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Questions  

An isolated copper sphere is charged and the electrostatic energy stored in it is 16µJ. An internal agent supplies some charge in the sphere so that its charge becomes doubled, then work done by the external agent is

a
24 µJ
b
32 µJ
c
48 µJ
d
36 µJ

detailed solution

Correct option is C

If initial charge on the sphere is Q, then Ui=Q22×4π∈oR where R = radius.Now, Uf=(2Q)22×4π∈oR=4Ui∴W=Uf-Ui=4Ui-Ui=3Ui=3×16 μJ=48 μJ

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