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  4. In the circuit shown the cells A and B have negligible resistances. For VA = 12V, R1 = 500 Ω and R = 100 Ω the galvanometer (G) shows no deflection. The value of VB is :

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Q. In the circuit shown the cells $A$ and $B$ have negligible resistances. For $V_A = 12V,\, R_1 = 500\,\Omega$ and $R = 100\,\Omega$ the galvanometer $(G) $ shows no deflection. The value of $V_B$ is :Physics Question Image

VITEEEVITEEE 2018

Solution:

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 $ V_{B} IR-\frac{12}{600}\times100 = 2V$

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