Consider the circuit of Figure P4.30 in which the switch has been closed for a long time prior to t = 0. Determine the values of v C ( t ) before t = 0 and a long time after t = 0. Also, determine the time constant after the switch opens and expressions for v c ( t ) . Sketch v c ( t ) to scale versus time for − 4 ≤ t ≤ 16 s . Figure P4.30
Consider the circuit of Figure P4.30 in which the switch has been closed for a long time prior to t = 0. Determine the values of v C ( t ) before t = 0 and a long time after t = 0. Also, determine the time constant after the switch opens and expressions for v c ( t ) . Sketch v c ( t ) to scale versus time for − 4 ≤ t ≤ 16 s . Figure P4.30
Solution Summary: The diagram shows the voltage across the capacitor v_C(t) before and after t=0, and the time constant for the circuit is 4s
Consider the circuit of Figure P4.30 in which the switch has been closed for a long time prior to t = 0. Determine the values of
v
C
(
t
)
before t = 0 and a long time after t = 0. Also, determine the time constant after the switch opens and expressions for
v
c
(
t
)
. Sketch
v
c
(
t
)
to scale versus time for
−
4
≤
t
≤
16
s
.
P4.30. Consider the circuit of Figure P4.30 in which the switch has been closed for a long time
prior to t=0. Determine the values of v C (t) before t=0 and a long time after t=0. Also,
determine the time constant after the switch opens and expressions for v C (t). Sketch v C (t)
to scale versus time for -4sts16 s.
2 MA
30 V
2 uF
I MO
Figure P4.30
For the circuit shown in Figure P4.29, the switch is closed for a long time prior to t=0.Find expressions for vC(t) and sketch it to scale for −80≤t≤160 ms.
P4.42. The switch shown in Figure P4.42 has been closed for a long time prior to t=0, then it
opens at t=0 and closes again at t=1 s. Find i L (t) for all t.
6H
121
Figure P4.42
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