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  4. 64 identical drops of mercury are charged simultaneously to the same potential of 10 volt. Assuming the drops to be spherical, if all the charged drops are made to combine to form one large drop, then its potential will be

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Q. $64$ identical drops of mercury are charged simultaneously to the same potential of $10$ volt. Assuming the drops to be spherical, if all the charged drops are made to combine to form one large drop, then its potential will be

Electrostatic Potential and Capacitance

Solution:

$V=\frac{(64 q)}{4 \pi \varepsilon_{0} R}=\frac{64 q}{4 \pi \varepsilon_{0}(4 r)}$
$=16\left(\frac{q}{4 \pi \varepsilon_{0} r}\right)=16 \times 10=160 \,V$