the switch in the circuit shown in fig. shown below has been open for a long tim

Question

the switch in the circuit shown in fig. shown below has been open for a long time. at t = 0 the switch is closed.

a) what is the initial value of IL
b) what is the final value of IL
c) what is the time constant of the circuit when the switch is open
d) what is the time constant of the circuit when the switch is closed
e) what is the expression for VL(t) fot t>0

The switch in the circuit shown shown below has been open open for a long time. At t a o the switch is closed. In a) What is the initial value of A. b) What is the final value of I. 20V c) What is the time constant of the circuit when the switch is open? d) What is the time constant of the circuit when the switch is closed? e) What is the expression for VL(t) fot t20? 80 mH

Explanation / Answer

A) at t=0- . inductor is short circuited. So IL(0-)= 20/4 = 5 amps. IL(0-)=IL(0+)=5 amps

B) At t=infinity inductor short circuited and resistor 3 is also short circuited so current flowing through inductor at infinity= 20/1=20 amps

C) time constant =L/R=80/4= 20 ms

D) time constant = L/R=80/1=80 ms

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