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Question

In the circuit shown, capacitor is initially uncharged the switch is turned on at t=0. Then,


Correct Answer
A
At t=0, current supplied by battery is 4 mA
Correct Answer
B
At t=0, current in R3 is 2 mA
Correct Answer
C
In the steady state, current supplied by battery is 3 mA
Correct Answer
D
In the steady state, current in R3 is zero

Solution

The correct options are
A At t=0, current supplied by battery is 4 mA
B At t=0, current in R3 is 2 mA
C In the steady state, current supplied by battery is 3 mA
D In the steady state, current in R3 is zero
At t=0, uncharged capacitor has zero potential difference (acts as a conducting wire).

Therefore, equivalent resistance in the circuit will be
Req=3 KΩ
So, current supplied by the battery,
i1=12 V3 KΩ=4 mA
The current is divided equally in parallel resistors of equal resistances, therefore 
i2=i3=i12=2 mA
Now, in steady state, capacitor does not allow current flow, so

i1=i2=12 V4 KΩ=3 mA and i3=0

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