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Question

For given circuit if switch S1,S2 and S3 are closed simultaneously at t = 0. Choose correct options.

A
Current through 4Ω is 52A at t =0.
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B
Current through 2Ω is OA at t =0.
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C
Time constant of circuit is 4μs.
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D
Current through 2Ω at t = 0 is not zero.
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Solution

The correct options are
A Current through 4Ω is 52A at t =0.
C Time constant of circuit is 4μs.
D Current through 2Ω at t = 0 is not zero.

By KLL
12=4i+2(ii) -(1)
10=4i+qc(2)
where i=dqdt(3)

By solving (1), (2) & (3) :
q=6C3(1e3t4c)& i=32e3t4c
At t=0, i=32
& By (1) =i=52 at t = 0

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