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Question

A network consisting of three resistors, three batteries, and a capacitor is shown in the figure


Column IColumn II(A)Current in branch EB is(P)10 μC(B)Current in branch CB is(Q)0.5 μC(C)Current in branch ED is(R)1.5 μC(D)Charge on capacitor is(S)5 μC(T)7.5 μC
Which of the following option has the correct combination considering column - I and Column - II.

A
AQ
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B
BS
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C
CR
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D
DP
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Solution

The correct option is D DP
AR;BQ;CQ;DP
When a steady state is reached, no current passes through the capacitor or the branch CE.


Considering the loop ABEFA
5×(i1+i2)=10 or i1+i2=2 A...(1)
Considering the loop BCDEB,
4i2=1210=2i2=0.5 A
So, i1=20.5=1.5 A
To find the charge on capacitors, we must know potential difference across the plates.
Consider the loop CEDC:
12+4i2+3×0vc+8=0
vc=2 V .
Potential difference across capacitor is 2 V
So, the charge on capacitor Q=CV=10 μC

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