In the circuit shown below, the capacitor is initially charged with +36 μC on the upper plate and –36 μC on the lower plate, it has a capacitance of C=2μF, and Switch A is open. Switch A is then closed.a) Find the current I1 immediately after Switch A is closed.b)Find the amount of time it takes the current to be reduced by a factor of 1/e. That is, after how much time is the current I1 37% of its initial value? Switch A+QoC= 2 µFR1-QoR1 = 2 2R2 = 4 2R2Qo = 36 µC

The capacitor discharging equation is given by Io=(V/R) e-t/RC R = R1+R2 = 2+4 = 6 ohm

Answered: Switch A +Qo C = 2 µF R1 = 2 2 R1 -Qo…

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Switch A +Qo C = 2 µF R1 = 2 2 R1 -Qo R2 = 4 2 %3D R2 Qo = 36 µC %3D

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Direct-current Circuits

Section: Chapter Questions

Problem 28.21P: Consider the circuit shown in Figure P28.21 on page 860. (a) Find the voltage across the 3.00-0...

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Question

In the circuit shown below, the capacitor is initially charged with +36 μC on the upper plate and –36 μC on the lower plate, it has a capacitance of C=2μF, and Switch A is open. Switch A is then closed.

a) Find the current I₁ immediately after Switch A is closed.

b)Find the amount of time it takes the current to be reduced by a factor of 1/e. That is, after how much time is the current I₁ 37% of its initial value?

Switch A
+Qo
C= 2 µF
R1
-Qo
R1 = 2 2
R2 = 4 2
R2
Qo = 36 µC

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