00)534 13860. 22040. 35040. .7559 0877 .4753 .3743 .2987 .2377 55750. 89120. 141000. 227380. 356890. 563900. 1.202 70 55 50 35 25 20 15 .3230 120)0 16.14 20.36 25.67 646.4 Rubber nsulated 0)0007652 0)001217 .0001935 .0003076 2.482 3.130 2.462 1.945 1.542 .7692 20400. 16180. 12830. 10180. .04901 .06180 .07793 .09827 1.561 1.968 (Amps)— « S ALLIED'S ELECTRONICS DATA HANDBOOK Single-Layer Wound Coil Chart Axis i-0 K L 10-q 8-400 65- -i -20,000 4- -300 •10,000 -2 3- 6,000 •4,000 -200 w„* 3,000 2,000 r3 N&* -,«-*' 2- -150 T,000 '100 •90 r4 •600 80 -70 200 1- rS •60 -too •50 80 •60 r6 -40 .8- •40 •30 •20 r30 -7 -,0 .6- N= Total no. of turns :: L= 3 r8 .5- Inductance /uhs r^+fn ni DIAMETER K = Ratio of LENGTH .4- •2 r'5 D = -9 -10 Diameter (inches) •1.0 -.8 -.6 .3- -.4 -.3 =-io -.2 -.1 L5 .2- E-ll Courtesy, P. R. Mallory & Co., Inc. 32 L.S ALLIED'S ELECTRONICS DATA HANDBOOK Single-Layer Wound Coil Chart The chart on the opposite page provides 2. Now move the straightedge so as to a convenient means of determining the un known factors of small sized single-layer wound r-f coils. Values thus found so closely form a second line which will intersect this same point on the axis column, and the diameter D. approximate thosedetermined by measure 3. The point where this line intersects ment or mathematical calculation as to be the L column indicates the inductance of the coil in microhenries. entirely satisfactory for all practical pur poses of experimentation, design, and re pair work. Since in all coils of this type, the Example: Given the diameter, winding length and inductance in microhenries,— to difference between the mean and inner di ameter of the winding is so slight as to be find the number of turns; negligible, D in all instances may be either 1. Simply reverse the process outlined the mean or inner diameter as desired. above for determining inductance. Example: Given the total number of turns, winding length and diameter of a coil,— to find the inductance; 2. After finding the number of turns, con sult the wire table on page 26 and de termine the size of wire to be used. 1. Place a straightedge on the chart so as to form a line intersecting the number of turns N, and the ratio of diameter to length K, and note the point inter The dotted lines appearing on the chart illustrate the correct plotting of a 600-microhenry coilconsisting of 100turns of wire, wound to 51/64" on a form 2" in diameter. sected on the linear axis column. Inductance, Capacitance, Reactance Charts Since A'/,= Xc at resonance in most radio circuits, the charts may also be used to find the resonant frequency of any combination The direct-reading charts appearing on the following three pages are designed for determining unknown values of frequency, inductance, capacitance and reactance com of L and C. ponents operating in a-f and r-f circuits. To illustrate with a simple example, sup pose the reactance of a 0.01 pi. capacitor is desired at a frequency of 400 cycles. Place a straight-edge across the proper chart so as to connect the points 0.01 pi. and 400 cycles per sec. The quantity desired is the point of intersection with the reactance scale which is 40,000 ohms. The straight edge also intersects the inductance scale at 15.8 henrys indicating that this value of The simplifications embodied in these charts make them extremely useful. The frequency range covered comprises the fre quency spectrum from 1 cycle per second up to 1000 megacycles per second. All of the scales involved are plotted in actual magnitudes so that no computations are re quired to determine the location of the dec imal point in the final result. To make these conditions possible the inductance likewise has a reactance of 40,- frequency spectrum has been divided into 000 ohms at 400 cycles per sec. and further more, that these values of L and C produce resonance at this frequency. three parts: Chart I (page 30)—Covers the range from 1 cycle to 1000 cycles. Chart II (page 31)—From 1 kilocycle to There are many practical uses for these charts. The radio experimentor, mainten ance man and engineer will find them helpful in the rapid solution of many re actance problems. Unusual care was exer cised in laying out the various scales in order to secure a high degree of accuracy 1000 kilocycles. Chart m (page 32)—From 1 megacycle to 1000 megacycles. Inductance, capacitance, reactance and frequency have been plotted so that the re actance offered by an inductance or capac for the charts. Results should be obtainable itance at any frequency may be readily de termined by placing a straight-edge across the chart connecting the known quantities. which are at least as accurate as might be secured with a ten-inch slide rule. 33 o I s /gs* ADN3n03Hd a i s D3S/S3T3AD - *- «a u 5 • .. « 8 ! § I S3IUN3H |....l 9 f.l.l.l.l. |....l....l |....l 3 <m S3IUN3H ,§ _ [.l.l.l.l. (....I....I SNHO 3 ooo ooo 8 0.n" - —-30NVJLDfKINI^— 82" —-3DMVXDV3M ox w nx m ls9 «• d ,S '9 S 8B 8= g« i g JS 8o SWH003W II savwjrf—"— • 3 - " moo |....l | | |.l.l.t.l. |....l....l | ' |....l | f ": <a a a «n m_ « « 3 8 8«8 —• g sovavj o 6^ N _ n ^ n - Mo, o no2 8 S § |«| 8 8 8m 3 3 3n . n moo 30NVXIDVdVO - L.^ilL^. I.l.l.l.l •l..„l....f.... I....I....I.l.l.ltl. >.tr.t..r.l... •t»..l.... I.l.l.l.l . I,...l....l §|1 « WJiliLfrnihinLttiMijiMiLhlAiKmlimlim^^^^ i—savuvd rrrr—»—savuvyrf SSxfi 3 s S SaSI NS <S,S0 8 8§|§ 8 § 8 3 3 3«a 2 O « ~. —J - M•I.I.I •ml..«U.I.U. ..J..JJ.I. I.I....I...,U. I.I.I —l.».l.^ .I.l.| —f..^l—I •l.l.f —|....l—I •l.l.| —|....l._| . I.l.| ...JL...L.-I •t.l.[ —|....l-j . I.l.| —f....l.-j .l.l.f —f....I._[ . I.l.f —|.„.l_j D°*> •J- § ^ ttQ) O c u o T 3 I 1 -33S/S310A0 i 7 si c o « 1 o 2 o 2o «• 9 '«» .. — •03S/S31DA00niM 2 6 o * ft A0N3n03HJ- in ooo out ««» •D3S/S3TDJ001IM o m i 3 9 w O C w o U O Q. O w « c D u o as s8 o 8 <n o o o « 0X-«°3X o 8 -30NVXDV3H n o 3DNVXI0VdVD- 8 ooo o o sovavj rf SftHO 3 3s 8 8 -SOVbVJ—I S3IUN3HmiW IONV±OnCINI 3 8 S3IHN3HIT1W 3 3 3 3 [....I....|.i.i.l.l.>—t—i — f—t— |.i.i.i.i. ;....l....l....[....l....|.l.t.l.l.|..-.i—1....I—i..-.f.i.i.i.i.|....l—•..--f—t....f.i.l.t.i.f....l—1 — |—f — i-t-t-•.l. f—•—• — |—y J SWH003W 3 |.U.I.I.|..,LJ....|....l....|Jll.l.p..J....|.,^ sovavjrfrf <•> § 8 « - —• — 8I...J ,i.I.i....|...,lj . l.l.|....|....l...[ .i.i.|....|....i-j. i.i.| —§—1_| .i.i.|...jl.j...| . i.t.|....|...j_|.t-1-|—f—r_|. i.i.| ....|....i..4 .i.i.|....[....l{ .i.i.| ••••|....i..j .i.i.i....jl.j_| ,i.i.|....|...j j N H S ^« . °O 2p SSfi fi !& 9 B = " "> b SI «-n no© *> 2= « o « 8 8s s 8 ° 3a 3If 3S - N 38 833 « 8 3 u 9o I....I....I....I....1—I....I....I....I....I—I—l.l.l.l.t.l.l.l.t. I. f—I....I..-.I—I—t....t....]....t....l—f— l.l.t-l.l.f.l.t.l • I-t....l....l-.-.t....l—l....l...^....t....l—I—t.l.l.l.l.l.l.l.l. 1.1 2 ? 8S o = P K OHMS P K-rs ri o JJ FARADS BO o k, O I XL OR XC - w o o REACTANCE M ro u o li o c U HENRIES w w c MEGACYCLES/SEC. - - W - <J N «* w-8 fc f W FREQUENCY ~ 5 £ S-S iv) u » u 0 1 * 0 0 0 0 MEGACYCLES/SEC S2S & S § _ JP OOPOOOqSoQO S p o- o x 0 ft 3 Ef n ^m g^^ S ^ 5 ft. ft £ Q o O a. C 3 88** UM— JJJJ FARADS u. 0 g DO LJJ FARADS - M 1 o O 11 5ooo " c CAPACITANCE - MEGOHMS 2 5 3 _ "• — > E o EK P L -o Mw 5 o o wo 00 0o S o 8 o o o o0 0 0§ 8 p o y P w p C ti q • 0 © o frf •.y|,l,^.rj,.M^|.l .y.r,p,,.",,•,,^.^ I 8S 8 |....|.u|,...|,l,.|,.j.|.|.n.|...,|,,.i|..,.|...r<.|.|.|.|,|nl.|..M|,,l.|lHi|i^,|,|l|,|.|,,..|l.M|,...|..n 8- I , g LI HENRIES INDUCTANCE HANDBOOK DATA ELECTRONICS ALLIED'S Metric Relationships 4f ^ ,/vv./ ^ «f v / <r ^ /SS////S4 «f •** <r 8 > «s 1 111 I / 3> £ $? «Jf •<-" •cf *? >? H I / 0» term watt is a basic unit). The number of The above chart shows the relation be tween the American and the metric systems steps so counted is three, and the direction This chart also serves to quickly locate was to the left. Therefore, 5.0 milhwatts is the equivalent of .005 watts. of notation. the decimal point in the conversion from Example: Convert 0.00035 microfarads to one metric expression to another. Example: Convert 5.0 milliwatts to watts. Place the finger on milli and count the num micromicrofarads. Here the number of steps counted will be six to the right. Therefore 0.00035 microfarads is the equivalent of ber of steps from there to units (since the 350 micromicrofarads. Metric Conversion Table DESIRED ORIGINAL VALUE Mega Kilo 3> Mega Kilo Units + 3 VALUE Centi Deci Milli Micro Micromicro 18> 6> 7-y 8> 9> 12> 3> 4> 5> 6> 9> 15> 1> 2> 3> 6> 12* 1> 2-> 5-> 11> 1> 4> 10> 3> 9> Units <- 6 + 3 Deci <• 7 + 4 + 1 2 Centi <• 8 + 5 + Milli -<- 9 + 6 + 3 + 2 + 1 + 4 + 3 +10 + 9 + 1 Micro +12 + 9 + 6 + 5 Micromicro -(-18 -(-15 +12 +11 6> + 6 Example: Convert 0.15 ampere to milliamperes. Starting at the "Units" box in The above metric conversion table pro vides a fast and automatic means of con version from one metric notation to another. the left-hand column (since ampere is a basic unit of measurement), move horizon The notation "Unit" represents the basic tally to the column headed by the prefix "Milli", and read 3-K Thus 0.15 ampere is units of measurement, such as amperes, volts, ohms, watts, cycles, meters, grams, etc. To use the table, first locate the origi nal or given value in the left-hand column. Now follow this line horizontally to the vertical column headed by the prefix of the desired value. The figure and arrow at this point indicates number of places and direction decimal point is to be moved. the equivalent of 150 milliamperes. Example: Convert 50,000 kilocycles to megacycles. Read in the box horizontal to "Kilo" and under "Mega", the notation -<-3, which means a shift of the decimal three places to the left. Thus 50,000 kilo cycles is the equivalent of 50 megacycles. 