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Q#1
Transient Analysis
GATE EE 2016
NAT
+2 marks
-0 marks
In the circuit shown, switch
has been closed for a long time. At time t = 0 switch
is closed. At
, the rate of change of current through the inductor, in amperes per second, is _____________.

Explanation:
When \(S_1\) is open and \(S_2\) is closed, the circuit enters steady state so Inductor will be shorted. The system is shown below,

Current through inductor 
When switch
is closed at
then inductor
current at that instant will not change i.e.
It will be 1.5 A; it can be replaced by a current source at that instant.
Let V→ voltage at node A = voltage across inductor

KCL at A,





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