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Chapter 9 The RLC Circuit Engineering Circuit Analysis Sixth Edition W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin Copyright © 2002 McGraw-Hill, Inc. All.

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Presentation on theme: "Chapter 9 The RLC Circuit Engineering Circuit Analysis Sixth Edition W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin Copyright © 2002 McGraw-Hill, Inc. All."— Presentation transcript:

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2 Chapter 9 The RLC Circuit Engineering Circuit Analysis Sixth Edition W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin Copyright © 2002 McGraw-Hill, Inc. All Rights Reserved. User Note: Run View Show under the Slide Show menu to enable slide selection. Fig. 9.1 The source-free parallel RLC circuit. Fig. 9.3 Circuit from Example 9.1. Fig. 9.5 An example overdamped response. Fig. 9.6 An example critically damped circuit. Fig. 9.8 (and Fig. 9.9) Underdamped response examples. Fig. 9.10 Simulated overdamped, critically damped, and … Fig. 9.11 Circuit from Example 9.2. Fig. 9.15 (a) The series RLC circuit which is the dual … Fig. 9.18 An RLC circuit that is used to illustrate several …

3 Fig. 9.1 The source-free parallel RLC circuit. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. The source-free parallel RLC circuit. i(0 + ) = I 0 v(0 + ) = V 0

4 Fig. 9.3 Circuit from Example 9.1. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. Find v C (t) for the circuit of (a).

5 Fig. 9.5 An example overdamped response. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. The response v(t) = 84(e -t – e -6t ) of the parallel network shown.

6 Fig. 9.6 An example critically damped circuit. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. The critically damped response v(t) = 420e -2.45t of the network shown.

7 Fig. 9.8, 9.9 Underdamped response examples. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. The underdamped response of the network shown. The response of the network for three different resistance values, showing an increase in the magnitude of oscillation.

8 Fig. 9.10 Simulated overdamped, critically damped, and underdamped voltage response for the example network. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. Simulated overdamped, critically damped, and underdamped voltage response for a parallel RLC network with L = 7 H and C = 1/42 F.

9 Fig. 9.11 Circuit from Example 9.2. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. Determine i L (t) for the circuit shown in (a).

10 Fig. 9.15 (a) The series RLC circuit which is the dual of (b) a parallel RLC circuit. W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. ( a) The series RLC circuit which is the dual of (b) a parallel RLC circuit. The element values are, of course, not identical in the two circuits.

11 Fig. 9.18 An RLC circuit that is used to illustrate several procedures by which the initial conditions may be obtained. The desired response is nominally taken to be v C (t). W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition. Copyright ©2002 McGraw-Hill. All rights reserved. An RLC circuit that is used to illustrate several procedures by which the initial conditions may be obtained. The desired response is nominally taken to be v C (t).


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