37 ALLIED'S ELECTRONICS DATA HANDBOOK How to Use Logarithms Logarithms are used to simplify Numerical computations involving multiplications, di vision, powers and roots. With logarithms, multiplication isreduced tosimple addition, and division is reduced to simple subtrac tion. Raising to a power is reduced to a single multiplication, and extracting a root is reduced to a single division. The common logarithmof any numberis tn$ tfqwer to which 10 must be raised in order to equal that number. Therefore, since 1000= 100 = 10 = 1 = 0.1 = 0.01 = = = = = = = = IO2 IO1178 101 IO-846 10° io-1 10-1-845 0.015 = IO-2176 0.001 = io-3 Logarithmic Form log 100 log 15 log 10 log 7 log 1 log 0.1 log 0.7 log 0.015 log 0.001 = = = = = = = = = 2.000 1.176 1.000 0.845 0.000 -1.000 -1.845 -2.176" -3.000 it will be seen that only the direct powers of 10 have whole numbers for logarithms; 103 102 101 10° io-1 io-2 also that the logarithms of all numbers lying between a power of 10, consist of a whole number and a decimal. The whole- numberis called the characteristic, and the decimal, the mantissa. Since the character istic serves only to fix the location of the decimal point in the expression indicated o.ooi = jo-8 o.oooi = lb-4 by the log, it can be found by inspection it is true that log 1000 = log 100 = log 10 = log 1= log 0.1 = log 0.01 = log 0.001 = log 0.0001 = Exponential Form 100 15 10 7 1 0.1 0.7 and is not included in the log table. The following will be helpful: 1. The characteristic of any number 3 2 1 0 -1 -2 -3 -4 greater than 1 is always positive and is equal to one less than the number of digits to the left of the decimal. 2. The characteristic of any number less than 1 is always negative and is ecftial The common system of logarithms has for its base the number 10, and is written logio or more commonly log, sincethe base to one plus the number of zeros tcl the decimal. 3. The characteristic of any nunifyer 10 is always implied unless some other base is specifically indicated. There are formulas may be determined by expressing the' number as a power of 10 and using however which use the natural system of this power as the characteristic of the logarithm for that number. logarithms. This system has for its base the number 2.718 ... which is represented by the Greek letter e and is always written Since only the characteristic of a loga rithm is ever negative, the mantissa always being a positive number, it is customary to write a log containing a negative charac log 6. A table of natural logarithms has not been included in this handbook however, since the common log of a number is ap teristic as follows: proximately equal to 0.4343 times the natu ral log of the same number. Conversely,the natural log of a number is approximately equal to 2.3026times the common log of the log 0.7 = 1.845, or, by adding +10 to the characteristic and, in order to maintain equality, —10 at the same number. right of the characteristic, In observing the following exponential and logarithmic relationships, log 0.7 = 9.845 - 10 38 1.5 1.5 1.5 1.5 15 1.5 15 1.5 0.15 0.015 0.0015 X X X X X X IO2 101 10° 10-1 IO"2 IO-3 2 1 0 -1 or 9 - 10 -2orS - 10 -3 or 7-10 figures is required, generally, a three place table is sufficiently accurate for all practical purposes. Since the mantissa of a logarithm represents only the significant figures of any number, the same mantissa is used for .04, 4, 400, etc., the decimal point being fixed later by the characteristic. Therefore any number consisting of 1 or 2 significant fig ures may be found in the column marked N, and its mantissa will be found on the same line in this column headed by 0. For any number containing 3 significant figures, locate the first two figures in the N column, and the third figure in the column headed Therefore, to find the logarithm of any number: 1. Write the number as a power of 10, and put down the resulting exponent of 10 as the characteristic. 2. Determine the mantissa from the log tables on page 56, and write this as a decimal figure following the char acteristic. by the corresponding digit. The mantissa 3. If the resulting logarithm has a nega tive characteristic, change this to the positive form. Example: Find the logarithm of .00023: Since .00623 - 6.23 X 10-3, the char acteristic is will be found in this column, on a line even with the first two digits. Example: log 21 = 1.3222 log 2.1 = 0.3222 log 210 = 2.3222 log .0021 = 7.3222 log 213 = 2.32S4 log .0213 = 8.3284 log 3 = 0.4771 log 300 = 2.4771 log .003 = 7.4771 The number corresponding —3. The mantissa as shown by the log table is 7945. The resultant logarithm = 3.7945 or when written in its positive form, 7.7945 - 10. To find the log of any number having more than three significant figures (by interpola tion) : 1. Determine the characteristic. take the tabular difference. 10 to a given place the decimal as indicated by the char acteristic. Example: To find the antilog of 3.9138, look up 9138 in the log table. Its corre sponding number is 82, or expressed as a tissa. Example: Find the logarithm of 54.65. Since 54.65 = 5.465 X 101, the char power of 10, equals8.2. A characteristic of acteristic is 1. 3 means that 8.2 must be multiplied by 103. Therefore, antilog 3.9138 = 8.2 X 103 = Next higher mantissa = .73S0 = .7372 8200. Tabular difference = .0008 Similarly X .5 Mantissa of 5.465 10 is written "antilog". Example: Since log of 692 = 2.8401, the antilog of 2.8401 = 692. Finding the antilog of a number is the reverse of finding the logarithm. First locate the mantissa in the log table, and determine its corresponding number. Now, 4. Find the product of the tabular dif ference and the digit following the first three significant figures of the given number written as a decimal. 5. Add this product to the lesser man Product Plus lesser mantissa 10 logarithm is called the antilogarithm, and 2. Find the mantissa corresponding to the first three significant figures. 3. Find the next higher mantissa and Next lower mantissa HANDBOOK Although a four-place log table is used here, for purposes where accuracy to 3 significant Examples: 150 DATA ELECTRONICS ALLIED Antilog 5.9138 = 8.2 X 10s = 82,0000 Antilog 0.9138 = 8.2 X 10° = 8.2 Antilog 7.9138 - 10 = 8.2 X IO"3 = 0.0082 Antilog 9.9138- 10 = 8.2 X 10-1 = 0.82 To find the antilogarithm of a logarithm .00040 .7372 .7376 '. log 54.65 = 1.7376 39 ALLIED ELECTRONICS whose mantissa is not exactly given in the DATA Subtraction of logarithms 4.107/ _ 14.107 - 10 6.986\ 6.986 table, 1. Find the tabular difference between the next highest and next lowest man 7.121 11.672 - 10 tissas. 2. Divide this by the difference between the given mantissa and the next low 5.785 - est mantissa. las: log (a X b) = log a -f log b 4. Place the decimal as indicated by the given characteristic. Example: Find the antilog of 1.7376 Next higher mantissa .7380 log (y) = log a- log b log (a)b Next lower mantissa .7372 Tabular difference .0008 EXAMPLES Tabular difference .0004 .. . ..0004 Quotient of -^^ = .o Total accurate as can be determined with a four- place table. The full answer to this prob lem is 305.04. To Divide Note: When interpolating as shown above, do not exceed four significant figures in your answer since interpolated results from a four-place table are not accurate beyond this point. Difference place table. The product of 224 and 4.29 is 960.96. Powers: Find 122 by logarithms: log of 12 = 1.0792 X2 2.1584 The antilog of 2.1584 = 144. Roots EXAMPLES: Addition of logarithms 10 or 2.610 23.196 - 30 bers. However, since the numerical results of multiplying, dividing, etc., are not affected by the signs, you can determine the numerical results by logarithms and later or 3.196 - Kind \/U3 log of 343 = 2.5353 v3 = .8451 The antilog of .8451 = 7. Logarithms of Negative Numbers. Be cause the logarithms of negative numbers are imaginary in character, they cannot be used in computation as with positive num istic less than 10. 10 10 10 0.6325 accurate as can be determined with a four- characteristic in the total is greater than 9, and the notation —10, —20, —30, etc., appears after the mantissa, subtract a mul tiple of 10 from the positive part and add the same multiple of 10 to the negative part, so as to make the resultant character 6.328 7.764 9.104 - 961 by 224 log of 961 = 2.9827 log of 224 = 2.3502 The antilog of 0.6325 = 4.29 which is as Logarithms are added or subtracted like arithmetical numbers, provided they are written with positive characteristics. If the 12.610 - 2.4843 The antilog of 2.4843 = 305, which is as The resultant figure therefore is .5 larger than the significant figures expressed by the lesser mantissa .7372 or 546. The sequence of figures therefore is 546.5 .'. the antilog of 1.7376 = 54.65 7.068 log a To Multiply 1.24 by 246 log of 1.24 = 0.0934 log of 246 = 2.3909 ,. 10 = /; log a logV« Given mantissa .7376 Next lower mantissa .7372 6.326 6.284 10 The relationships of logarithmic opera tions are expressed by the following formu next lower mantissa. 2.764 10 5.887 3. Add the resulting quotient to the significant figures expressed by the 4.304 HANDBOOK affix the final + or — signs by inspection. 10 40 ELECTRONICS ALLIED'S DATA HANDBOOK Directly Interchangeable Tubes Tube Replace Tube Replace Tube Replace Number with Number with Number with 01A /1AU3 0A2 l1B3GT J1G3GT/1B3GT 0A3 1G3GT C 1J3GT 0A4 J1K36T 0B3 flN2 ^1N2A 0C3 UN2A 1N2 /1AU3 1N2 1N2A 1AU3 1P5 1N5 1D5 0D3 0Y4 0Z4 UE4 1G4 1G5 )lH4 1N5 1P5 1D5 1J5 1Q5 1C5 •j 1E4 1R5SF 1AQ5 /1AU3 1S6 1T6 UG4 1H4 1A4 11B3GT 1A5 1J3GT /1G3GT/1B3GT 1A7 \1K3GT I1N2 1AC5 \1N2A 1L4 1T4 1T4SF 1AM4 1A5 1AD5 1G5 1T5 1AQ5 /lAU3 1T6 1AS5 I1B3GT 1AM4 1U4 1J5 11G3GT 1K3GT ( 1G3GT/1B3GT 1G4 1S6 1L4 1U4 1T4 J1J3GT 1B3GT 1L4 1B4 1B8 1U5 1U5SF 1AS5 IV 6Z3 J1T4 nu4 1LA4 1LB4 1LA6 1LC6 1LB*4 1LA4 1LC5 1D5 1E4 1W5 1LC6 1LG5 1LA6 1W5 1V5 1X2A ULG5 J1LN5 1C8 1D8 1AC5 1V5 1X2 1C5 1DN5 I1N2 \1N2A 1X2B 2A3 45 2A7 2A7S 2B7S 2B7 1LC5 1E5 1LN5 1LC5 1E8 1M3 1N3 41 12SN7 2C52 12SX7 O m o Q Z < 3 0) C o C u a> 3 J3 _a> I- a JQ c O) a> o a> i- u c I E 0) °- 'i> .5 - > I E ai 11 T < ->3- ^r C\J >- T CM > <NJ N •«J- UJ «3- ^ m -«3- to to to ffi f x: CO a m CD o n m to oo co u^lololololo !*>! -3" •«• ^j- N CO O O O < CQ CO O CO CO UJ 3 CO CO CO CO to IT) to CO CO •< => > co co co o ^ co >- >5 co N CO Q CO CO CO N O CO N CQ CO CO O CO O CO CO to to to CO tsl CO TIT ^s-irj 5" ^ *3- *3- to to to •"d* £^ca!±l CO CO CO Oco N co o CO ^" ^t" CO >- < Cvj < CD =3 LU CO CO fO c-j :±? 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CO CO to to to 3= CO CO to r>. to 13 CD 1 CO CT> in s N to to CO to CO Lu CO to CO CQ to tvj 0 r-» rsj CO to CO <C to to CD ZD in to CO <Z CO to to rvi to to oo 03 CD to Li_ ZD CO LO to to to to se: CO ZD CO to to to to oo CO 1— «s: 3= to to CO co LU CO to to CO to CD <j: ^ 9° oo o CO CO in to to to <t N 00 N OO to CO to to «r ZD oo r- CO CD CO to o 5 CO < to HANDBOOK DATA ELECTRONICS ALLIED'S Directly Interchangeable Tubes—(Continued) Tube Replace Tube Replace Tube Replace Number with Number with Number with 6GH8 6EA8 ,6SD7 6U8A J6SJ7 6SE7 6GS8 15613 6SF7 6H5 6SH7 6J7 5 6A8 6J8 6K4 6K7 6L4 6SJ7 |6K8 6SV7 6V7 6GH8 6R7 6U4 6W4 6AX4 6W7 6S7 (6SG7 6X5GT 0Z4 -? 