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  4. 1000 small water drops each of capacitance C join together to form one large spherical drop. The capacitance of bigger sphere is

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Q. $1000$ small water drops each of capacitance $C$ join together to form one large spherical drop. The capacitance of bigger sphere is

Electrostatic Potential and Capacitance

Solution:

$C=4 \pi \varepsilon_{0} r$
$1000 \cdot \frac{4}{3} \pi r^{3}$
$=\frac{4}{3} \pi R^{3}$
$R=10 r$
$C'=4 \pi \varepsilon_{0} R $
$=10\left(4 \pi \varepsilon_{0} r\right)$
$C'=10\, C$