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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

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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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