6SJ7 6X8 6U8 6Z3 IV 6Z5 6Y5 7B4 /6SK7 J6SK7 7A4 ,5693 7H7 7A7 7L7 7AB7 1204 7AF7 7F7 6J7 7AG7 7AH7 6U7 7AH7 7AG7 7AJ7 7H7 7AU7 6AU7 7B4 7A4 7B6 7E6 6AD4 56AB 6K8 N)6SK7 6EA8 6U8A 6SK7 6SL7 /6J8 6F4 6SN7 7C7 (1614 6L6 "j 5881 6L7 1612 7B7 6SQ7 6SR7 6SR7 6SQ7 6ST7 6SZ7 6SU7 6SL7 /6AD5 \6AE5 6P5 6Q7 6R7 /6AF5 J6C5 6SV7 6SF7 V6J5 6SZ7 6ST7 S6B6 /6R7 6T5 \6Q7 J6V7 (6E5 6T8 6SB7Y 6S7 6W7 6U5 6SB7Y 6SA7 6U7 J6SJ7 )6SK7 15693 7B7 1201 7E6 7B6 7E7 7R7 7F7 7AF7 7G7 7V7 7H7 ]7L7 7J7 7B8 6AK8 6U8 J7AL7 (7A7 /7H7 /6AX5 7R7 7E7 J6E5 7S7 5 7B8 )7J7 7T7 hm /6T5 6K7 (7A7 (7V7 /6AX8 / 6SE7 I 7S7 7E5 7C7 7L7 6SA7 6SD7 /6U5 7B8 (6W4 6U4 7AH7 ,717 J6EA8 )6GHB *6U8A 45 (7T7 7V7 J7A7 (7H7 ALLIED'S ELECTRONICS DATA HANDBOOK Directly Interchangeable Tubes—(Continued) Tube Number Replace Tube Replace with Number with 7Z4 7X6 8AU8A 8AW8A 8AU8A 8AW8A 10 12BT6 10Y 10 10Y 12A 71A 12A8 12K8 12AT6 {12AT6 ( 12AV6 12BU6 12BY7 }12BK6 12AU7 12AU6 J12BD6 12CS6 12AU7 12AT7 12CU6 12AV6 12AV7 12AX4GTA 12AX7 12AY7 12AZ7 12B7 12BA6 12BD6 12BE6 12BF6 12AZ7 12D4A 12AY7 12AX7 12AV7 14A7 j 12AU6 12SY7 12SA7 12BF6 14A7 12B7 (12C5 14AF7 14F7 14B6 14E6 14B8 J14S7 / 12BA6 }12W6GT 1644 14E7 14R7 14F7 14AF7 \ 12SJ7 }l4A7 14J7 J14S7 14R7 14E7 14S7 ]l4B8 14W7 / 12SK7 (12SG7 \12SH7 / 12SK7 (12BQ6GTB/12CU6 12SN7 12SQ7 12SX7 12SR7 46 U4B8 U4J7 U2B7 /14A7 17AX4I 17D4 1SC8 19T8 19T8 19C8 (12SG7 \ 12SH7 ( 12SJ7 U2B7 14H7 (12SG7 12SK7 U284 14B6 \ 12SJ7 (12SK7 12AV6 12BT6 U2B7 14E6 1634 (12SH7 12SH7 U4J7 <12EN6 12SY7 12SJ7 (120Q6A 14C7 12A8 12L8 12BU6 12BQ6GT \ 12CU6 \12BQ6GT {12DQ6A 12SA7 12SC7 12CS6 12BU6 12BE6 12J7 j 12AU6 U2EN6 U2L6GT 112DQ7 12K7 12K8 (12BD6 12W6GT <12BV7 12K7 {12AT6 12BK6 12BU6 12J7 12SG7 12SQ7 12SR7 12SN7 / 12R5 12L6GT with 12SR7 12SW7 12SX7 \ 12BA6 {12AT6 12BK6 12BT6 12BU6 Replace 12AV6 12BK6 12C5/12CU5^ 12CU5 12AT7 Tube Number {25B6 25A6 25A7 25C6 25L6 5824 32L7 r a vt u z — < 4) C O u (A o .O o 0) H.Q O 0) 0 0E * •§ i OS "3.°* 5-2 -5 "I CO ^^ ^ m co r- co "* w* co SCM CO SC CO co co COLO corsi rf CO co < C9 o o CO o O 0Q CO LO o to £2 •—• m co co ^2 fO CO cm** «£m n m r«. ,-. g ,_, g r. rS fc h ^ LU -i —I LO en f~ in C9 CO ^ >- co CO o CO LO S"* «—• cm CO en O o to LO 2TIS1 IO *»<•)«• K— ooooHHOitnoim ^~ CO co ^CB< 5 55 lo co sg to O «» odcqowS'G—ir^oog to to co oocy o Zj CD CMCMCMCMCMCMCMCM loioioioiocpcpr^. o Stnto S Iololo BCM S2 CM CM CM CM CM CM CM CM ~H B CM B CM S CM S CM S LO moo oo» z coco co <o Q O (O CO to 1— co «t X r~- LU "> r«. , r- LO CO to co CM io rt r«. r^ > to io to s «> so <B »• s -! < Z CO CO rs 2< r-» s os t-M ON.... 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L n i n t D r - ~ ro C3 * •* rf = S^u2T^t^LUrfStozSSSo'Z^O'SjluQ^<to^cr)CM^LOh-^r<:3 >>-. >n liSsSsto^sSi^ggcig^ enencocococo*3-ooco OOfJ(ONOOrHrH(n ALLIED'S ELECTRONICS DATA HANDBOOK Directly Interchangeable Tubes American to British Tubes American Tube Replace with American Tube Replace with Number British Tube American Tube Replace with Number British Tube Number British Tube 0A2 150C2 0B2 108C1 0D3 150C3 1A3 1A7GT 1AB6 1AC6 UP11 3V4 JDL94 XCF80 6BE7 EQ80 (1D13 4EH7 YF183 6BL8 ]DAS0 ECF80 4EJ7 YF184 6BM8 ECL82 DK32 4ES8 XCC189 6BN5 EL85 IDK96 5AR4 GZ34 5AZ4 GZ30 6BQ5 JN709 5V4G GZ32 6BR5 J65ME }EM80 J1C3 1C2 JDK92 1AD4 DF62 5Z4G R52 1FD1 6AB4 EC92 1AN5 DF97 6AB8 1C5GT DL35 1L4 1M3 DAC32 JDF92 DM71 DF33 UC1 DY87 DL91 UFD9 1S5 JDAF91 1T2 R16 1U4 1X2A 2ER5 3C4 ilF3 }DF91 8D7 6BT4 -(EZ40 (U150 (66KU 6BX6 C6LD12 {DH719 (EABC80 6AK8 6AL3 EY88 6AL5 {6D2 D152 DD6 EAA91 EB91 6AM5 6BY7 6C4 JR19 XC95 UP1 JDL96 EC90 JEZ81 EL34 EM34 17D10 6CH6 ) EL821 6CJ5 <62VP C6F16 (EF41 6CJ6 EL81 6CK5 (67PT <EL41 6AQ5 (N150 6AQ8 6CK6 6AS6 3EJ7 XF184 6AT6 3Q4 DL95 6AU6 3Q5GT DL33 6AV6 UP10 S6F19 6F26 EF85 W719 JUU12 6CD7 6AQ4 XF183 {DL92 VZ152 (Z719 6CA7 DF904 <DY80 (64SPT 1EF80 6CA4 6AM6 3EH7 3S4 JEF95 DY86 1S2A 8D5 6BS7 }X719 JDK91 1S4 1T4 6AK5 5DP61 DM70 1N3 1S2 6AJ8 ]ECH81 JEL84 6BR7 (63TP ]ECL80 HF2 1N5GT 1R5 (EK90 JX727 4r3L8 1AH5 1H5GT 6BE6 EL83 6CM4 EC86 6CM5 EL36 6CN6 EL38 f9D6 6CQ6 6BA6 < EF92 (VP6 50 ^ A L L I E D ' S ELECTRONICS HANDBOOK DATA Directly Interchangeable Tubes-(Continued) American to British Tubes American Tube Number 6CS6 6CT7 6CU7 6CV7 Replace with British Tube American Tube Number Replace with American Tube Replace with British Tube Number British Tube 16A8 PCL82 16AQ3 XY88 7B7 W149 SEAF42 7C6 DH149 J62TH 7DJ8 PCC88 I ECH42 7S7 X148 S6LD3 62DDT DH150 EBC41 7Y4 U149 EH90 ]WD150 8BQ5 XL84 9A8 6CW5 EL86 EM81 6DA6 EF89 9AK8 PABC80 6DC8 S6FD12 9AQ8 PCC85 \ EBF89 6DJ8 ECC88 6DL5 EL95 6DR8 EBF83 6DS8 ECH83 6DX8 ECL84 EF183 6EJ7 EF184 (PCF80 \ 121VP 12AC5 JUF41 12AH8 20D3 12AT6 HBC90 JB329 \ ECC82 12AU7 EF97 6ES8 ECC189 6ET6 EF98 6FG6 EM84 6FY5 EC97 6KG8 ECF86 6J6 ECC91 12C8 VP12D 6L6 EL37 12S7 \ UAF42 6N8 <WD709 IZD152 HBC91 12AV6 {6L13 <B339 12AX7 (ECC83 12BA6 HF93 12BE6 HK90 6U8 ECF82 6V4 EZ80 6X4 EZ90 ('EZ35 6X5G H41TH 14K7 { UCH42 14L7 S10LD3 141DDT DH142 UBC41 15A6 (N153 <N309 (PL83 30P18 15CW5 CN154 {N329 (30L1 7AN7 <(B319 } UCH81 19X3 S19U3 JPY80 19Y3 <{PY82 21A6 (-N152 <N3S9 25E5 PL36 31A3 i311SU JUY41 35W4 HYSO 38A3 JUY85 t10C14 H9SU 45A5 (X142 <U70 \U147 j PY81 19D8 \ WD142 (EBF80 EY86 HCC85 JPY83 \ ECC81 EC95 6S2 JUBF80 17Z3 S B152 12AT7 6ER5 EY81 S 171DDP PCF82 9U8 6ES6 6R3 17EW8 (30C1 < LZ319 •6DA5 6EH7 17C8 16A5 (PCC84 (PL82 51 45B5 (U192 (PL81 S U381 (-451PT {N142 (UL41 \ 10P18 (UL84 50BM8 UCL82 50C5 HL92 807 QV05-25 6267 5 EF86 JZ729 ALLIED'S ELECTRONICS DATA HANDBOOK Directly Interchangeable TV Picture Tubes Tube Number Replace 7NP4 Tube Number Replace Tube Replace with Number with 7WP4* 12UP4 12UP4A 7WP4 7NP4 12VP4 12VP4A 8AP4 8AP4A 14AUP4 14AWP4 8AP4 14AWP4 14AUP4 14BP4 14BP4A 14CP4 14BP4A 8AP4A 10ABP4 wtth 10ABP4A 16GP4C 16GP4 16GP4A 16GP4B 16HP4 16HP4A 16HP4A 16HP4 16JP4 16JP4A 14EP4 16JP4A 16JP4 14CP4 14BP4 14BP4A 14EP4 16KP4 16KP4A 16RP4 16KP4A 16TP4 14EP4 14BP4 14BP4A 16LP4 16LP4A 16ZP4 16LP4A 16LP4 16ZP4 10ABP4B 10ABP4C 10BP4 10BP4A 10FP4* 10BP4A 10FP4A* 10EP4 10CP4 10FP4 10FP4A 10MP4 10MP4A 14CP4 14FP4 14BP4* 14BP4A* 10MP4A 12KP4 12KP4A 12LP4 12LP4A 12LP4A 12QP4 12KP4* 12KP4A* 12LP4 12LP4C 12QP4A 12JP4* 12QP4A 12RP4 14CP4» 14EP4* 10MP4 12RP4 16MP4A 16MP4A 16MP4 16QP4 16XP4 16RP4 16KP4 16KP4A 15CP4 16CP4 16AP4 16AP4A 16AP4A 16AP4 16CP4 15CP4 16DP4 16DP4A 16DP4 16DP4A 16HP4* 16KP4 16HP4A» 16KP4A 16TP4 16RP4A 16RP4 16JP4* 12JP4* 16JP4A* 16MP4* 16SP4 16SP4A 16MP4A* 16SP4A 16SP4 16EP4 16EP4A 16EP4B 16VP4 16YP4* 16WP4 16SP4* 16GP4 16GP4A 16SP4A* 16GP4B 16WP4A* 12QP4 12QP4A 12TP4 , 16MP4 12KP4** 12KP4A** 12RP4* 12VP4* 12VP4A* ♦Remove ion trap. •Connect external connector to chassis 52 HANDBOOK DATA ELECTRONICS ALLIED'S Directly Interchangeable TV Picture Tubes—(Continued) Tube Replace Tube Replace Tube Replace Number with Number with Number with 16WP4A 17CBP4 16SP4 16SP4A 16XP4 17CKP4 17BUP4 19DP4 19DP4A 17BRP4 19DP4A 19DP4 19EP4 19JP4 19FP4 19DP4* 17BZP4 16QP4 17CAP4 16ZP4 16LP4 17CP4 17CP4A 17CP4A 17CP4 19JP4 19EP4 17BP4B 17DJP4 17DCP4* 20CP4 20CP4A 17BP4C 17JP4 17FP4 17FP4A 17FP4A 17FP4 17HP4 17HP4A 16LP4A 17AP4 17ATP4 17BP4A 17ATP4A 17AVP4 17AVP4A 19DP4A* 20CP4C 20DP4 20DP4A* 20CP4A 20CP4B 20CP4C •17HP4B 20DP4A 17AVP4 17AVP4A 17HP4A 17ATP4 17ATP4A 17HP4 20CP4C 17HP4B 20CP4 20CP4A* 20DP4 17BP4 17JP4 17AP4* 17BP4A* 17BP4A 17BP4B 17BP4B* 17BP4C 17BP4C* 17JP4* 17BP4A 17AP4 17LP4 20CP4C 20DP4A* 20DP4 20CP4 20CP4C 20CP4A* 20DP4A* 17LP4A 17VP4 17BP4B 17BP4C 17LP4A 17VP4 17QP4 17UP4 17RP4 17HP4 20FP4 17BP4B 17BP4C 17BRP4 17JP4 17JP4 17HP4A 17CBP4 17BZP4 17BRP4 20HP4 20HP4A* 20LP4* 17UP4 17QP4 17VP4 17LP4 20HP4B 17BRP4 17BZP4 19AFP4 19AUP4 19AP4 19AP4A 19AP4B 21ACP4 21ALP4 19AP4D ♦Remove icn trap. s. 53 21ACP4A 21AMP4 21AMP4A 19AP4C 17CKP4 20HP4A* 20LP4* 17LP4A 17CAP4 17CKP4 •Connect exte nal connector to chass 20JP4 20HP4B 17SP4 17CAP4 20GP4 17KP4 17BZP4 17CAP4 17CKP4 17BUP4 20GP4* 20JP4 17JP4 21ALP4A 21ALP4B 21ATP4A 21BTP4 L L I E D ELECTRONICS DATA HANDBOOK Directly Interchangeable TV Picture Tubes—(Continued) Tube Number Replace 21AMP4 21AMP4A 21ACP4 21ACP4A 21ATP4 21AUP4 21AVP4 with 21ALP4 21ALP4A 21ALP4B 21ATP4A 21ATP4B 21BTP4 21AUP4A 21AVP4 21AVP4A 21AVP4A Replace Tube Number with Tube Number Replace with 21CZP4 21DEP4 24AHP4 24ALP4 21DEP4 21DEP4A 21CZP4 24AJP4 24ATP4 24ALP4 24AHP4 21DKP4 21DKP4A 24ANP4 24DP4 24DP4A 21EP4A 21EP4B 24YP4 24AEP4* 21FP4 21FP4A* 21KP4 21KP4A* 24ZP4* 24AP4 24AP4A 24AP4B 24AP4B 24AP4 21FP4A 21KP4A 21KP4 21KP4A* 21WP4 21WP4A 21YP4 21YP4A 24ADP4 21ZP4 21ZP4A* 24TP4 22AP4 22AP4A 22AP4A 22AP4 24AP4A 21AVP4B 21AUP4 21AUP4A 21AYP4 21BAP4 21XP4 21XP4A 21BNP4 24CP4 21BDP4 21BDP4 21BCP4 21BNP4 21BAP4 24AJP4 24CP4A 24QP4 21CVP4 21BCP4 24ATP4 23CAP4 23TP4 23ANP4 23ATP4 23ATP4 23ANP4 24VP4 24VP4A 24DP4 24DP4A 24ANP4 24YP4 24AEP4* 24ZP4* 21CVP4 21BTP4 21ALP4 21ALP4A 21ALP4B 21ATP4 21ATP4A 21ATP4B 24QP4 24ADP4 24CP4 23KP4 23KP4A 24CP4A 23XP4 23YP4 24TP4 24VP4 23YP4 23XP4 24VP4A 24TP4 24ADP4 21CBP4 21CBP4A 21ZP4 23YP4 24CP4 21CDP4 21CDP4A 24ADP4 24CP4 24CP4A 24QP4 24VP4 21ECP4 21ECP4A 24QP4 24VP4A 21CVP4 21BAP4 24TP4 24VP4 24VP4A 24CP4A 21BNP4 'Connect external connector to chassis. ♦Remove 54 24VP4 24VP4A 24ADP4 Ion Trap. ~\ DATA ELECTRONICS ALLIED'S HANDBOOK Directly Interchangeable TV Picture Tubes (Continued) Tube Replaces Number with Tube Number 24VP4 (cont.) 24CP4 24XP4 24CP4A 24QP4 24ZP4 24ADP4 24CP4 24CP4A 27EP4 24TP4 24VP4 24VP4A 24VP4 24CP4A 24AEP4.* 24ANP4 24DP4 24DP4A 24QP4 24ZP4* 24YP4 24ADP4 24CP4 Replaces Tube Number with 24QP4 24TP4 24VP4A Replaces with 24AEP4 27GP4 27NP4* 27RP4* 27GP4 1 27EP4 27NP4# 27RP4* 27NP4 27RP4 27RP4 27NP4 27SP4 27UP4 27UP4 27SP4 ♦Remove ion trap. 