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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 _____________.

18.jpg

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,

D:\1Mayu\gate-14\Gate-2016\Diagrams\d-2\16.PNG

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

D:\1Mayu\gate-14\Gate-2016\Diagrams\d-2\17.PNG

KCL at A,

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