
CONTENTS
xv
13.6 Time Domain versus Frequency Domain Analysis using
Voltage-Divider Example ....................................................... 751
13.6.1 Frequency Domain Analysis ..................................... 751
13.6.2 Time Domain Analysis ............................................ 754
13.6.3 Comparing Time Domain and Frequency Domain
Analyses ................................................................ 756
13.7 Power and Energy in an Impedance ......................................... 757
13.7.1 Arbitrary Impedance ............................................... 758
13.7.2 Pure Resistance ....................................................... 760
13.7.3 Pure Reactance ....................................................... 761
13.7.4 Example: Power in an RC Circuit .............................. 763
13.8 Summary and Exercises ......................................................... 765
chapter 14 Sinusoidal Steady State: Resonance ....................... 777
14.1 Parallel RLC, Sinusoidal Response ........................................... 777
14.1.1 Homogeneous Solution ........................................... 778
14.1.2 Particular Solution .................................................. 780
14.1.3 Total Solution for the Parallel RLC Circuit .................. 781
14.2 Frequency Response for Resonant Systems ............................... 783
14.2.1 The Resonant Region of the Frequency Response .......... 792
14.3 Series RLC ........................................................................... 801
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14.4 The Bode Plot for Resonant Functions ..................................... 808
14.5 Filter Examples ..................................................................... 808
14.5.1 Band-pass Filter ...................................................... 809
14.5.2 Low-pass Filter ...................................................... 810
14.5.3 High-pass Filter ...................................................... 814
14.5.4 Notch Filter ........................................................... 815
14.6 Stored Energy in a Resonant Circuit ........................................ 816
14.7 Summary and Exercises ......................................................... 821
chapter 15 The Operational Amplifier Abstraction .................. 837
15.1 Introduction ........................................................................ 837
15.1.1 Historical Perspective ............................................... 838
15.2 Device Properties of the Operational Amplifier .......................... 839
15.2.1 The Op Amp Model ............................................... 839
15.3 Simple Op Amp Circuits ........................................................ 842
15.3.1 The Non-Inverting Op Amp ..................................... 842
15.3.2 A Second Example: The Inverting Connection ............. 844
15.3.3 Sensitivity .............................................................. 846
15.3.4 A Special Case: The Voltage Follower ......................... 847
15.3.5 An Additional Constraint: v
+
− v
−
0 ..................... 848
15.4 Input and Output Resistances ................................................. 849
15.4.1 Output Resistance, Inverting Op Amp ........................ 849