'Connect external connector to chassis Greek Alphabet Designations Name Capital Commonly used to designate Lower Case Alpha A Beta B fi Gamma r 7 a Delta A a Epsilon E c Angles. Area. Coefficients Angles. Flux density. Coefficients Conductivity. Specific gravity Variation. Density Base of natural logarithms Zeta z r Eta H V Theta e e Impedance. Coefficients. Coordinates Hysteresis coefficient. Efficiency Temperature. Phase angle Iota i i Unit vector. Kappa K K Lambda A X Dielectric constant. Susceptibility Wave length Mu M M Micro. Amplification factor. Permeability Nu Xi N V Reluctivity H o s T Pi n Rho p P Sigma s ff Tau T T Upsilon T Phi * Chi X X Psi * * Omega $2 CO *P Co-ordinates 3.1416 (Ratio of circumference to diameter) Resistivity Sign of summation Time constant. Time phase displacement Magnetic flux. Angles Electric susceptibility. Angles Dielectric flux. Phase difference Capital, ohms. Lower case, angular velocity 55 ALLIED'S ELECTRONICS DATA HANDBOOK Pilot Lamp Data Maximum Size Bulb Silhouette No. m ° \SJ c rW, Tvn) ' T Nt=kr C Bulb (See Chart Below) B-3'/i m* S.C. Flange (Miniature) W w %• Q-3'/i 2-Pin (Miniature) i_W_i r|T Base %' %' W T-3V4 Screw (Miniature) Bulb Lamp Type Numbers Small Round Small Round Tubular PR2 PR3 PR4 PR6 PR12 12 40 41 42 46 48 1892 KA-»j Bayonet jjgT %' %' w %' W «•' %' B w 1%' %' %' W %' W W %• T-3V4 Q-3Vi Q-3% G-4'/4 Q-5 TL-3 (Miniature) Tubular Screw (Miniature) Small Round Bayonet (Miniature) Small Round 56 50 Bayonet Large (Miniature) Round 55 57 Bayonet (Miniature) Large 1458 Round Screw (Miniature) L 43 44 45 47 49 1490 1891 Pinched Round 112 222 ELECTRONICS ALLIED'S HANDBOOK DATA Pilot Lamp Data (Cont'd) Rating Lamp Bead Base Bulb No. Color (Miniature) Type Volts Amps. B-3'/, B-3'/j B-3'/2 B-3'/i B-3'/2 2.4 3.6 2.3 2.5 5.95 6.3 6-8 2.5 0.50 Flashlights 0.50 Flashlights Flashlights PR-2 Blue PR-3 Green Yellow Flange Flange Flange Brown Flange PR-4 PR-6 PR-12 12 Flange White 40 41 Brown White Screw 42 43 44 45 Green White Blue Screw 46* 47 48 49 50 51* 55 57 G-3'/2 T-3V4 T-3'/4 2-Pin Screw T-3'/4 T-3'/4 Bayonet Bayonet Bayonet • Blue Brown Screw Pink Pink Screw White Screw White White White Pink Bayonet T-3'/4 T-3'/4 T-3'/4 Bayonet T-3'/4 T-3'/4 Bayonet G-3'/2 G-3'/2 G-4'/, G-4'/2 Bayonet Bayonet Screw Screw Auto-Radio Dials; Parking Lights 0.25 0.15 Dials Dials 0.23 Auto Radio Dials 0.12 Auto Panel Lights Pink Bayonet T-3V4 T-3Vj White Screw T-3'/j 14 Bayonet Dials and Tuning Meters Dials and Tuning Meters 0.4 0.24 0.22 0.25 White Bayonet 1458 Dials Dials Dials * 6-8 14 1892 TL-3 G-5 Dials 0.5 0.25 1490 1891 White TL-3 Flashlights Flashlights 0.50 0.15 0.15 0.5 2.5 6-8 3.2 6-8 6-9 2.0 2.0 6-8 6-8 1.1 2.2 20.0 3.2 14 112 222 0.27 0.30 3.2 T-3'/4 Used For | Dials Dials and Tuning Meters 0.25 Dials 0.15 0.06 Battery Set Battery Set Auto-Radio Auto-Radio 0.06 0.2 0.2 Dials Dials Dials; Flashlights Dials; Panel Boards Auto Radio Dials Flashlights Flashlights; Soldering Guns •White in G.E. and Syivania; Green in National Union Raytheon and Tung-Sol. {0.35 in G.E. and Syivania; 0.5 in National Union Raytheon and Tung-Sol. •Have frosted bulb. Neon Glow Lamps High Brightness Nominal Current in Ma. Hours of Maximum Lamp Average Overall Number Useful Life* Length NE-2H NE-2J 25,000 Va' 2* Wire Term. 1.7 S.C. Mid. Flange 1.7 w 1" Wire Term. 1.7 1.2 NE-2P NE-51H 25,000 25,000 25,000 Base Min. Bay. Circuit Nominal Volts, Watts AC or DC 110-125 V. 110-125 110-125 110-125 110-125 1/5 1/5 '1/5 1/7 Standard Brightness NE-2 NE-2D NE-2E NE-2M NE-7 NE-17 NE-21 NE-30 NE-34 NE-42 NE-45 NE-48 NE-51 NE-56 NE-57 25,000 25,000 25,000 25,000 7,500 7,500 7,500 110-125 1/17 110-125 110-125 1' Wire Term. 0.5 0.6 0.6 0.5 V/t' Wire Term. 2.0 110-125 110-125 110-125 110-125 110-125 110-125 110-125 110-125 110-125 220-250 110-125 220-250 110-125 1/15 1/15 1/17 V4 Va Va \W 1' Wire Term. Va' %• V/a' 2' Wire Term. %* ifv Wi' 2Va' S.C. Mid. Flange D.C. Bay S.C. Bay 2.0 2.0 12.0 10,000 10,000 3V§* Med. Screw 18.0 10,000 3'%" D.C. Bay 30.0 2.0 2.0 0.3 7,500 Med. Screw 1%' Cand. Screw 7,500 \w 15,000 m' D.C. Bay Min. Bay 10,000 7,500 2Va' Med. Screw NE-58 7,500 NE-7 9 10,000 1%' Cand. Screw 1%' Cand. Screw 2' D.C. Bay 5.0 2.0 2.0 12.0 110-125 1 2 3 Y* Va 1/25 1 Va V* 1 Argon Glow Lamps AR-l AR-3 AR-4 AR-9 1,000 150 150 50 VA' 1%' 114s 11V Med. Screw Cand. Screw D.C. Bay 1' Wire Term. •On A.C. unless otherwise noted. D-C life is approximately 60% of A-C values. 57 18.0 3.5 3.5 0.3 110-125 110-125 110-125 110-125 2 Va Va 1/25 ALLIED'S ELECTRONICS DATA HANDBOOK Interchangeable Batteries Ray-OBurgess 1 10308* 120 17GD60 2 2F 2F4 2F4L 2D 2FBP Evereody 935-635 W363F 835 Neda 14 716 759 950 m W353 718 747 720 W354 n l 16 18 700 2N6 2R 2TXX40 2U6 20F 246 950 W370 216 740 20F2 21R 210 21308* 2156 X125 964 1050 W365F 766T 220 230 2308* 2370ST 2370PI 850 A100 W364F 761T 771 4D4 4F 4FH 4FL 4F2H 274 742 735 1602 13 412 1604 719 720 20 7i5 702 Vac Ray-O- 1LP VS035 5930C 110LP AB82 2LP VS127 8FL 8R 9R VS022 VS036 192PX 698P 698PL 122P 192S VS141 VS010 VS011 VS069 VS101 1602 2LP VS305 VS036 1604 P9203 VS312 VS024 P9403 8R 3LP 5830C 2215C VS025 VS236 VS157 VS137 210LP i3" 723 712 718 5230C 423S P231W VS336 VS126 VS130 VS030 W357 1400 4 900 12 901 194S P94L 398C 4F4H 4F6H 4F6H 4GA42 4SD60 706 715 716 W366 758 902 903 904 407 414 902 903 904 AB944 AB85 VS103 VS139 4TZ60 4166 422 432 6156SC 729 763 750 751 778 425 710 704 705 708 AB333 2415S 342 443 2515C VS064 VS102 VS134 VS142 VS131 5166PI 6308 532 5360 5540 768 W376 703 721 709 706 714 713 2515P 5530S 453 531R 755S VS031 VS112 VS133 6F 743 196P 6 Ign.-S VSC07 VS0065 6RR 6 Tel.-C AB64 VS042C VS054 400 198P 781 773 Burgess RCA 6 Ign. 6 Ign. 6lnd. 6 Tel. 6TA60 6 Ind. 6GL W369 5 905 911 906 410 7 8F 912 741 24 17 ♦Available with plug-in terminal also. i94P VS004 VS106 VS005 VS138 Vac RCA 21 23 920 10338 A30 B3RT B5 B30 C5 W359 702 713 484 717 206 P430 VS014 8" P551 P5303 P751 VS129 VS012 VS065 D3 D5 D6 F2BP F2RT 726 707 276 W352 704 423PX 26 VS072 VS315 VS306 VS100 F3 F4A50 F4BP F4H F4PI 736 W368 510S 409 744 3 411 915 908 F4SC F6A60P 6FA60P G3 G5A42 510F 753 757 746 W367 917 401 406 7 408 G6B60 G6M60 H133 H233 752 754 E133 E233 El 400 402 1304 1300 1100 1103 1101 K10 E9 E12 E400 E401 417 K15 K20 K45 M30 420 430 457 482 Hg-9 Hg-12R Hg-400R Hg-401 VS021 Neda 745 960P 1015E 815 799 Hg-IR VS140 VS053 Eveready N 710LP 207 9 19 26 1603 701 6 1603 392S P93A AB327 941SC 941 P694A 941C AB994 AB909 P83A AB-794 AB-9'95 AB-878 VS067 VS040S VS040C VSC09 VS019 VS058 VS002 VS038 VS047 VS018 VS149 VS400 VS143 15M VS313 VS144 VS145 VS401 202 910 NSW45 P7830 716 VS082 VS013 VS073 204 1600 211P 211M 214 4390 1600 NW45 946 214 VS090 VS300 VS218 VS216-15 VS219 641 AB326 7CD5P AB775 431 VS039 VS119 1106 1102 224 225 226 203 477 S461 S6D60 T5 T5Z50 T5Z50P 1461 776 W360 755 785 907 415 10 403 T6Z60 T6Z6QP U10 U1S 756 756P 411 412 405 428 208 215 479 VS008 VS070 41 N60 P6 P45 P45M POO 490 226 igip VS028 VS029 58 431 AB601 510P 215 VS050 VS060 VS057W VS059 VS083 VS084 > ALLIED' S ELECTRONICS DATA HANDBOOK Interchangeable Batteries—(Continued) Ray-O- Ray-OBurgess Eveready U16PF U20 U200 U30 W2QPI 412 413 493 W30PI XX9 XX15 XX22 XX30 733 239 425P 433P 455 XX30PI 415 Neda 210 722 213 1900 201 Vac 915 520P 5200 530CUH 99917 N30P 1900 PN15 PN22 930 Burgess RCA VS085 VS093 VS086 VS304 VS055 PN30F 455P Eveready Neda 200 212 227 RCA Vac 4367 4375 69N 10P 515P VS016 VS217 XX45 XX50 XX69 Y10 Y15 467 437 W361 504 505 Y20 Y20S Z Z4 Z30 506 507 915 is 724 2 7R 67R4 738 205 57R30P VS034 VS068 VS015 Z30NX W350 711 57R30S VS114 20P Interchangeable Mercury Transistor Radio Batteries Burgess Eveready Matlory RCA P9 VS-313 TR-133 P133 VS-149 E146 TR-146 P146 VS-312 E164 TR-164 E9 ZM-9 E9N DM-9N H133 E133 H146 H164 HG9 Philce Zenith Z9 Z146 VS-164 , TR-175 VS-309A H177 E177 TR-177 H233 E233 TR-233 E42 RM-42 HQ401 E401 RM-401 HQ630 E630 RM-630 P630 VS-147 HQ640 E640 RM-640 P640 VS-150 2U6 216 M-1604 P696 VS-400 VS-401 VS-312 59 216 ALLIED'S ELECTRONICS DATA HANDBOOK Resistor Color Code EIA STANDARD RS-172 _g ®<£>® lh MILITARY STANDARD MIL-R-11C A B C —\ (*>(§>€•.— 0 —MQB ® H— i:^:^S^^:^ 1st Digit 2nd Digit Multiplier Tolerance A B C D 0 1 2 3 0 1 2 3 4 5 6 7 8 9 Color Black Brown Red Orango Yellow Green 4 S 6 7 8 Blue Violet Gray White Gold Silver No Color 9 — — — — 1 10 100 _. 1,000 10,000 100,000 1,000,000 — — — 10,000,000 100,000,000 — — — — ± 5% ±10% 0.1 0.01* ±20% •EIA ONLY. — — — — — MILITARY (MIL): Same as EIA with the INSULATION CODING EIA: Insulated resistors with axial leads addition of: Noninsulated resistors with ra are designated by a background of any color dial leads designated by a black background except black. The usual color is natural tan. color or by a background the same color as Noninsulated resistors with axial leads are the first significant figure of the resistance designated by a black background color. value. MAC* HUMS Mica Capacitor Color Code MILITARY STANDARD MIL-C-5B Digits of Capacitance (utf) Tolerance Multiplier Color Black Brown Red Orange Yellow Green Blue Violet Gray White Gold Silver A B C 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 S 6 1 10 100 — — Temperature Coefficient Maximum million per °C) Capacitance Drift (•porta per 7600 *0.5% 7500 D •MOO * (0.05% +0.1 «if) — — — — — — ± 5 ±10 Maximum Inchet Long (megohms) Not specified +70 — — Minimum Insulation Resistance *200 +100 -20 — — — — VOLTAGE RATING Not specified F F — — (Indicated by dimensions rather than color coding) B E — — 0.1 0.01 C *0.3% -(0.1% +0.1 wrf) 2 — — DESCRIPTION OF CHARACTERSDC Charac teristic B C D E — ± — 8 9 — ±20 1,000 7 _ & Characteristic. See table below £ 7600 7500 7500 Thick CM Capacitance imtf) 5-510 Style "4a »/6 '/* 15 »4 »4j T/6 20 V4t *% »% »% '/* % »% H* "A 35 «Wk »« 40 VA 60 Wide Rating (od-c) 300 6-510 560-1000 500 300 25 51-1000 500 80 560-3300 500 3600-6200 500 300 6800-10,000 3300-8200 9100-10,000 500 300 N, HANDBOOK DATA ELECTRONICS ALLIED'S Mica Capacitor Color Code EIA STANDARD RS-153 WHITE MEANS A MICA Digits of Capacitance (mmO Multiplier Color B C Black Brown Red 0 0 0 1 1 10 2 100 Orange 3 4 5 6 3 4 10,000 1 Yellow Green Blue Violet 2 3 4 5 6 7 7 8 Gray — — — — — D E — 5 — — — — — — — — 9 A B C 2 3 ± — 8 — ± 20 ± 1 ± ± 1,000 5 6 7 8 9 9 White Gold Silver See table below F A 1 2 Characteristic— Tolerance % D — — — — 0.1 — — — ± 10 0.01 — •or ± 1 mm', whichever Is greater. VOLTAGE RATING DESCRIPTION OF CHARACTERISTIC Charac Temperature Coefficient Maximum Capacitance (parts per teristic Drift million per °C) (Indicated by dimensions rather than color codinK) Maximum Inches Minimum Insulation (megohms) A *1000 *(5% +l«-f) 3000 B *500 *(3%+1mm0 6000 C *200 *(0.5% +0.5M/-0 6000 D *100 6000 E + 100 -20 *(0.3% +0.1 wO *(0.1% +0.1 wif) Long Wide Thick "4 "-{, % 20 "A J6 25 ».<* % 30 m u* *% 6000 Uti Rating Capacitance (f»f) Style Resistance (vd-c) 560-1000 500 300 5-1000 1100-1500 500 300 470-6200 Over 6200 500 300 3300-6200 500 300 5-510 *% H 35 "4 "/6 40 Over 6200 100-2400 2700-7500 1000 Over 7500 300 500 Mica Capacitor Color Code Obsolete Style BLANK f®®ov ©@® (FRONT VIEW) ®(§)®(D (BACK VIEW) Voltage Rating Digits of Capacitance (/imO Dot Color Black Brown C Multiplier Tolerance % D E A B 0 0 0 1 1 1 1 10 ±20 ± 1 ± 2 ± 3 (vd-c) F — 100 200 Red 2 2 Orange 3 3 3 1,000 Yellow Green Blue 4 4 4 10,000 ± 4 5 6 5 5 100,000 ± 5 500 6 6 1,000,000 ± 6 600 7 8 7 7 10,000,000 ± ± ± ± 7 8 9 5 700 Violet Gray White Gold Silver No Color 8 9 9 — — — — 100 2 8 100,000,000 9 1,000,000,000 0.1 0.01 — — — 61 300 400 800 900 ±10 1,000 2,000 ±20 500 A L L I E D ' S ELECTRONICS DATA HANDBOOK Ceramic Capacitor Color Code EIA STANDARD RS-198 MILITARY STANDARD JAN-C-20A Proposed MH-C-20C A> 3-Dot Disc Capacitors (RETMA ONLY) (Voltage rating It always 500 v., tolerance is always —0.) 