Answered: t = 0 R = 200 kN C2 5 μF i(t) 20 μ…

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Electrical Engineering

t = 0 R = 200 kN C2 5 μF i(t) 20 μ Figure P4.18

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter12: Electronic Control Devices

Section: Chapter Questions

Problem 3RQ: Diodes and rectifiers allow current to _________. flow in one direction only flow in both...

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Question

Consider the circuit shown in Figure P4.18. Prior to t=0, v 1 =100 V, and v 2 =0.
a. Immediately after the switch is closed, what is the value of the current [i.e., what is the
value of i( 0+ ) ]?
b. Write the KVL equation for the circuit in terms of the current and initial voltages. Take the
derivative to obtain a differential equation.
c. What is the value of the time constant in this circuit?
d. Find an expression for the current as a function of time.
e. Find the value that v2 approaches as t becomes very large.

t = 0
R = 200 kN
C2
5 μF
i(t)
20 μ
Figure P4.18

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