Consider the circuit shown below for this problem. 10 ΚΩ 120 V + a VC 0, and the expression for the capacitor voltage for t≥ 0.

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Consider the circuit shown below for this problem.
10 ΚΩ
120 V
+
a
vc
cb12.5 ΚΩ
t=0
150 ΚΩΣ
40 nF
50 ΚΩ
Hint: Use this expression for this problem
vc(t) = vc (∞0) + [v(0+) − v(∞)]e
+
200 V
a) The switch in the circuit in the above figure has been in position a for a long time.
At t = 0, the switch moves instantaneously to position b and stays there. Find the
initial and final values of the capacitor voltage, the time constant for t≥ 0, and
the expression for the capacitor voltage for t ≥ 0.
b) Now suppose the switch in the circuit in same figure has been in position b for a
long time. At t=0, the switch moves instantaneously to position a and stays there.
Find the initial and final values of the capacitor voltage, the time constant for t >
0, and the expression for the capacitor voltage for t≥ 0.
Transcribed Image Text:Consider the circuit shown below for this problem. 10 ΚΩ 120 V + a vc cb12.5 ΚΩ t=0 150 ΚΩΣ 40 nF 50 ΚΩ Hint: Use this expression for this problem vc(t) = vc (∞0) + [v(0+) − v(∞)]e + 200 V a) The switch in the circuit in the above figure has been in position a for a long time. At t = 0, the switch moves instantaneously to position b and stays there. Find the initial and final values of the capacitor voltage, the time constant for t≥ 0, and the expression for the capacitor voltage for t ≥ 0. b) Now suppose the switch in the circuit in same figure has been in position b for a long time. At t=0, the switch moves instantaneously to position a and stays there. Find the initial and final values of the capacitor voltage, the time constant for t > 0, and the expression for the capacitor voltage for t≥ 0.
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