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If we assume shape of earth be solid spherical.

Then, the volume of earth$=4/3πR_{3}$

where R is radius of earth.

Given, volume of earth$=V=4/3πR_{3}$

surface area of earth$=A=4πR_{2}$

So, $V/A=(4/3R_{3})/4πR_{2}$

or $V/A=R/3$

or, $R=3V/A$

Now, capacitance of earth$=4π∈_{0}R$

$=4π∈_{0}A3V $

$=A12π∈_{0}V $.

Solve any question of Electrostatic Potential and Capacitance with:-

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