The Source-Free Series RLC Circuit The circuit of Fig. 9.21a is constructed with a 160 mF capacitor and a 250 mH inductor. Determine the value of R needed to obtain (a) a critically damped response; (b) a "just barely" underdamped response. (c) Compare your answers to parts (a) and (b) if the circuit was a parallel RLC circuit. "C (a) (b) FIGURE 9.21 (a) The series RLC circuit which is the dual of (b) a parallel RLC circuit. Element values are, of course, not identical in the two circuits.

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The Source-Free Series RLC Circuit
The circuit of Fig. 9.21a is constructed with a 160 mF capacitor and a 250 mH
inductor. Determine the value of R needed to obtain (a) a critically damped
response; (b) a "just barely" underdamped response. (c) Compare your answers
to parts (a) and (b) if the circuit was a parallel RLC circuit.
R
VC +
(a)
L
+
VL
+
V
(b)
FIGURE 9.21 (a) The series RLC circuit which is the
dual of (b) a parallel RLC circuit. Element values are, of
course, not identical in the two circuits.
Transcribed Image Text:The Source-Free Series RLC Circuit The circuit of Fig. 9.21a is constructed with a 160 mF capacitor and a 250 mH inductor. Determine the value of R needed to obtain (a) a critically damped response; (b) a "just barely" underdamped response. (c) Compare your answers to parts (a) and (b) if the circuit was a parallel RLC circuit. R VC + (a) L + VL + V (b) FIGURE 9.21 (a) The series RLC circuit which is the dual of (b) a parallel RLC circuit. Element values are, of course, not identical in the two circuits.
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