Experiment I Ohm's Law I. References II. Equipment ! " ' () # $ % & & " * # % & # + " # & III. Introduction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ymbols * : > 6 ** * # : " # " * : # > ) " 5.(%6 + A Variable resistor or Rheostat Battery Ammeter V Resistor Switch Voltmeter , - * V. Electrical Circuits . ) ) * # # . = * " ) ) = # " ) # * = ) / * * # ) " * # , , # ) * * " ) * . " ; + E A r – G F E D I B / > 5.( 6 ** R C = # V A − VB = ∆V AB = 0 ∆VBC = IR " ) ) ; " @ ∆VCD = 0 ∆VDE = Ir ∆VEF = 0 ∆VFG = −ε + ** # ∆V AA = IR + Ir − ε = 0 # " # ε = I (R + r) "!$#&%(')*,+.-0/&12*435'687:9;)=<.>?351@2>A)57CB)EDF>A1HG'68G68G68@2IJK-0@23EGL<K12@FGL'2)35-07C7:)E@2G$*,+.1NM<.@29<.@2GL1FGL'2)J.-0@235GL<.12@ <.>()EOP-068+PGL1FGL'2)3E-P7C7C)5@2G$*,+.1NMQ<K@291-PG$12*RGL'2)J.-0@235GL<.12@RS + I I R1 I1 I1 P Q R2 I2 4 A / B I B I1 + I2 @ < I2 * / > 5.( 6 # B I1 B I A @ I2 I = I1 + I2 - VI. Computing the Effective Resistance of Networks of Resistors O C A R1 I R2 R1 R2 I1 I2 B D O' (a) 5 6 + (b) 5" 6 Series connection Since current represents flow of charge and therefore must be conserved, the current in R1 must be the same as the current in R2. Hence V1 = IR1 V2 = IR2 therefore V1 + V2 = I ( R1 + R2 ) which is equivalent to writing V = IR where V = V1 + V2 and R = R1 + R2 i.e. two resistors connected in series are equivalent to one resistor whose value is equal to their sum. Generalizing, R = i Ri Parallel connection The potential difference V between O and O ’ must be the same whether we go along OABO ’ or OCDO ’. Also conservation of current requires that I = I1 + I 2 V V I2 = I1 = R2 R1 therefore 1 1 + I =V R1 R2 which is equivalent to writing V = IR RR where R = 1 2 R1 + R2 i.e. two resistors are connected in parallel are equivalent to one whose reciprocal is equal to the sum of their reciprocals. 1 1 Generalizing, = R i Ri VII. Experiment !#"%$&' )( , * : : > " * * # " - " " # > 5.($ 6 5 * , # 6 + E A r I R V " / ) ) " , ) " * " " ) " . * / * C * # * # ) + # # " , * , ) : " , " * : % * . * ) ) # * - @ .* * # # " V = IR ε = I ( R + r ) which can be combined and rewritten as V = ε − rI . / " ) " .* : − ** ε ) . ? > # # * > ε # # * # " ) < # * * # ) * 6 6 ) " # : * * ** # * 5 # * 5 ε , " * ) * . " # # # ) * / * * ! * # D # - * # " ! * # E " # " # " " ** " ε * * !#"$&%'() , " ) * " # " * " : 1 ? + # # * * - ) * ) / * # = * * # * , " = # # # # G , " # * # * , ) ) : " * ) # Cathode end denoted by color band Dimensions in inches .220 * * # * ) , * " ) # * # * # ) # ) * ) G " = = = ) * F ( " * ) G G G 4 ** * # * F * F ( ** " * ) = # * = ) * # - ** F " # / * * * * G F " ) # * * - * % / / * " * F " ? 9 # * # # ) ) - # 1 , .(' * " " # .085 .022 * : Figure I-6: The 1N914 Switching Diode Peak Reverse Voltage 75 V Average Forward Rectified Current 75 mA Peak Surge Current, 1 Second 500 mA Continuous Power Dissipation at 25°C 250 mW Operating Temperature Range -65 to 175°C Reverse Breakdown Voltage 100 V Static Reverse Current 25 nA Static Forward Voltage 1 V at 10 mA Capacitance 4 pF + + * * .(H , G RL F # " * * RL # & ) * ) & Ω 7 ) 6 ) * ) ) **? # " * # I % & 5 # ) " ) * " ) * ) * , , ** ) * * * F * * * .( ) (1 * G ) ! "