1.

Q amount of electric charge is present on thesurface of a sphere having radius R. Calculate the total energy of the system.

Answer»

`(kQ^(2))/(R)`
`(1)/(2) (kQ^(2))/(R)`
`(kQ^(2))/(R^(2))`
`(1)/(2) (kQ^(2))/(R^(2))`

SOLUTION :When there is no CHARGE on the sphere `V_((0))` =0 and Q charge on sphere electric potential `V_((Q))= (kQ)/(R)`
`:.` AVERAGE electric potential V
`= (V_(0)+V_(Q))/(2) = (kQ)/(2R)`
`:.` Potential energy `U = VQ = (kQ^(2))/(2R)`


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