Circuits, Devices, Networks, and Microelectronics INDEX 3dB corner 82 3dB reference level 39 AC magnitude 159 Admittance and Impedance 76, 80 Admittance definition 74 Ampere’s law 50 Apparent power 159 Average power 159 Balanced 3-phse systems 169 Band-pass bandwidth 90 Biquad all-pass profiles 89 Biquad band-pass profiles Biquad band-stop profiles 89 Biquad phase-shifters 89 Biquadratic characteristic denominator Biquadratic characteristic frequency Biquadratic transfer functions (biquads) Bode asymptote approximate form 86 Bode magnitude plot 80 Bode phase plot 80 Bode plot limit value analysis 87 Buffered opamp topologies 111 Capacitance 43 -48, 51 Capacitances in parallel 46 Capacitances in series 47 CCT (current-current transducer) 35 Charge redistribution 53 -54 Charge stored by capacitance 44 Charge stored under electric field 43 Complex plane 73, 84 -85 Complex power 158 Conductance 9 Conductivity 10 Core-loss shunt resistance 148 Coulombs 44, 48 Critical damping 63 Current divider 19 Current source 18, 64 89 88, 88 88 -94 1 Circuits, Devices, Networks, and Microelectronics Current stored under magnetic field CVT (current-voltage transducer) dB measure (amplitude measure ) dB measure (power ratios) 38 Decibel (dB measure) 38 Dependent sources 35 Device I-V measurement techniques Dielectric constant 44 Dielectric materials 43 Dielectric strength 44, 45 Diffamp topologies with opamps Differential amplifier 107 Differential topology 124 Digital-analog converter (DAC) Displacement filed D 49 Electric double-layer capacitance Electrical facts by decomposition Electrolytic capacitances Electronic charge 44 Energy density 43 Energy storage in an inductance Energy storage on a capacitance Energy stored in a transformer Energy stored on a capacitance Euler form 69, 73 Exponential transient response Faraday’s law 56 Farads 44 Feedback factor 108 Flux linkages 134 -144 Henrys 50 High-pass profiles 84, 88 Ideal lossless transformer 137 Impedance definition Incomplete flux coupling 146 Inductance 48 -51, 56, 132 Input resistance 36 Instrumentation amplifier (IA) Interior loops in mesh analysis Kirchoff current law 17, 77 Kirchoff voltage law 17, 77 k- mA convention 10 LaPlace transforms 84 Law of loops 17 43 35 38 114 119 112 -113 46 46 64 64 148 -149 47 52, 57 74 120 22 2 Circuits, Devices, Networks, and Microelectronics Law of nodes 17 LC characteristic frequency 0 95 LC characteristic resistance R0 95 LC time constant 59 Lead and lag relationships 73 Leakage inductance 147, 148 Line voltage 165, 169 Linear equation for mesh analysis 24 Linear equation for nodal analysis 24 Log-log frequency profiles 80 Lossless components 153 Low-pass profiles 81, 88, 93 Magnetic field intensity H 49, 131 Magnetic flux density B 48, 131 Magnetic flux 50, 134 Magnetizing inductance 147, 148 Magneto-motive force 50 Maximally flat 93 Maximum power efficiency theorem 30 Maximum power transfer theorem 29 Mesh analysis 22 Metglas 49 Miller integrator 122 Miller integrator, lossy 123 Multiport networks 34 Mutual inductance 135, 144 Negative (corrective) feedback 108 Nodal analysis 19, 77 -78 Nodes and branches 15 Non-ideal transformer 144 -148 Non-inverting integrator 126 Norator 109 Normalized damping coefficient 63, 94 Norton theorem 25-26, 33-34, 79 Norton-Thevenin equivalence 26 Nullator pinning 113 Nullator 109 Nullator-norator 107, 109 Ohm’s law 9,76 Opamp band-pass topology 124 -125 Operational amplifier characteristics 107 Operational amplifier, ideal 107 Output resistance 36 -37 Overdamped 63 3 Circuits, Devices, Networks, and Microelectronics Permeability of free space ` 49 Permeability 43, 49, 131 Permittivity of free space 44 Permittivity 43 Pf (power factor) specification 159 Phase shift 70, 72, 81, 84 Phase voltage 169 Phasors 155 -156 Poles and zeros 85 Potentiometer 15 Power dissipated in a resistance 28 Power factor and angles 162 Power factor 153 Power transfer ratio 37 Power triangle 160 Pseudocapacitance 46 Quadratic denominator, roots 93 - 94 Quadrature relationships 153 Quality factor Q 91, 92 R-2R (binary) feedback ladder 111 R-2R ladder 17, 111 RC time constant 52, 59, 80 Reactance definition 74 Reactive components 70 Reactive conductance (admittance) 72 Reactive power 159 Reactive resistance (impedance) 71 Reflected impedances (across a transformer) 138 Relative permeability 49 Relative permittivity of SiO2 45 Relative permittivity 44 Relative polarities of windings 136 Reluctance and inductance 50 Reluctance 50, 132 Resistance 9 Resistance in parallel 12 Resistances in series 13 Resistivity 10 Resonance peaking 91, 92 R-L time constant 56, 59, 80 RLC amplitude decay constants 61 RLC topologies 58 - 63 Rms amplitudes 154 Roll-off and profile order 93 4 Circuits, Devices, Networks, and Microelectronics Roll-off corner 80 Roll-off slope 80 Rotational speed 158 Rotor and Stator 164 Second-order profiles, RLC 94 -104 Self-inductance 135 Shortcut push principle for Nodal analysis 20 Signal division 37 Simple inverting topology 109 -110, 121 Simple non-inverting topology 109, 110, 121 Simple R-C transient networks 53 Simple R-L transient networks 57 Simusoidal analysis 69 -79 Single-time constant profile 80 Source absorption, techniques and context 32, 33 Space-time 69 s-plane 84 Step-down transformer 138 Step-up transformer 138 Step-up, step-down transformer pair 141 Summing point 115 Supercapacitances 46, 64 Superposition, principle of 31 -34 Susceptance definition 74 Symbolic decomposition of resistance ladders 14 Tee feedback networks 116 Tee-network of inductances 145 Teslas 49 Thevenin resistance 26 -27 Thevenin theroem 25 -26, 33 -34, 79 Thevenin voltage 26 Three-phase power 164 Time constants 52, 56, 59, 80 T-models of non-deal transformers 145 -146 Toroid 48 Transconductance 35 Transfer functions (transfer ratios) 35-36, 81, 83, 85 Transfer functions, quadratic 87 -92 Transfer functions, RLC parallel 98 -101 Transfer functions, RLC series 94 - 98, 103 -104 Transformer circuit symbols 138 Transformer constant 146, 147 Transformer coupling factor k 144, 145 Transformer polarity conventions 138 5 Circuits, Devices, Networks, and Microelectronics Transformer turns ratio 138 Transformer: Comprehensive non-ideal model 148 Transformer: Core-loss shunt resistance 148 Transformer: Leakage inductance 147, 148 Transformer: Magnetizing inductance 147, 148 Transient analysis 51 - 63 Transresistance 35 Two-port networks 34 -37 Underdamped 63 Unity-gain buffer 112 VCT (voltage-current transducer) 35 Virtual connection 108 Voltage divider 15 Voltage source 18, 64 Voltage transfer ratios 37 VVT (voltage-voltage transducer) 35 Webers 48, 131 Wye -Delta transformations 164 -166 6