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Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed.

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Presentation on theme: "Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed."— Presentation transcript:

1 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Chapter 9 The Complete Response of Circuits with Two Energy Storage Elements

2 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.1-1 An automobile airbag ignition device.

3 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.2-1 Electrical system.

4 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.2-2 Marconi with the receiving apparatus used at Signal Hill, 1901. Courtesy of the IEEE Center for the History of Electrical Engineering.

5 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.3-1 An RLC circuit with a current source.

6 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.3-2 An RLC series circuit.

7 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.3-3 Circuit with two inductors

8 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.3-4 Circuit for Example 9.3-1.

9 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.3-5 The RLC circuit for Example 9.3-2.

10 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-1

11 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-2

12 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-3

13 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.4-1 Oliver Heaviside (1850–1925). Photograph courtesy of the Institution of Electrical Engineers.

14 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.4-2 Circuit of Example 9.4-1.

15 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.4-1

16 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.4-2

17 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.5-1 Parallel RLC circuit.

18 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.5-2 Response of the RLC circuit of Example 9.5-1.

19 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.5-2 Smoke detector.

20 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.6-1 Critically damped response of the parallel RLC circuit.

21 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.7-1 Natural response of the underdamped parallel RLC circuit.

22 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.8-1 Circuit for Examples 9.8-1 and 9.8-2.

23 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.8-2 Parallel RLC circuit in steady state for a constant input.

24 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.9-1 Circuit of example 9.9-1.

25 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.9-2 Circuit of Example 9.9-1 at t  0 .

26 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.9-1

27 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.9-2

28 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.10-1 Circuit with two energy storage elements.

29 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.10-2 Circuit of Example 9.10-1.

30 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.10-3 Circuit with three energy storage elements.

31 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.10-1

32 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.11-1 The complete s-plane showing the location of the two roots, s 1 and s 2, of the characteristic equation in the left-hand portion of the s-plane. The roots are designated by the  symbol.

33 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.11-1

34 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-1 The RLC series circuit.

35 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-2 The PSpice program for the RLC series circuit

36 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-3 The PROBE output for the unforced RLC series circuit.

37 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-4 The RLC circuit of Example 9.10-1 redrawn for PSpice for t  0 with a current source input.

38 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-5 The PSpice program for the RLC circuit with an exponential input current waveform.

39 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.12-6 The response of the RLC circuit to a current source input.

40 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.13-1 An RLC circuit (b) excited by a square wave (a).

41 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.13-2 PSpice plot of the inductor current, i(t), for the circuit shown in Figure 9.13-1.

42 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.14-1 An automobile airbag ignition device.

43 Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure 9.14-2 The response of the RLC circuit.


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