Electrical and Computer Engineering Homework Solutions
Problem
#5503

To find the inductor current in a switched circuit a long time after the switch is open.

A security alarm for an office building door is modeled by the circuit shown. The switch represents the door interlock, and V is the alarm indicator voltage. Find the current through the inductor, iL(t), for t>0. The switch has been closed for a long time at t=0.

This was actually a problem posted by one of the students and I provided the solution. This is just a detailed solution (step-by-step) to the same problem.


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My answer in “BOLD”

A security alarm for an office building door is modeled by the circuit
shown. The switch represents the door interlock, and V is the alarm
indicator voltage. Find the current through the inductor, iL(t), for
t>0. The switch has been closed for a long time at t=0.

A) 2 A

B) 2e(-t/24) A

C) 2e(-24t) A

D) 4e(-24t)
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