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Question

A metallic sphere of radius 2 m is charged in air to a potential of 3000 V.  Calculate the energy stored in the sphere.


Solution

Given:––––––


r = radius of sphere = 2m


V = Potential of sphere = 3000V


The energy stored in the sphere will be, U = 12 CV2


where C capacitance of sphere

Thecapacitance of a sphere is,


C = 4πϵ0r


=19×109× 2 = 29×109F


Substituting this value in expression for U, we get,

U = 12CV2 = 12×29×(3000)2109


U = 103J

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