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In the circuit shown the cells $A$ and $B$ have negligibleresistances. For $V_{A}=12 \mathrm{~V}, R_{1}=500 \Omega$ and $R=100 \Omega$ the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is :

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The correct answer is:
$2 \mathrm{~V}$

Since deflection in galvanometer is zero so current will flow as shown in the above diagram.
current, $I=\frac{V_{A}}{R_{1}+R}=\frac{12}{500+100}=\frac{12}{600}$
So $\quad V_{B}=I R=\frac{12}{600} \times 100=2 V$
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