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Q#1 Transient Analysis GATE EE 1997 MCQ +2 marks -0 marks

In the circuit shown in figure. eg(t)=2.5t volts. What are the values of i(t) and VL(t) at t=4 seconds?

i(t) = 1.24 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 4.32 V

i(t) = 1.84 A and VL(t) = 4.32 V

i(t) = 2.84 A and VL(t) = 3.32 V

Explanation:

C:\Users\Ankit\Dropbox\GATE papers\EE papers\Solutions\network\Network 91-01\Network Images\43.jpg

Converting the circuit into laplace domain        

Using KVL,

By Partial Fraction,

Solving for A, B & C, we get   A = 1.25, B = -2.5, C = 2.5

Taking Inverse Laplace Transform

at t = 4sec,

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