In the circuit shown in figure, initially the terminals A and P are connected together to charge 4μF capacitor. Then battery is disconnected, and the terminals P and B are connected together. Then the ratio of final charge and initial charge on 4μF capacitor is:

Question

In the circuit shown in figure, initially the terminals A and P are connected together to charge 4μF capacitor. Then battery is disconnected, and the terminals P and B are connected together. Then the ratio of final charge and initial charge on 4μF capacitor is: <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-fclktmafidi3okwl.jpg" /> (A) 2/3 (B) 3/4 (C) 4/5 (D) (5/6)

Tardigrade Admin · Accepted Answer

Let charge on 4Î¼F capacitor when switch in position A is Q Charge on 4Î¼F capacitor after switch is shifted to position B is Q' Q'=(4/4 + 2)Q=(2 Q/3) ratio =(2 Q / 3/Q)=(2/3)

Q. In the circuit shown in figure, initially the terminals $A$ and $P$ are connected together to charge $4 μ F$ capacitor. Then battery is disconnected, and the terminals $P$ and $B$ are connected together. Then the ratio of final charge and initial charge on $4 μ F$ capacitor is:

$2/3$

$3/4$

$4/5$

$\frac{5}{6}$

Let charge on $4 μ F$ capacitor when switch in position $A$ is $Q$
Charge on $4 μ F$ capacitor after switch is shifted to position $B$ is $Q^{'}$
$Q^{^{'}} = \frac{4}{4 + 2} Q = \frac{2 Q}{3}$
ratio $= \frac{2 Q /3}{Q} = \frac{2}{3}$

Q. In the circuit shown in figure, initially the terminals A and P are connected together to charge 4μF capacitor. Then battery is disconnected, and the terminals P and B are connected together. Then the ratio of final charge and initial charge on 4μF capacitor is:

2/3

3/4

4/5

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