GATE EE 2015 Set 2 — Question 28
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Electric Circuits → Network Elements & Sources → First-Order RL & RC
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Question
A series RL circuit is excited at by closing a switch as shown in the figure. Assuming zero initial conditions, the value of at is
Correct answer
(D) (-RV)/(L²)
Solution
The KVL equation for the circuit is .
At , the current through the inductor cannot change instantaneously, so .
Substituting this into the KVL equation at :
.
Differentiating the KVL equation with respect to time:
.
At :
.
At , the current through the inductor cannot change instantaneously, so .
Substituting this into the KVL equation at :
.
Differentiating the KVL equation with respect to time:
.
At :
.
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