Copyright 20 13 Dorling Kindersley (India) Pvt. Ltd

11. First-Order 
RC Circuits 
11.1
11.1 RC Circuit Equations 
11.1
11.2 Zero-Input Response of RC Circuit 
11.2
11.3 Zero-State Response of RC Circuits for Various Inputs 
11.4
11.3.1 Impulse Response of First-Order RC Circuits 
11.4
11.3.2 Step Response of First-Order RC Circuits 
11.6
11.3.3 Ramp Response of Series RC Circuit
11.8
11.3.4 Series RC Circuit with Real Exponential Input 
11.9
11.3.5 Zero-State Response of Parallel RC Circuit for Sinusoidal Input 
11.13
11.4 Periodic Steady-State in a Series RC Circuit 
11.16
11.5 Frequency Response of First Order RC Circuits 
11.17
11.5.1 The Use of Frequency Response 
11.18
11.5.2 Frequency Response and Linear Distortion 
11.19
11.5.3 First-Order RC Circuits as Averaging Circuits 
11.21
11.5.4 Capacitor as a Signal Coupling Element 
11.23
11.5.5 Parallel RC Circuit for Signal Bypassing 
11.26
11.6 Summary 
11.28
11.7 Problems 
11.29
12. Series and Parallel 
RLC Circuits 
12.1
12.1 The Series RLC Circuit – Zero-Input Response 
12.2
12.1.1 Source-Free Response of Series RLC Circuit 
12.3
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Contents
 
 
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12.2 The Series LC Circuit – A Special Case 
12.9
12.3 The Series LC Circuit with Small Damping – Another Special Case 
12.13
12.4 Standard Formats for Second-Order Circuit Zero-Input Response
12.17
12.5 Impulse Response of Series RLC Circuit 
12.19
12.6 Step Response of Series RLC Circuit 
12.20
12.7 Standard Time-Domain Specifications for Second-Order Circuits 
12.21
12.8 Examples on Impulse and Step Response of Series RLC Circuits 
12.23
12.9 Frequency Response of Series RLC Circuit 
12.26
12.9.1 Sinusoidal Forced-Response from Differential Equation 
12.26
12.9.2 Frequency Response from Phasor Equivalent Circuit 
12.27
12.10 Resonance in Series RLC Circuit 
12.28
12.10.1 The Voltage Across Resistor – The Band-pass Output 
12.28
12.10.2 The Voltage Across Capacitor – The Low-pass Output 
12.31
12.10.3 The Voltage Across Inductor – The High-Pass Output 
12.33
12.10.4 Bandwidth Versus Quality Factor of Series RLC Circuit
12.34
12.10.5 Quality Factor of Inductor and Capacitor 
12.36
12.10.6 LC Circuit as an Averaging Filter 
12.39
12.11 The Parallel RLC Circuit 
12.43
12.11.1 Zero-Input Response and Zero-State Response of Parallel RLC Circuit 12.44
12.11.2 Frequency Response of Parallel RLC Circuit
12.49
12.12 Summary 
12.52
12.13 Problems 
12.54