1 The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-25' µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(t) for t 2 0. b) Find v,(1) for t z 0. c) Find v(1) for t 2 0. d) How much energy is delivered to the black box in the time interval 0 si<∞? e) How much energy was initially stored in the series capacitors? f) How much energyis trapped in the ideal capacitors? g) Show that the solutions for v, and vz agree with

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6.31 The two series-connected capacitors in Fig. P6.31
are connected to the terminals of a black box at
t = 0. The resulting current i(t) for t > 0 is known
to be 800e-251 µA.
a) Replace the original capacitors with an equiva-
lent capacitor and find v,(1) for t 2 0.
b) Find v;(1) for t 2 0.
c) Find vz(1) for t 2 0.
d) How much energy is delivered to the black box
in the time interval 0 si < o0?
e) How much energy was initially stored in the
series capacitors?
f) How much energyis trapped in the ideal capacitors?
g) Show that the solutions for v, and vz agree with
the answer obtained in (f).
Figure P6.31
i(1)
5V
Black
box
+
25 V8 µF
+
Transcribed Image Text:6.31 The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-251 µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(1) for t 2 0. b) Find v;(1) for t 2 0. c) Find vz(1) for t 2 0. d) How much energy is delivered to the black box in the time interval 0 si < o0? e) How much energy was initially stored in the series capacitors? f) How much energyis trapped in the ideal capacitors? g) Show that the solutions for v, and vz agree with the answer obtained in (f). Figure P6.31 i(1) 5V Black box + 25 V8 µF +
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