Solveeit Logo
Login

Question

Question: A charge Q is given to a spherical shell of radius R, the work done to distribute charge Q on the su...

A charge Q is given to a spherical shell of radius R, the work done to distribute charge Q on the surface of sphere is –

A

Q28πε0R\frac{Q^{2}}{8\pi\varepsilon_{0}R}

B

Q24πε0R\frac{Q^{2}}{4\pi\varepsilon_{0}R}

C

Q215πε0R\frac{Q^{2}}{15\pi\varepsilon_{0}R}

D

None of these

Answer

Q28πε0R\frac{Q^{2}}{8\pi\varepsilon_{0}R}

Explanation

Solution

Work done = self electric potential energy of system = Q28πε0R\frac{Q^{2}}{8\pi\varepsilon_{0}R}