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  4. In the adjoining figure the potential difference between X and Y is 60 V. The potential difference the points M and N will be

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Q. In the adjoining figure the potential difference between $X$ and $Y$ is $60\,V$. The potential difference the points $M$ and $N$ will bePhysics Question Image

WBJEEWBJEE 2012Electrostatic Potential and Capacitance

Solution:

Capacitors in series
$2 C_{1} \times V_{1}=C \times V_{2}$
$2 V_{1}=V_{2}$ ...(i)
and $V_{1}+V_{2}+V_{1}=60$ ...(ii)
Solving Eqs. (i) and (ii), we get
$V_{2}=30\, V$