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The RLC Circuit
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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.
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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 …
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
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).
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.
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.
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.
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.
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).
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.
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).
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