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Question

# In the given circuit switch s is closed at t=0 after s is closed.

A
Direction and mangitude of current in 4Ω changes
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B
Time constant of circuit after closing switch is τ=8μ s
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C
Time constant of circuit after closing switch is τ=12μ s
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D
Current in 4Ω becomes zero at any instant
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Solution

## The correct options are A Direction and mangitude of current in 4Ω changes B Time constant of circuit after closing switch is τ=8μ s C Time constant of circuit after closing switch is τ=12μ s Before closing switch current in both resistance is i=2A clockwise After closing s, ⇒ By KVL, 15−2i1−qC=0 & 12=6i1−4i2 at t=0,q=0 hence, i1=7.5A & i2=−0.75A Time constant τ=CReq=6μF×43Ω=8μ s

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