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Find an expression for the capacity of a...

Find an expression for the capacity of a metallic sphere.

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Consider a.spherical conductor of radius r with centre O.
Let q = Charge given to the. sphere which is supposed to be concentrated at O.
Let V= Potential at. any point on the surface of spherical conductor.
and `V =1/(4pi epsilon_(0)) q/r`
Capacitance of the spherical conductor `=C = q/V`

`C =q/(1/(4pi epsilon_(0)).q/r)`
`C = 4pi epsilon_(0)r`
`rArr` Capacitance of a spherical conductor is directly proportional to its radius.
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