Chapter 9 The RLC Circuit Engineering Circuit Analysis Sixth Edition W.H. Hayt, Jr., J.E. Kemmerly,...

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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 Rights Reserved. User Note: Run V iew Show under the Slid e 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 …

Transcript of Chapter 9 The RLC Circuit Engineering Circuit Analysis Sixth Edition W.H. Hayt, Jr., J.E. Kemmerly,...

Page 1: 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.

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 …

Page 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.

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.

0 )( - 1

0

0

dt

dvCtitvd

LR

v t

t

i(0+) = I0

v(0+) = V0

0 1

1

2

2

Ldt

dv

R

dt

vdC

Page 3: 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.

W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.

Copyright ©2002 McGraw-Hill. All rights reserved.

Find vC(t) for the circuit of (a).

Page 4: 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.

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.

Page 5: 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.

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.

Page 6: 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.

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.

Page 7: 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.

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.

Page 8: 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.

W.H. Hayt, Jr., J.E. Kemmerly, S.M. Durbin, Engineering Circuit Analysis, Sixth Edition.

Copyright ©2002 McGraw-Hill. All rights reserved.

Determine iL(t) for the circuit shown in (a).

Page 9: 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.

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.

Page 10: 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.

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 vC(t).