4F 5-Dot Disc Capacitors (EIA ONLY) (Voltage rating is always 500 v.) 3-Dof Button Capacitors (EIA ONLY) # ^ W3? Feed Through Capacitors (EIA ONLY) B High Capacity Tubular* (Insulated or Non-Insulated) C A 4. & • I I 11 t t E F EB Color Orange Yellow Green Blue Violet Gray B C D 0 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8 D TT •TTTTTTm 7 8 Stand-Off Capacitors (EIA ONLY) Tubular Capacitors (Old RMA) Digits of Capacitance Wf) 1 Tubulars -C Tubular Capacitors (Voltage rating Is always 500 v.) Black Brown Red Temperature Compensating Tolerance F Multiplier 10/tpf or Over 10 E less (jtftf) MMf (%) 1 10 100 ±2.0 ±0.1* — — — — ±0.5 — — — — 0.01 ±2 ±2.5* — 1,000 10,000* ±20* ±1 ±5 — — ±0.25 — Temp. Coef. A (Parts per million per °C.) EIA MILITARY 0 — 33 — 75 —150 —220 —330 —470 —750 0 — 30 r- 80 —150 —220 —330 —470 —750 +150 to + 30 —1500 White 9 9 9 0.1 ± 1.0 ±10 +100 to +330* —750 +100 Gold * EIA only 62 > ELECTRONICS ALLIED'S HANDBOOK DATA Paper Capacitor Color Code MILITARY STANDARD MIL-C-91A (Commercial codes are same except as noted) Tubular Capacitors F Digits of Capacitance (/n/t*f) Color Black Brown Red Orange Yellow Green Blue Violet s Gray White Gold Silver A B 0 1 2 3 4 5 6 7 8 9 0 0 C Rectangular Capacitors (Commercial Only) Tubular Temp. Rating °Cand Characteristic F Multiplier % Voltage Rating (v d-c) C D E Tolerance 1 10 100 ± 1,000 10,000 ± 1 2 3 4 5 6 7 8 9 20 — 30 — — — — — — — — — — — — — — — — — — ± 85-A 85-E — 100 200 300 400 — — — — 500 — 600 700 800 — — — 900 — 1,000 10 — — — TYPOGRAPHICALLY MARKED VOLTAGE RATING FOR RECTANGULAR CAPACITORS TUBULAR CERAMICS (Indicated by dimensions rather than colorcoding) Maximum Dimensions (inches) Style Length Width Thick Voltage CN Capacitance GW) 1000 400 20 2000-6000 200 120 22' 2000-3000 6000-10.000 800 600 30 1000-2000 3000 6000-10.000 20,000 120 TEMPERATURE COEFFICIENT (vd-c) ness CAPACITANCE (MMF.) SK *Kt *% "4 *K H*i 'A »* %6 10,000 20,000 TOLERANCE 400 300 120 400 TOLERASCE JAN 3000 *K IX 1H6 s*6 "^ 35 4Ki »/6 41 **A •*6 42 6000-10,000 20,000 *K '% 10 ntf or Less 600 10,000 20,000 30,000 400 C ± 0.25 mm/ 120 D ± 0.5 niif 1000-6000 1000 600 400 300 120 F ± 1.0 ittif G ± 2.0 imf 10,000-20,000 30,000 50.000 Over 10 vwf 300 20,000-30,000 50,000-100,000 1000 600 400 - 200,000 120 10.000 l»/6 LETTER 3000-6000 100,000 43 800 600 300 J 63 <fc. 1% ± 2% ±. 5% K ± 10% M ±20% A L L I E D ' S ELECTRONICS DATA HANDBOOK EIA Color Codes The color codes on the preceding and two following pages are used by most radio and instrument manufacturers in the wiring of their products, and by parts manufacturers for identifying lead placement or resistor and capacitor values, ratings, and tolerances. These have been included for whatever help they may provide in identifying parts and PRIMARY NOT TAPPED leads when trouble-shooting. Since all manu facturers do not use these codes, however, due caution must be observed to determine whether or not the set, instrument, or part under ex amination does or does not follow the code colors given here. A quick check with a volt meter, ohmmeter, or continuity meter is usu ally all that is needed to establish this fact. PRIMARY TAPPED HIGH VOLTAGE BLACK BLACK (COMMON) YELLOW BLACK - YELLOW RECTIFIER FILAMENT YELLOW- BLUE YELLOW BLACK BLACK-RED GREEN GREEN-YELLOW AMPLIFIER y FILAMENT NO. I GREEN Power Transformer BROWN BROWN-YELLOW RED AMPLIFIER ^ A + FILAMENT NO. 2 BROWN BLACK A - SLATE io o BLUE YELLOW Bt o SLATE-YELLOW B - C + Battery Cable ORANGE C INTERMEDIATE GREEN C - 64 FILAMENT NO. 3 SLATE WHITE B + INTERMEDIATE BROWN AMPLIFIER !• ALLIED'S ELECTRONICS DATA EIA Color Codes—(Continued) c o u 0) c c o U 51 "O o o 0) a o a. 65 HANDBOOK ROWN Speaker Lead Color Codes—(Continued) OUTPUT TRANSFORMER BLUE OR BROWN § OUTPUT . TRANSFORMER fe FIELD COILS BLACK & EX RED SLATE ft VOICE COIL BLACK HIGH-RES. FIELD B YELLOW a a GREEN m m) t V OREEN RED BLACK a YELLOW LOW-RES. FIELD REO RED YELLOW a REO Audio & Output Transformers l-F Transformers GRID OR DIODE GREEN-8LACK black GRI PLATE •HIGH MOVI -*- RET -*- LOW MOVI FULL WAVE DIODE • GRID OR OIODE RETURN,AVC, OR GROUND pi,..,.,-* , BLUE OR BROWN "-**'=• GREEN OR YELLOW (START) (START) * FOUND ONLY ON PUSH-PULL PRIMARY OR SECONDARY W ALLI ED'S ELECTRONICS DATA HANDBOOK Abbreviations and Letter Symbols * Many of the abbreviations given are in lower-case letters. Obviously, however, there will be occasions such as when the abbreviations are used in titles where the original word would havebeencapitalized. In thesecases, the abbreviation shouldbe similarly capitalized. A two-word adjective expression should contain a hyphen. Abbrevi Admittance Y Alternating-current (adjective) — Alternating current (noun) a-c Ampere a Angular velocity (2n/) Tenn ation Term a.c. 03 Abbrevir ation Low-frequency (adjective) Low frequency (noun) Magnetic field intensity Megacycle Megohm 1-f I.f. H Mc Mn Antenna ant. Meter m Audio-frequency (adjective) Audio frequency (noun) a-f Automatic volume control a.v.c. Automatic volume expansion Capacitance Capacitive reactance a.v.e. Microampere Microfarad (mfd) Microhenry Micromicrofarad (mmfd) pa. fit /xh jujuf C Microvolt /*v Xc Microvolt per meter juv/m cm Microwatt juw c.w. Milliampere Millihenry ma mh I,i Millivolt mv Millivolt per meter mv/m Milliwatt Modulated continuous waves mw m.c.w. M Centimeter Conductance Continuous waves— Current a.f. G Cycles per second Decibel db Direct-current (adjective) Direct current (noun) d-c d.c. Mutual inductance Double cotton covered d.c.c. Ohm tt Double pole, double throw Double pole, single throw d.p.d.t. d.p.s.t. Power P Power factor p.f. Double silk covered d.s.c. Electric field intensity E Radio-frequency (adjective) Radio frequency (noun) r-f r.f. Reactance Resistance X R Revolutions per minute Root mean square r.p.m. r.m.s. Electromotive force e.m.f. Frequency / Frequency modulation f.m. Ground. gnd. Henry h Self-inductance L High-frequency (adjective) High frequency (noun) Impedance h-f Short wave s.w. s.c.c. s.c.e. s.p.d.t. s.p.s.t. s.s.c. t.r.f. u.h.f. v.t.v.m Interrupted continuous waves Kilocycle Lew. Single cotton covered Single cotton enamel Single pole, double throw Single pole, single throw Single silk covered Tuned radio frequency Ultra high frequency kc Vacuum tube voltmeter Kilohm ktt Volt v Kilovolt kv Voltage E, * Kilovolt ampere kVa Volt-Ohm-Milliammeter v.o.m. Kilowatt kw Watt w h.f. Z Inductance Inductive reactance XL Intermediate-frequency (adjective) Intermediate frequency (noun) i.f. L i-f * See Page 23 for Transistor Symbols. 67 ALLIED'S ELECTRONICS DATA HANDBOOK Schematic Symbols Used in Radio Diagrams (AERIAL) —npp^\— CHOKE COIL -^r GROUND E im ANTENNA © (LOOP) WIRING O° O IRON CORE ANTENNA y ° SWITCH ° (ROTARY OR O SELECTOR) R.F. CRYSTAL DETECTOR TRANSFORMER (AIR CORE) A.F. LIGHTNING ARRESTER TRANSFORMER (IRON CORE) POWER TRANSFORMER METHOD I CONNECTION P.118 VOLT FUSE MUMMY •|-CENTER •TAPPED NO SECONDARY FOR FILAMENTS of SIGNAL CIRCUIT TUBES CONNECTION St-SECONDARY FOR -S3 «8- CENTER -TAPPED CONNECTION i 1 T ±L TERMINAL CELL OR MULTI-CELL OR "B" BATTERY LOUDSPEAKER, P.M. DYNAMIC FIXED RESISTOR ADJUSTABLE OR VARIABLE \* ZSp. CAPACITOR CAPACITORS (sansed) IF. TRANSFORMER (DOUBLE-TUNED) —*vw POTENTIOMETER (VOLUME •nAM/vVW- CONTROL) TAPPED RESISTOR OR VOLTAGE DIVIDER POWER SWITCH S. P. S.T. tS*o- SW|TCH t °" S.P.D.T. —vVW J —'TfoT*— * 0= \* ADJUSTABLE Za£ OR VARIABLE Z\L-~f\ HEADPHONES (MICA OR PAPER) CAPACITOR # <ft FIXED CAPACITOR (ELECTROLYTIC) "A" BATTERY -* KtaN.VOLTASE SECONDARY NO CONNECTION ONE * PILOT LAMP RECTtFOR TUBE FILAMENT WIRING METHOD 2 -+- •& SWITCH RHEOSTAT D.P.S.T. AIR CORE CHOKE COIL SWITCH D.P.O.T. 68 w &~ LOUDSPEAKER, ELECTRODYNAMB PHONO PICK-UP VACUUM TUBE HEATER OR FILAMENT VACUUM TUBE CATHODE /--—__ VACUUM TUBE KJ GRID * VACUUM TUBE /^S\ —(7—.) \A/~ PLATE 3-ELEMENT VACUUM TUBE (TRIODC) QQ ALIGNING KEY OCTAL BASE TUBE ELECTRONICS ALLIED'S DATA HANDBOOK Schematic Symbols Used in Radio Diagrams SLIDE SWITCH <$ © MULTI- FILAMENT LAMPS NEON LAMPS CONTACT SWITCH CD CEt Dm: tmx PHONE a |_ PLUG PHONO PLUG Br INTER GENERAL CONNECTING METER MICROPHONE PLUG Male INTER CAPACITOR MICROPHONE fl DYNAMIC MICROPHONE Female VARIABLE CORE INDUCTOR j CONNECTING PLUG METER UNE PLUG tn PIEZOELECTRIC CRYSTAL FREQUENCY CRYSTAL MICROPHONE tf PHONE DETERMINING VARIABLE CORE INDUCTOR JACK PIEZOELECTRIC CRYSTAL FREQUENCY rs. DETERMINING PHONE JACK AIR O o CORE INDUCTOR t PHONO CARTRIDGE PIEZOELECTRIC <JfL PHONE JACK N_L PIEZOELECTRIC CRYSTAL MONAURAL CRYSTAL STEREO PHONO CARTRIDGE IRON CORE INDUCTOR -£ RECTIFIER OR DIODE PHONO JACK SHIELDED T pair 4=- SHIELD O O •" o!!! SI POWDEREDIRON CORE INDUCTOR -©--©- ZENER DIODE DOUBLE ANODE SHIELDED "-£•— WIRE ~ SILICON SHIELD I 1 I i RELAYS SHIELDED =e a CONTROLLED RECTIFIER Collector ASSEMBLY PNP TYPE * —-£.