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An isolated conduction sphere sphere who...

An isolated conduction sphere sphere whose radius `R=1` m has a charge `q=1/9nC.` The energy density at the surface of the sphere is

A

`epsilon_0/2 J//m^3`

B

`epsilon_0J//m^3`

C

`2epsilon_0J//m^3`

D

`epsilon_0//3Jm^3`

Text Solution

Verified by Experts

The correct Answer is:
A
`U=1/2epsilon_0E^2=1/2epsilon_0(1/(4piepsilon_0)q/R^2)^2`
`=1/2epsilon_0[(9xx10^9xx1/9xx10^-9)/((1)^2)]^2=epsilon_0/2J//m^3`
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