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Questions  

In the circuit shown in figure, switch S is closed at time t = 0. find the current through the cell at any time t.

 

a
V9R+VRetCR
b
V9R+V27Ret3RC
c
4V27RetCR
d
VR+V27Ret3RC

detailed solution

Correct option is B

Current in the branch of capacitor at any instant is IC=dqdt=CV3et/3RC13RC=V9Ret/3RC

Let I be the current through the cell at any instant ‘t’.

 Applying KVL to the loop ABEFA,

 I(6R)+Ic(R)+qCV=0

I(6R)+V9Ret/3RC(R)+1C×CV31et/3RCV=0

I(6R)=V119et/3RC131et/3RC

I=V6R113+et/3RC1319

I=V6R23+29et/3RC=V9R+V27Ret3RC

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