-- w^- TRANSISTOR COMMON ^"^ Emitter GROUND ~^w- *€T • WIRES SHIELDED ' BETWEEN TWO POINTS 69 NPN TYPE TRANSISTOR ALLIED'S ELECTRONICS DATA HANDBOOK Common Logarithms N 0 1 2 3 4 10 0000 0043 0086 0128 11 12 13 14 0414 0453 0828 1173 1492 0492 0864 1206 1623 0631 0792 1139 1461 0899 1239 1563 N 5 6 7 8 0170 0212 0263 0294 0334 0374 10 0669 0934 1271 1684 0607 0969 0646 1004 1336 1644 0682 1038 1367 1673 0719 1072 1399 1703 0766 1106 1430 1732 ii 12 13 14 1303 1614 9 15 1761 1790 1818 1847 1876 1903 1931 1969 1987 2014 15 16 17 18 19 2041 2304 2553 2788 2068 2330 2677 2810 2096 2365 2601 2833 2122 2380 2626 2866 2148 2406 2648 2878 2176 2430 2672 2900 2201 2466 2695 2923 2227 2480 2718 2945 2263 2504 2742 2967 2279 2629 2766 2989 16 17 18 19 20 3010 3032 3064 3076 3096 3118 3139 3160 3181 3201 20 21 22 23 24 3222 3424 3617 3802 3243 3444 3636 3820 3263 3464 3665 3838 3284 3483 3674 3866 3304 3502 3692 3874 3324 3522 3711 3892 3346 3641 3729 3909 3366 3660 3747 3927 3386 3679 3766 3946 3404 3698 3784 3962 21 22 23 24 25 3079 3997 4014 4031 4048 4066 4082 4099 4116 4133 25 26 27 28 29 4160 4314 4472 4624 4166 4330 4487 4639 4183 4346 4602 4654 4200 4362 4618 4669 4216 4378 4633 4683 4232 4249 4409 4281 4664 4266 4426 4679 4713 4728 4298 4466 4609 4767 26 27 28 29 30 4771 4786 4800 4814 4829 4843 4867 4871 4886 4900 30 31 32 33 34 4914 6051 5185 6316 4928 4942 6079 6211 6340 4966 6092 5224 4969 4983 5119 6363 6105 6237 6366 4997 5132 6260 6378 5263 6391 6011 5146 6276 6403 6024 6169 6289 5416 6038 6172 5302 5428 31 32 33 34 6066 6198 6328 4393 4648 4698 4440 4694 4742 35 5441 5463 5466 6478 6490 6602 6614 5527 5639 6561 36 36 37 38 39 6663 6676 6694 5809 6922 6687 6706 6821 6933 6699 6717 6832 6944 6611 6729 5843 6966 6623 6647 6763 6877 6988 5658 6776 6888 5999 6670 6740 6866 6966 6636 6762 5866 6977 6899 6010 36 37 38 39 6682 6798 6911 6786 40 6021 6031 6042 6063 6064 6076 6086 6096 6107 6117 40 41 42 43 44 6128 6138 6243 6346 6444 6149 6263 6365 6160 6464 6464 6474 6180 6284 6386 6484 6191 6294 6395 6493 6201 6304 6406 6603 6212 6366 6170 6274 6376 6613 6222 6326 6425 6522 41 42 43 44 6232 6335 6436 6263 6314 6416 46 6632 6642 6661 6661 6671 6680 6690 6699 6609 6618 45 46 47 48 49 6628 6721 6812 6902 6637 6730 6821 6911 6646 6739 6830 6920 6656 6749 6839 6928 6666 6768 6848 6937 6676 6767 6867 6946 6684 6776 6866 6965 6693 6786 6876 6964 6702 6884 6972 6712 6803 6893 6981 46 47 48 49 50 6990 6998 7007 7016 7024 7033 7042 7060 7069 7067 50 51 52 53 54 7076 7160 7243 7324 7084 7168 7261 7332 7093 7177 7269 7340 7101 7186 7267 7348 7110 7193 7276 7366 7118 7202 7284 7364 7126 7210 7292 7372 7136 7218 7300 7380 7143 7226 7308 7388 7162 7235 7316 7396 51 52 63 54 N 0 1 2 3 4 5 6 7 8 9 N 70 6794 > ELECTRONICS ALLIED'S HANDBOOK DATA Common Logarithms (Continued) N 0 1 2 3 4 5 6 7 8 9 N 55 7404 7412 7419 7427 7436 7443 7461 7469 7466 7474 55 56 57 58 59 7482 7669 7634 7709 7490 7666 7642 7716 7497 7674 7649 7723 7606 7582 7667 7731 7613 7689 7664 7738 7620 7697 7672 7746 7628 7604 7679 7762 7636 7612 7686 7760 7643 7619 7694 7767 7661 7627 7701 7774 56 57 58 59 60 7782 7789 7796 7803 7810 7818 7826 7832 7839 7846 60 61 62 63 64 7858 7924 7993 8062 7860 7931 8000 8069 7868 7876 7946 8014 8082 7882 7962 8021 8089 7889 7969 8028 8096 7896 7938 8007 8075 8036 8102 7903 7973 8041 8109 7910 7980 8048 8116 7917 7987 8056 8122 61 62 63 64 65 8129 8136 8142 8149 8156 8162 8169 8176 8182 8189 65 8241 8248 8306 66 67 8344 8407 8361 8414 8367 8420 8363 8426 8370 8432 8312 8376 8439 8264 8319 8382 8446 68 8470 8476 8482 8488 8494 8600 8506 70 8649 8609 8669 8727 8565 8615 8676 8733 8661 71 72 73 74 66 67 68 69 8195 8261 8326 8388 8202 8267 8331 8396 8209 8274 8338 8401 70 8461 8467 8463 8216 8280 8222 8287 8228 8293 7966 8236 8299 69 8633 8692 8619 8679 8639 8698 8525 8686 8646 8704 8631 8691 8661 87 lO 8637 8697 8667 8716 8643 8603 8663 8722 8739 8667 8627 8686 8746 8761 8766 8762 8768 8774 8779 8785 8791 8797 8802 75 8842 8899 8954 8848 8864 9009 8904 8960 9016 8910 8965 9020 8869 8916 8971 9025 76 77 78 79 71 72 73 74 8613 8673 75 8621 8681 8820 8876 8932 8987 8826 8882 8938 8993 8831 8887 8943 8976 8814 8871 8927 8982 8998 8837 8893 8949 9004 9031 9036 9042 9047 9053 9058 9063 9069 9074 9079 80 9117 9170 9222 9274 9122 9258 9106 9169 9212 9263 9112 9166 9217 9269 9176 9227 9279 9128 9180 9232 9284 9133 9186 9238 9289 81 82 83 84 9309 9316 9320 9326 9330 9335 9340 85 9380 9430 9479 9628 9386 9436 9484 9633 9390 9440 9489 9638 86 87 88 89 76 77 78 79 8808 8866 8921 80 81 82 83 84 9086 9138 9191 9243 9090 9143 9196 9248 9096 9149 85 9294 9299 9304 9201 9263 9101 9164 9206 9456 9604 9360 9410 9460 9509 9366 9416 9466 9613 9370 9420 9469 9618 9376 9425 9474 9623 9647 9652 9667 9662 9666 9671 9576 9681 9686 90 9690 9638 9686 9731 9696 9643 9689 9736 9600 9647 9694 9741 9606 9662 9614 9661 9708 9764 9619 9666 9713 9746 9609 9667 9703 9760 9624 9671 9717 9763 9628 9676 9722 9768 9633 9680 9727 9773 91 92 93 94 95 9777 9782 9786 9791 9796 9800 9806 9809 9814 9818 95 96 97 98 99 9823 9868 9912 9966 9827 .9872 9917 9961 9832 9877 9921 9966 9836 9881 9926 9969 9841 9886 9930 9974 9846 9890 9934 9978 9850 9894 9939 9983 9854 9899 9943 9987 9869 9903 9948 9991 9863 9908 9952 9996 96 97 98 99 N 0 1 2 3 4 5 6 7 8 9 N 9446 9494 9350 9400 9460 9499 9642 91 92 93 94 86 87 88 89 9346 9396 90 9366 9406 9699 71 9769 A L L I E D ' S ELECTRONICS DATA HANDBOOK Natural Sines, Cosines, and Tangents 0°-14.9° Dogs. 0 1 Function 0.0s 04.° 0.2" 0.3s 0.4° 0.5s 0.6s 0.7s 0.8° 0.9s sin 0.0000 0.0035 0.0052 1.0000 0.0052 0.0070 1.0000 0.0070 0.0087 1.0000 0.0087 0.0105 0.9999 0.0105 0.0122 0.9999 0.0122 0.0140 0.9999 0.0140 0.0157 1.0000 0.0000 0.0017 1.0000 0.0017 0.0035 cos tan sin 0.0175 0.9938 0.0175 0.0192 0.9998 0.0192 0.0209 0.9998 0.0209 0.0227 0.9997 0.0227 0.0244 0.9997 0.0244 0.0262 0.9997 0.0262 0.0279 0.9996 0.0279 0.0297 0.9996 0.0297 0.0314 0.9995 0.0314 0.0332 0.9995 0.0332 0.0384 0.9993 0.0384 0.0401 0.9992 0.0419 0.9991 0.0419 0.0436 0.9990 0.0437 0.0454 0.9990 0.0454 0.0471 0.0402 0.9989 0.0472 0.0488 0.9988 0.0489 0.0506 0.9987 0.0507 ees tan 2 sin 0.0349 0.0366 0.9994 0.0349 0.0367 0.0523 0.9986 0.0524 0.0541 0.9985 0.0542 0.0558 0.9984 0.0559 0.0576 0.9983 0.0577 0.0593 0.9982 0.0594 0.0610 0.9981 0.0612 0.0628 0.9980 0.0629 0.0645 0.9979 0.0647 0.0663 0.9978 0.0664 0.0680 0.9977 0.0682 0.0698 0.9976 0.0699 0.0715 0.9974 0.0717 0.0732 0.9973 0.0734 0.0750 0.9972 0.0752 0.0767 0.9971 0.0769 0.0785 0.9969 0.0787 0.0802 0.9968 0.0805 0.0819 0.9366 0.0822 0.0837 0.9965 0.0840 0.9963 0.0857 0.0872 0.9962 0.0875 0.0889 0.9960 0.0892 0.0906 0.9959 0.0910 0.0924 0.9957 0.0928 0.0941 0.9956 0.0945 0.0958 0.9954 0.0963 0.0976 0.9952 0.0981 0.0993 0.9951 0.0938 0.1011 0.9949 0.1016 0.1028 0.9947 0.1033 0.1045 0.9945 0.1051 0.1063 0.9943 0.1069 0.1080 0.9942 0.1086 0.1097 0.9940 0.1104 0.1115 0.9938 0.1122 0.1132 0.9936 0.1139 0.1149 0.9934 0.1157 0.1167 0.9932 0.1175 0.1184 0.9930 0.1192 0.1201 0.9928 0.1210 0.1219 0.9925 0.1228 0.1236 0.9923 0.1246 0.1253 0.9921 0.1263 0.1271 0.9919 0.1281 0.1288 0.9917 0.1299 0.1305 0.9914 0.1317 0.1323 0.9912 0.1334 0.1340 0.9910 0.1352 0.1357 0.9907 0.1370 0.1374 0.9905 0.1388 0.1392 0.9903 0.1405 0.1409 0.9900 0.1423 0.1426 0.9898 0.1441 0.1444 0.1461 0.9895 0.1459 0.1477 0.1478 0.9890 0.1495 0.1495 0.9888 0.1512 0.1513 0.9885 0.1530 0.1530 0.9882 0.1548 0.1547 0.9880 0.1566 0.1564 0.9877 0.1584 0.1582 0.9874 0.1602 0.1599 0.9871 0.1620 0.1616 0.9869 0.1638 0.1633 0.9866 0.1655 0.1650 0.9863 0.1673 0.1668 0.9860 0.1691 0.1685 0.9857 0.1709 0.1702 0.9854 tan 0.1719 0.9851 0.1745 sin 0.1736 0.1788 0.9839 0.1817 0.1805 0.9836 0.1835 0.1822 0.9833 0.1853 0.1840 0.9829 0.1871 0.1874 0.9848 0.1763 0.1771 0.9842 0.1799 0.1857 cos 0.1754 0.9845 0.1781 0.9826 0.1890 0.9823 0.1908 0.1891 0.9820 0.1926 0.1908 0.9816 0.1944 0.1925 0.9813 0.1942 0.9810 0.1962 0.1980 0.1959 0.9806 0.1998 0.1977 0.9803 0.2016 0.1994 0.9799 0.2035 0.2011 0.9796 0.2053 0.2028 0.9792 0.2071 0.2045 0.9789 0.2089 0.2062 0.9785 0.2107 0.2079 0.2096 0.9778 0.2130 0.9770 0.2180 0.2147 0.9767 0.2199 0.2164 0.9763 0.2217 0.2181 0.2198 0.9759 0.2215 0.9751 0.2272 0.2232 0.9748 0.2290 sin cos tan sin 4 cos tan sin 5 cos tan sin 6 cos tan sin 7 cos tan sin 8 cos tan sin 9 10 cos tan sin 11 cos tan sin 12 13 0.9893 0.1727 0.0854 cos 0.9781 0.2126 0.2144 0.2113 0.9774 0.2162 0.2235 0.9755 0.2254 sin 0.2250 0.9744 0.2309 0.2267 0.9740 0.2327 0.2284 0.9736 0.2345 0.2300 0.9732 0.2364 0.2318 0.9728 0.2382 0.2334 0.9724 0.2401 0.2351 0.9720 0.2419 0.2368 0.9715 0.2438 0.2385 0.9711 0.2456 0.2402 0.9707 0.2475 0.2419 0.9703 0.2493 0.2436 0.9699 0.2512 0.2453 0.9694 0.2530 0.2470 0.9690 0.2549 0.2487 0.9686 0.2568 0.2504 0.9681 0.2586 0.2521 0.9677 0.2605 0.2538 0.9673 0.2623 0.2554 tan 0.9668 0.2642 0.2571 0.9664 0.2661 Function C 6' 1? 18' 24' 30' 36' 42' 48' 54' cos sin Dogs. 0.9993 tan tan 14 0.9999 0.0157 cos tan 3 1.0000 cos 72 HANDBOOK DATA ELECTRONICS ALLIED Natural Sines, Cosines, and Tangents—(Continued) 15°-29.9° Degs. Function 0.0° 0.1" 0.2° 0.3° 0.4° 0.5° 0.6° 0.7° 0.8° 0.9° sin 0.2588 0.2605 0.2622 0.2672 0.2723 0.9659 0.9655 0.9641 0.9622 0.2740 0.9617 0.2679 0.2698 0.2736 0.2754 0.9636 0.2773 0.9627 tan 0.9650 0.2717 0.2689 0.9632 0.2706 cot 0.2639 0.9646 0.2656 15 0.2792 0.2811 0.2830 0.2849 0.2874 0.2907 0.3038 16 17 tin 0.2756 0.2773 0.2790 0.2807 cos 0.9613 0.2867 0.9608 0.2886 0.9603 tan 0.2905 0.9598 0.2924 sin 0.2924 cos 0.9563 0.3057 tan 18 20 0.3090 0.3107 0.3123 0.9511 0.3249 0.9505 0.3269 0.9500 0.3288 cos 0.3256 0.9455 tan 0.3443 23 25 i 26 27 28 Degs. 0.3289 0.9444 0.3482 0.9583 0.2981 0.9578 0.2962 0.3000 0.3019 0.2990 0.9542 0.3134 0.3007 0.3024 0.3057 0.3074 0.9537 0.3153 0.9532 0.3040 0.9527 0.9516 0.3172 0.3191 0.9521 0.3211 0.3190 0.9478 0.3206 0.3223 0.3365 0.9472 0.3385 0.9466 0.3404 0.3239 0.9461 0.3140 0.9494 0.3156 0.3173 0.9489 0.3307 0.3327 0.9483 0.3346 0.3305 0.9438 0.3502 0.3355 0.3387 0.3404 0.9426 0.9415 0.9409 0.3522 0.3541 0.9421 0.3561 0.3581 0.3600 0.9403 0.3620 0.3551 0.3437 0.3453 0.3469 0.3518 0.9385 0.9379 0.3486 0.9373 0.3502 0.9391 0.9367 0.9361 0.3659 0.3679 0.3699 0.3719 0.3739 0.3759 0.9354 0.3779 0.9348 0.3799 0.3714 sin .3584 0.3600 0.3616 0.3633 0.9336 0.9330 0.9323 0.3839 0.3859 0.3879 0.9317 0.3899 cos 0.3746 0.9272 tan 0.4040 0.3762 0.9265 0.4061 0.3649 0.9311 0.3665 0.9304 0.3681 0.9298 0.9291 0.9285 0.3919 0.3939 0.3959 0.3979 0.4000 0.4020 0.3875 0.3891 0.9219 0.9212 0.4204 0.4224 0.3843 0.9232 0.4122 0.3827 0.9239 0.4142 0.4163 0.3859 0.9225 0.4183 0.3971 0.3987 0.4019 0.9157 0.4051 0.9171 0.4348 0.4003 0.9164 0.4035 0.9178 0.9150 0.9143 0.4369 0.4390 0.4411 0.4431 0.4195 0.9078 0.4210 0.3811 0.9245 0.4081 0.4101 0.3955 0.9184 0.4307 0.4327 0.3907 0.3923 0.3939 0.9205 0.4245 0.9198 0.4265 0.9191 0.4286 sin 0.4067 0.4083 0.4099 0.4147 0.9135 0.4452 0.9128 0.4473 0.9121 0.4115 0.9114 0.4131 cos 0.9107 tan 0.4494 0.4515 0.4536 0.9100 0.4557 0.4258 0.9048 0.4274 0.4289 0.9041 0.9033 0.4706 0.4727 0.4415 0.8973 0.4921 sin 0.4226 0.4242 cos 0.9063 tan 0.4663 0.9056 0.4684 sin cos 0.4384 0.8988 0.4399 0.8980 tan 0.4877 0.4899 0 3819 0.3730 0.9278 0.3795 0.9252 cos 0.3567 0.9342 0.3697 0.3778 0.9259 sin 0.3424 0.3338 0.9397 0.3640 cos 0.3230 0.3322 0.9432 0.3420 tan 0.9568 0.3371 sin 0.4163 0.9092 0.4179 0.9070 0.4642 0.4578 0.9085 0.4599 0.4305 0.4321 0.4337 0.9026 0.9018 0.9011 0.4352 0.9003 0.4748 0.4770 0.4791 0.4813 0.4834 0.8996 0.4856 0.4431 0.4446 0.4462 0.4478 0.4524 0.8957 0.4964 0.8949 0.8942 0.8926 0.8918 0.4986 0.5008 0.4493 0.8934 0,5029 0.4509 0.8965 0.5051 0.5073 0.4942 0.4621 0.4368 sin 0.4540 0.4571 0.4586 0.8910 0.8894 0.8886 0.4602 0.8878 0.4617 cos 0.4555 0.8902 0.8870 0.4633 0.8862 0.4648 0.8854 0.4664 tan 0.5095 0.5117 