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Is it possible for a metal sphere of rad...

Is it possible for a metal sphere of radius 1 cm to hold a charge of 1C ?

Text Solution

Verified by Experts

Radius, r = 1 cm = 0.01 m
So, capacitance of the sphere,
`C = 4pi in_0 r =(1)/(9 xx 10^(9))xx0.01 = (1)/(9)xx 10^(-11)F`
Potential of the sphere, `V = (Q)/(C )= (1)/((1)/(9)xx 10^(-11)) = 9 xx 10^(11)V`
At very high potential, the sphere will discharge in the surrounding air,i.e., it will not be able to hold the charge of 1C.
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