Q. 30: A hollow spherical conductor of radius R has acharge Q on it. A small dent on the surface decreases thevolume of the spherical conductor by 2%. Assume that thecharge density on the surface does not change due to thedent and the electric field in the dent region remains sameas other points on the surface.(a) AE is the electrostatic energy stored in the electricfield in the shallow dent region and E is the totalelectrostatic energy of the spherical shell. Find theΔΕratioE(b) Using the ratio obtained in part (a) calculate thepercentage change in capacitance of the sphere dueto the dent.

The radius of the spherical conductor is given as, R. The charge on the spherical conductor is given…

Answered: Q. 30: A hollow spherical conductor of…

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