0.5139 0.5161 0.5184 0.5206 0.5228 0.5250 0.5272 sin 0.4695 0.8829 0.4710 0.8821 0.4726 0.4741 0.4756 0.4802 0.4818 0.8813 0.8805 0.8796 0.4772 0.8788 0.4787 cos 0.8780 0.8771 0.8763 0.4833 0.8755 tan 0.5317 0.5340 0.5362 0.5384 0.5407 0.5430 0.5452 0.5475 0.5498 0.5520 0.4909 0.8712 0.4924 0.4939 0.8695 0.5681 0.4955 0.8686 0.4970 0.4985 0.8669 0.5704 0.8678 0.5727 36' 42' 48' 54' 0.4848 0.8746 0.4863 0.4879 0.4894 cos 0.8738 tan 0.5543 0.5566 0.8729 0.5589 0.8721 0.5612 0.5635 0.8704 0.5658 Function 0' 6' 12' 18' 24' 30' sin 29 0.9449 0.3463 0.3115 0.9588 0.2943 cos tan 24 0.3272 0.2974 0.9548 0.2840 0.2890 0.9573 0.3535 sin 22 0.9553 0.3096 sin tan 21 0.3076 0.2957 cos tan sin 19 0.2940 0.9558 0.2823 0.9593 0.2857 73 0.4679 0.8846 0.8838 0.5295 0.5750 ALLIED'S ELECTRONICS DATA HANDBOOK Natural Sines, Cosines, and Tangents—(Continued) 30°-44.9° Degs. Function 0.0° 0.1s 0.2° 0.3° 0.4° 0.5° 0.6° 0.7° 0.8° 0.9° sin 0 5015 0.8652 0.5030 0.5090 0.8607 0.5135 0 8634 0.5075 0.8616 0.5120 0.8643 0.8599 tan 0.5774 0.5797 0 5820 0.5844 0.5060 0.8625 0.5867 0.5105 cos 0.5000 0.8660 0.5045 30 0.5890 0.5914 0.5938 0.8590 0.5961 0.5985 sin 0.5150 0.8572 0.5165 0.5180 0.5195 0 8563 0.8554 0.8545 0.5225 0.8526 0.5255 0.8508 tan 0.6009 0.6032 0.6056 0.6080 0.5210 0.8536 0.6104 0.5240 cos 0.6128 0.6152 0.6176 sin 0.5299 0.5314 0.5329 0.5344 0.5358 0.5388 0.5402 0.5417 0.5432 cos 0.8471 0.8462 0.8453 0.8396 0.6297 0.6322 0.8425 0.6395 0.8406 0.6273 0.8443 0.6346 0.8415 tan 0.8480 0.6249 0.5373 0.8434 0.6420 0.6445 0.6469 sin 0.5446 0.5461 0.5476 0.5490 0.5505 0.5548 0.5563 0.5577 0.8377 0.6519 0 8368 0.8358 0.8348 0 8339 0.8320 0.8310 0.8300 0.6544 0.6569 0.6594 0.6619 0.6669 0.6694 0.6720 0.5635 0.5707 0.8251 0.8241 0.5678 0.8231 0.5693 0.8261 0.5721 0.8202 0.6847 0.6873 0.6899 0 8221 0.6924 0.8211 0.6822 0.6950 0.6976 0.5779 0.5793 0.5807 31 32 33 34 35 36 cos 0 8387 tan 0.6494 sin 0.5592 0.5606 39 40 cos 0.8290 0.8281 0.6745 0.6771 0.6796 sin 0.5736 0.5750 0.8181 0.7028 0.5764 0.8171 0.8161 0.8151 0.8141 0.8131 0.8121 0.8111 0.8100 0.7054 0.7080 0.7107 0.7133 0.7159 0.7186 0.7212 0.7239 0.5934 cos 0.8192 tan 0.7002 sin 0.5878 0.8090 0.7265 cos 42 43 44 Degs. 0.5650 0.5664 0.5821 0.5835 0.5850 0.5864 0.5892 0.5906 0.5976 0.5990 0.6004 0.8070 0.8059 0.8049 0.5948 0.8039 0.5962 0.8080 0.8028 0.8018 0.8007 0.7292 0.7319 0.7346 0.7373 0.7400 0.7427 0.7454 0.7481 0.7997 0.7508 0.5920 0.6018 0.7986 0.7536 0.6032 0.7976 0.6046 0.6088 0.7934 0.6115 0.6129 0.6143 0.7955 0.6074 0.7944 0.6101 0.7965 0.7923 0.7912 0.7902 tan 0.7563 0.7590 0.7618 0.7646 0.7673 0.7701 0.7729 0.7757 0.7891 0.7785 sin 0.6157 0.6170 0.6184 0.6198 0.6239 0.6280 0.7869 0.7841 0.7859 0.7848 0.7826 0.7815 0.6252 0.7804 0.6266 0.7880 0.7813 0.6211 0.7837 0.6225 cos 0.7793 0.7782 tan 0.7869 0.7898 0.7926 0.7954 0.7983 0.8012 0.8040 0.8069 sin 0.6347 0.7727 0.6361 0.7716 0.6401 0.6414 0.7705 0.7694 0.7683 0.8214 0.8243 0.8273 0.8302 0.8332 0.7672 0.8361 cos 0.6060 0.6293 0.6307 0.6320 0.6334 cos 0.7771 tan 0.8098 0.7760 0.8127 0.7749 0.8156 0.7738 0.8185 sin 0.6428 cos 0.7660 0.8391 tan 41 0.5284 0.8490 0.6224 tan sin 38 0.5534 0.8329 0.6644 0.5270 0.8499 0.6200 0.5621 0.8271 tan 37 0.6371 0.5519 0.8517 0.8581 0.6441 0.7649 0.6374 0.6388 0.6547 0.6455 0.6468 0.6481 0.7615 0.6494 0.6508 0.7638 0.8451 0.7627 0.6521 0.7581 0.7570 0.7559 0.8481 0.8511 0.7604 0.8541 0.7593 0.8421 0.8571 0.8601 0.8632 0.8662 0.6613 0.6534 sin 0.6561 0.6574 0.6587 0.6600 0.6626 0.6639 0.7547 0.7536 0.7513 0.7501 0.7490 0.7478 0.7455 0.6678 0.7443 tan 0.8693 0.8724 0.7524 0.8754 0.6652 0.7466 0.6665 cos 0.8785 0.8816 0.8847 0.8878 0.8910 0.8941 0.8972 0.6769 sin 0.6691 0.6704 0.6717 0.6756 0.6807 0.7420 0.9036 0.7408 0.7385 0.7373 0.7361 0.6782 0.7349 0.6794 0.7431 0.9004 0.6730 0.7396 0.6743 cos 0.7337 0.7325 tan 0.9067 0.9099 0.9131 0.9163 0.9195 0.9228 0.9260 0.9293 sin 0.6909 0.7230 0.9556 0.6921 0.6934 0.7218 0.9590 0.7206 0.6820 0.6833 0.6845 0.6858 0.6871 0.6884 0.6896 cos 0.7314 0.7302 0.7242 0.9358 0.7278 0.9424 0.7254 0.9325 0.7290 0.9391 0.7266 tan 0.9457 0.9490 0.9523 sin 0.9623 0.6947 0.6959 0.6972 0.6984 0.6997 0.7034 0.7046 0.7059 0.7193 0.7181 0.7169 0.7157 0.7145 0.7120 0.7108 0.7096 0.7083 0.9657 0.9691 0.9725 0.9759 0.9793 0.7009 0.7133 0.9827 0.7022 cos tan 0.9861 0.9896 0.9930 0.9965 Function 0' 6' 12' 18' 24' 30' 36' 42' 48' 54' 74 ALLIED'S HANDBOOK DATA ELECTRONICS Natural Sines, Cosines, and Tangents—(Continued) 45°-59.9° Degs. Function 0.0° 0.1s 0.2° 0.3° 0.4° 0.5° 0.6° 0.7° 0.8° 0.9° sin 0.7096 0.7133 0.7145 0.7046 0.7022 0.6997 0.7157 0.6984 0.7169 0.7059 0.7108 0.7034 0.7120 cos 0.7071 0.7071 0.7083 45 0.6972 0.7181 0.6959 1.0212 1.0247 1.0283 1.0319 0.7302 0.6833 1.0686 46 47 48 49 50 51 52 53 54 55 tan 1.0000 1.0035 1.0070 1.0105 1.0141 0.7009 1.0176 sin 0.7193 0.7206 0.7218 0.7230 0.7242 0.7254 0.7266 0.7278 0.7290 cos 0.6934 0.6921 0.6909 0.6896 0.6884 0.6871 0.6858 0.6845 tan. 0.6947 1.0355 1.0392 1.0428 1.0464 1.0501 1.0538 1.0575 1.0612 1.0649 sin 0.7314 0.7325 0.7337 0.7349 0.7361 0.7385 0.7396 0.7408 cos 0.6820 0.6807 0.6782 0.6769 0.7373 0.6756 0.6743 0.6730 0.6717 0.7420 0.6704 1.0837 1.0875 1.0913 1.0951 1.0990 1.1028 1.1067 0.7466 0.6652 0.7478 0.7490 0.6626 0.7501 0.6613 0.7513 0.7524 0.6600 0.6587 0.7536 0.6574 1.1463 tan 1.0724 1 .0761 0.6794 1.0799 sin 0.7431 0.6691 0.7443 0.7455 0.6678 1.1145 0.6665 1.1184 cos 57 58 59 Degs. 1.1303 1.1343 1.1383 1.1423 0.7593 0.7604 0.7615 0.7627 0.7638 0.6494 0.6481 0.6455 0.7649 0.6441 1.1750 0.6468 1.1792 1.1833 1.1875 0.7727 0.6347 0.7738 0.6334 0.7749 0.7760 0.6307 1.2305 tan 1.1106 sin 0.7547 0.7559 0.7570 0.7581 cos 0.6561 0.6547 0.6534 0.6521 1.1708 tan 1.1504 1.1544 1.1585 1.1626 0.6508 1.1667 sin 0.7660 0.7694 0.7705 0.7716 0.6428 0.7672 0.6414 0.7683 cos 0.6401 0.6388 0.6361 0.6320 tan 1.1918 1.1960 1.2002 1.2045 0.6374 1.2088 1,2131 1.2174 1.2218 1.2261 sin 0.7782 0.7815 0.7826 0.7837 0.6252 0.6239 0.6225 0.6211 0.7848 0.6198 0.7859 0.6184 tan 1.2349 0.6280 1.2393 0.7793 0.6266 0.7804 cos 0.7771 0.6293 sin 0.7880 0.7891 cos 0.6157 tan sin 0.7869 0.6170 1.2753 1.2437 1.2482 1.2527 1.2572 1.2617 1.2662 1.2708 0.7912 0.7923 0.7934 0.7944 0.7955 0.6143 0.7902 0.6129 0.6101 0.6060 1.2846 1.2892 0.6088 1.3032 0.6074 1.2799 0.6115 1.2938 0.7965 0.6046 1.3079 1.3127 1.3175 0.7986 0.6018 0.7997 0,6004 0.8007 0.5990 0.8018 0.8049 0.8080 0.5892 1.3270 1.3319 1.3367 1.3416 1 .3465 0.5934 1.3564 0.5906 tan 0.5948 1.3514 0.8059 0.5920 0.8070 0.5976 0.8028 0.5962 0.8039 cos 1.3613 1.3663 1.3713 sin 0.8090 0.8100 0.8111 0.8121 0.8131 0.8141 0.8151 0.8161 cos 0.5878 0.5864 0.5850 0.5835 0.5821 0.5807 0.5793 0.8171 0.5764 0.5750 tan 1.3764 1.3814 1.3865 1.3916 1.3968 1.4019 1.4071 0.5779 1.4124 1.4176 1.4229 0.8261 0.5635 0.8271 0.5621 0.8281 0.5606 1.2985 0.7976 0.6032 1.3222 0.8181 sin 0.8192 0.8202 0.8211 0.8221 0.8231 0,8241 0.8251 cos 0.5736 0.5721 0.5707 0.5693 0.5678 0.5664 0.5650 tan 1.4281 1.4335 1.4388 1.4442 1.4496 1.4550 1.4605 1.4659 1.4715 1.4770 0.8329 0.8339 0.8348 0.8358 0.8368 0.8377 0.5461 1.5340 0.8300 0.8310 cos 0.8290 0.5592 0.8320 0.5577 0.5563 0.5519 0.5505 0.5490 1.4826 1.4882 1.4938 0.5548 1.4994 0.5534 tan 1.5051 1.5108 1.5166 1.5224 0.5476 1.5282 sin 0.8387 0.8396 0.8406 0.8415 0.8425 0.8453 0.8462 0.8471 0.5446 0.5432 0.5417 0.5402 0.5358 0.5344 0.5329 0.5314 tan 1.5399 1.5458 1.5517 1.5577 0.5388 1.5637 0.8434 0.5373 0.8443 cos sin 56 1.1224 0.6639 1.1263 1.5697 1.5757 1.5818 1.5880 1.5941 0.8526 0.5225 0.8536 0.8545 0.8554 0.8563 0.5210 0.5195 0.5180 0.5165 1.6319 1.6383 1.6447 1.6512 1.6577 sin 0.8480 0.8508 0.5299 1.6003 0.5270 1.6128 0.5255 tan 0.8490 0.5284 1.6066 0.8499 cos 0.8517 0.5240 1.6191 1.6255 sin 0.8572 0.8581 0.8590 0.8599 0.8607 0.8616 0.8625 0.8634 cos 0.5135 0.5120 0.5045 0.8643 0.5030 1.6775 0.5090 1.6909 0.5060 1.6709 0.5105 1.6842 0.5075 tan 0.5150 1.6643 1.6977 1.7045 1.7113 1.7182 0 8652 0.5015 1.7251 Function 0' 6' 12' 18' 24' 30' 36' 42' 48' 54' 75 ALLIED'S ELECTRONICS DATA HANDBOOK Natural Sines, Cosines, and Tangents—(Continued) 60°-74.9° Dogs. 60 Function 0.0s 04." 0.2s 0.3s 0.4s 0.5s 0.6s 0.7s 0.8s 0.9s sin 0.8660 0.5000 1.7321 0.8669 0.4985 1.7391 0.8678 0.8686 0.4955 1.7532 0.8695 0.4939 1.7603 0.8704 0.4924 1.7675 0.8712 0.4909 1.7747 0.8721 0.4894 1.7820 0.8723 0.4879 1.7893 0.8738 1.7461 0.8746 0.4848 1.8040 0.8755 0.8763 0.4818 0.8771 0.4802 0.8796 0.4756 1.8495 0.8805 0.4741 1.8572 0.8813 0.4726 1.8265 0.8780 0.4787 1.8341 0.8788 0.4772 1.8190 1.8650 0.8821 0.4710 1.8728 0.8829 0.4695 1.8807 0.8838 0.4679 1.8887 0.8846 0.4664 1.8967 0.8854 0.4648 1.9047 0.8862 0.4633 1.9128 0.8870 0.4617 1.9210 0.8878 0.4602 1.9292 0.8886 0.4586 1.9375 0.8694 0.4571 1.9458 0.8902 0.4555 1.9542 0.8910 0.4540 1.9626 0.8918 0.4524 1.9711 0.8926 0.4509 1.9797 0.8934 0.4493 1.9883 0.8942 0.4478 1.9970 0.8949 0.4462 2.0057 0.8957 0.4446 2.0145 0.8965 0.4431 2.0233 0.8973 0.4415 2.0323 0.8980 0.8388 0.4384 2.0503 0.8996 0.4368 2.0594 0.9003 0.4352 2.0686 0.9011 0.4337 2.0778 0.9018 0.4321 2.0872 0.9026 0.4305 2.0365 0.9033 0.4289 2.1060 0.9041 0.4274 2.1155 0.9048 0.4258 2.1251 0.9056 0.4242 0.9063 0.4226 2.1445 0.9070 0.4210 2.1543 0.9078 0.4195 2.1642 0.3085 0.4179 2.1742 0.9092 0.4163 2.1842 0.9100 0.4147 2.1943 0.9107 0.4131 2.2045 0.9114 0.4115 2.2148 0.9121 0.4099 2.2251 0.9128 0.4083 2.2355 0.9135 0.4067 2.2460 0.9143 0.4051 0.9150 0.4035 2.2673 0.9157 0.4019 2.2781 0.9164 0.4003 2.2566 2.2889 0.9171 0.3387 2.2338 0.9178 0.3971 2.3109 0.9184 0.3955 2.3220 0.9191 0.3939 2.3332 0.9198 0.3923 2.3445 cos tan sin 61 cos tan sin 62 cos tan sin 63 cos tan sin 64 cos tan sin 65 cos tan sin 66 cos tan 0.9219 0.3875 2.3789 0.3859 2.3906 0.9232 0.3843 2.4023 0.9239 0.3827 2.4142 0.9245 0.3811 2.4262 0.9252 0.3795 2.4383 0.9259 0.3778 2.4504 0.9265 0.3762 2.4627 0.9272 0.3746 2.4751 0.9278 0.3730 2.4876 0.9285 0.3714 2.5002 0.9291 0.3697 2.5129 0.9298 0.3681 2.5257 0.9304 0.3665 2.5386 0.9311 0.3649 2.5517 0.9317 0.3633 2.5649 0.9323 0.3616 2.5782 0.9330 0.3600 2.5916 0.9336 0.3584 2.6051 0.9342 0.3567 2.6187 0.9348 0.3551 2.6325 0.9354 0.3535 2.6464 0.9361 0.3518 2.6605 0.9367 0.3502 2.6746 0.9373 0.3486 2.6889 0.9373 0.3463 2.7034 0.9385 0.3453 2.7179 0.9391 0.3437 2.7326 0.9397 0.3420 2.7475 0.9403 0.3404 2.7625 0.9409 0.3387 2.7776 0.9415 0.3371 2.7929 0.9421 0.3355 2.8083 0.9426 0.3338 2.8239 0.9432 0.3322 2.8397 0.3438 0.3305 2.8556 0.9444 0.3289 2.8716 0.9449 0.3272 2.8878 0.9455 0.3256 2.9042 0.9461 0.3239 2.9208 0.9466 0.3223 2.9375 0.3472 0.3206 