t = 0 4V3 µF ®1 Black box +. 6V 6 µF 2

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The two series-connected capacitors shown are connected to the terminals of a black box at t=0. The resulting current i(t) for t>0 is known to be 20e−t μA.

a. Replace the original capacitors with an equivalent capacitor and find vo(t) for t≥0.

b. Find v1(t) for t≥0.

c. Find v2(t) for t≥0.

d. How much energy is delivered to the black box in the time interval 0≤t<∞?

e. How much energy was initially stored in the series capacitors?

f. How much energy is trapped in the ideal capacitors?

g. Show that the solutions for v1 and v2 agree with the answer obtained in (f).

t = 0
4V3 µF ®1
Black
box
+.
6V 6 µF 2
Transcribed Image Text:t = 0 4V3 µF ®1 Black box +. 6V 6 µF 2
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