2.9544 0.9478 0.3190 2.9714 0.9483 0.3173 2.9887 0.9489 0.3156 3.0061 0.3434 0.3140 3.0237 0.9500 0.3123 3.0415 0.9505 0.3107 3.0595 0.9511 0.3090 3.0777 0.9516 0.3074 3.0961 0.9521 0.3057 3.1146 0.9527 0.9537 0.3007 3.1716 0.9542 0.2990 3.1910 0.3548 0.2974 3.2106 0.9553 0.2957 3.1334 0.9532 0.3024 3.1524 3.2305 0.9558 0.2940 3.2506 0.9563 0.2924 3.2709 0.9568 0.2907 3.2914 0.9573 0.2890 3.3122 0.9578 0.2874 3.3332 0.9583 0.2857 3.3544 0.9588 0.2840 3.3759 0.9593 0.2823 3.3977 0.9598 0.2807 3.4197 0.9603 0.2790 3.4420 0.9608 0.2773 3.4646 tan 0.9613 0.2756 3.4874 0.9617 0.2740 3.5105 0.9622 0.2723 3.5339 0.3627 0.2706 3.5576 0.9632 0.2689 3.5816 0.9636 0.2672 3.6059 0.9641 0.2656 3.6305 0.9646 0.2639 3.6554 0.9650 0.2622 3.6806 0.9655 0.2605 3.7062 Function 0' 6' 12' 18' 24' 30' 36' 42' 48' 54' cos tan sin cos tan sin 70 cos tan sin 71 cos tan sin 72 cos tan sin 73 cos tan sin 74 Dogs. 2.1348 2.3673 sin 69 0.4399 2.0413 0.9212 0.3891 cos tan 68 1.8418 0.4863 1.7966 0.9205 0.3907 2.3559 sin 67 0.4833 1.8115 0.4970 cos 0.9225 0.3040 76 ALLIED'S ELECTRONICS HANDBOOK DATA Natural Sines, Cosines, and Tangents—(Continued) 75°-89.9° 4.2303 4.2635 0.9763 0.9767 0.9770 0.9774 0.9778 0.2164 0.2147 4.5107 4.5483 0.2130 4.5864 0.2113 4.4374 0.2181 4.4737 0.2096 4.6646 0.9792 0.9796 0.9803 0.9813 0.2011 4.8716 0.1942 4.7453 0.2028 4.8288 0.9806 0.1959 0.9810 0.2045 4.7867 0.9799 0.1994 0.9820 0.9823 0.9829 0.1891 5.1929 0.1874 0.9826 0.1857 5.2422 5.2924 0.1840 5.3435 0.9851 0.9854 0.9857 0.1719 0.1702 5.7297 5.7894 0.1685 5.8502 0.9882 0.9885 4.1022 0.9755 0.9759 0.2198 4.3662 0.2215 4.4015 0.9781 0.2079 0.9785 0.9789 0.2062 4.7046 cos 0.9816 0.1908 tan 5.1446 sin cos 0.9848 0.1736 tan 5.6713 4.0713 0.9748 0.9751 0.2250 0.2232 4.3315 cos tan 5.0045 5.0504 0.9833 0.1822 0.9836 0.9839 0.1805 0.1788 0.9842 0.1771 0.9845 0.1754 5.3955 5.4486 5.5026 5.5578 5.6140 0.9860 0.9863 0.9866 0.9874 0.1650 5.9758 0.1633 0.9869 0.1616 0.9871 0.1668 0.1582 6.0405 6.1066 0.1599 6.1742 0.9890 0.9895 6.6912 6.7720 6.8548 0.9898 0.1426 6.9395 0.9900 0.1478 0.9893 0.1461 5.9124 4.9152 cos 0.9877 0.1564 0.9880 0.1547 0.1530 0.1513 tan 6.3138 6.3859 6.4596 6.5350 sin 0.9903 0.9907 0.1357 0.9912 0.1340 0.1323 0.9914 0.1305 0.9917 0.1392 7.1154 0.9905 0.1374 0.9910 cos 0.1288 0.9919 0.1271 7.2066 7.3002 7.3962 7.4947 7.5958 7.6996 7.8062 0.9928 0.1201 8.2636 0.9930 0.9932 0.9934 0.1167 0.1149 0.9«36 0.1132 0.9938 0.1184 0.1115 8.3863 8.5126 8.6427 8.7769 0.9949 0.9951 0.9952 0.9954 0.0993 0.0976 0.0958 9.6768 0.1011 9.8448 0.9963 0.9965 0.0854 0.0837 tan sin cos tan 0.9925 0.1219 8.1443 sin 0.9945 cos 0.1045 9.5144 tan sin cos tan 0.9962 0.0872 11.43 0.9947 0.1028 11.66 sin 0.9976 0.9977 cos 0.0698 0.0680 14.67 tan 14.30 sin 0.9986 0.9987 cos 0.0523 0.0506 tan sin cos tan 19.08 0.9994 0.0349 28.64 19.74 0.9995 0.0332 30.14 sin 0.9998 0.9999 cos 0.0175 0.0157 tan Function 57 29 63.66 11.91 0.9978 0.0663 15.06 0.9988 0.0488 20.45 0.9995 0.0314 31.82 0.9999 0.0140 71.62 12' 10.02 10.20 0.9966 0.0819 10.39 0.9923 0.1236 8.0285 0.9940 0.1097 0.9942 0.1080 0.9943 0.1063 8.9152 9.0579 9.2052 9.3572 0.9956 0.0941 0.9957 0.0924 0.9959 0.9960 10.58 0.9969 0.9971 0.9972 0.0767 0.0750 13.00 0.9979 0.9981 0.9982 0.0645 0.0628 0.0610 0.0593 0.9989 0.0471 21.20 0.9996 0.0297 0.9990 0.0454 22.02 0.9996 0.0279 35.80 33.69 0.9999 0.0122 0.9999 0.0105 95.49 81.85 18' 77 10.78 0.0785 12.71 24' 16.35 0.9990 0.0436 22.90 0.9997 0.0262 38.19 16.83 0.9991 0.0419 23.86 0.9997 0.0244 40.92 1.000 1.000 0.0087 0.0070 114.6 30' 0.1409 7.0264 0.9921 0.0802 15.89 6.2432 0.1253 7.9158 0.9980 15.46 0.1444 0.9968 12.43 12.16 4.6252 0.1925 5.0970 0.1977 4.9594 0.9888 0.1495 6.6122 sin Degs. 4.1653 0.9740 0.2267 4.2972 4.0408 sin 89 0.9736 0.2284 0.9724 0.2334 0.2385 cos sin 88 0.2300 0.2351 4.1335 0.9711 0.2402 tan 87 0.9732 0.2317 4.1976 0.9720 0.2368 0.9707 sin 86 0.9728 0.9715 3.7848 0.2538 3.8118 cos 85 3.9812 0.9673 0.2554 4.0108 84 3.9520 3.8667 0.9668 0.2571 3.7583 0.9744 83 3.9232 3.8391 0.9664 tan 82 3.8947 0.2487 0.9659 0.2588 0.9703 0.2419 81 0.9699 0.2436 0.9686 0.2504 sin cos sin 80 0.2453 0.9681 0.2521 0.4° 3.7321 79 0.9694 0.2470 0.9677 0.3° tan 78 0.9690 0.7° 0.2° 75 77 0.9° 0.6° 0.1° Function 76 0.8° 0.5° 0.0° Degs. 143.2 36' 13.30 0.9983 0.0576 17.34 0.9992 0.0401 24.90 0.9997 0.0227 44.07 1 000 0.0052 191.0 42' 0.0906 10.99 0.9973 0.0732 13.62 0.9984 0.0558 17.89 0.9993 0.0384 26.03 0.9998 0.0209 47.74 1.000 0.0035 286.5 48' 0.0889 11.20 0.9974 0.0715 13.95 0.9985 0.0541 18.46 0.9993 0.0366 27.27 0.9998 0.0192 52.08 1.000 0.0017 573.0 54' the Allied Electronics Library . . . other Useful and Educational Handbooks PUBLISHED BY ALLIED RADIO THIS IS STEREO HIGH FIDELITY. The com plete story ofstereo! Written by Allied's ownaudio experts with the editorial assistance of noted au STEREO t HIGH-FIDELITY thority Edward Tatnall Canby. Explains what stereo hi-fi is—how to select components—what makes up a stereo system. Straightforward and nontechnical; covers changers, turntables, cart ridges, amplifiers, tuners, speakers, kits, ways of converting older systems to stereo, component placement, etc. With illustrations of representative stereo music systems. 36 pages. 834x11". 37 K 387. Postpaid in U.S.A 26* BASIC ELECTRONICS. An excellent, informative booklet written for beginners without any previous electronics experience. Prepared with the student in mind, it is ideal for use in elementary science courses as offered by high schools and colleges. Examines sub jects such as vacuum tubes, rectifiers and power sup plies, amplifiers, detectors and radio receivers, oscil lators, electronic control circuits, etc. Also contains a series ofsixfascinating electronic experiments, requir ing a minimum of equipment, plus numerous valuable diagrams. 24 pages. 8M>xll". 39 K 092. Postpaid in U.S.A 25«f UNDERSTANDING TRANSISTORS. Learn about the characteristics, applications and construction of transistors fromAllied'sowneasy-to-understand hand book of transistor fundamentals. Written by noted technical editor, Milton Kiver, discussions are in cluded on every transistor type as well as transistor amplifier circuits, power amplifiers, radio and IF am plifiers and oscillator circuits. Profusely illustrated with diagrams and circuits to emphasize and clarify each chapter. 64 pages. 6x9". 37 K 389. Postpaid in U.S.A 78 V 35^ COMPLETE SET OF FOUR BOOKS. A set of four excellent books covering basic applied electronics. Includes this book (Electronics Data Handbook), plus Radio Builder's Handbook, Radio Circuit Handbook and Dictionary of Electronics Terms. Ideal for students, instructors, hobbyists and all others with an interest in electronics. 37 K 399. Postpaid in U.S.A RADIO BUILDER'S HANDBOOK An 1.00 excellent book for introducing radio and electronics to the be ginning experimenter and builder. Clearly explains radio set parts and functions, magnetism, resistance, electron theory, inductance and reactance. Discusses capacitance and how to read schematic diagrams. Also features information on transistors, radiotele graph code, high fidelity, printed circuits, construc tion hints as well as data on Amateur radio and test equipment. Also has list of symbols and abbrevia tions. Edited by Milton Kiver. 53 pages, 8K>xll". 37 K 750. Postpaid in U.S.A 25^ RADIO CIRCUIT HANDBOOK. A completely upto-date handbook that illustrates and explains basic electronic circuits and their practical application in working electronic units. Written in simple, everyday language, the booklet progresses from a 2-tube set to a 5-tubc type and a 5-transistor type superheterodyne. Dozens of schematics as well as complete pictorials are included to make this a unique and easy-to-follow pres entation for students, experimenters and builders. Includes Radio and Television Tube Tester, PushPull Power Amplifier, AC-DC Power Supply and many others. 36 pages. 8K>xll" 37 K 753. Postpaid in U.S.A 25c TJT DICTIONARY OF ELECTRONIC TERMS. A val Allied uable book to keep up with the specialized language of electronics—completely revised with clear defini DICTIONARY OF i ELECTRONIC TERMS A tions of more than 3800 terms. Includes over 125 illus trations and diagrams plus appendix of color codes and schematic diagrams used in Electronics and Nu cleonics. Also contains brief sections on outstanding advances in electronics plus getting started in Ama teur radio. Edited by Robert E. Beam, Ph.D., North western University. 84 pages. 6x9". 37 K 756. Postpaid in U.S.A — 35C i 79 ul.-ALLIED RAD o INDEX Abbreviations 23, 67 Admittance Ohm's Law 17 Algebraic Formulas Algebraic Symbols 5 4 Attenuator Networks Peak Current Peak Volts 7-9 Average Current Average Volts 22 22 Phase Angle Pilot Lamp Data Power Factor Capacitance Capacitors 12, 20, 33-36, 60-63 12, 60-63 Coefficient of Coupling Coils Constants 20 17 R-F Coils 4, 12, 22 Conversion Chart Coulombs 37 12 Coupled Inductance Coupling Coefficient 12 13 Diagram Symbols Dielectric Constants Exponents and Radicals Fractional Inches Frequency Inches to Millimeters 12 Schematic Symbols Shunts 60 13, 33-36 68-69 12 26-27 Solution of a Quadratic 5 Speaker Matching—70 Volt System. .11 Steady State I and E 19 Susceptance 17 Symbols 23, 67-69 4 13, 20, 33-36 14-16, 20 4 Transient I and E 18-19 Transistor Circuits 24-25 Transistor Formulas 70-71 38-40 4 Multipliers 5 60-66 Self-Inductance 5 4 Millimeters to Inches Mixers 22 Resonance 68-69 Mathematical Constants Metric Relationships 22 R.M.S. Volts Resistors 5-6 Mathematical Symbols Meter Formulas 30, 32-33 Reactance 13, 33-36 Resistance 12, 26, 28-29 Resistor-Capicator Color Codes. . .60-63 Inductance 12, 13, 30, 32-36 Interchangeable Batteries 58-59 Interchangeable Tubes 41-55 Log Tables Logarithms—How to Use 14 5 R.M.S. Current Radio Color Codes Growth of E & I in LCR Circuits. 18-19 Impedance 22 22 28 56-57 28 Radicals and Exponents Decay of E & I in LCR Circuits. . . 18-19 Decibels 20 "Q" Factor Quadratic Equations 13 30, 32-33 Concentric Transmission Lines Conductance 28-29 Open-Air Transmission Lines 26-27 37 4 9 23 Transistor Symbols 23 Transmission Lines 20 Trigonometric Formulas Trigonometric Functions Trigonometric Tables 21 21 72-77 Vacuum Tube Constants 22 Vacuum Tube Formulas 22 Vacuum Tube Symbols Vertical Antenna, Capacitance 22 '20 26-27 Minimum Loss Pads 10 Wavelength 13, 20 Mutual Inductance 13 Wire Tables 30-31 Consult Your ALLIED Catalog for Everything in Radio, Television and Industrial Electronics 80