A system consists of a ball of radius R carrying a spheri- cally charge and a surrounding space filled with a charge of volume density p = where a is a constant and r is the distance from the centre of the ball. Find the charge on the ball for which the magnitude of electric field strength is electric field strength? The dielectric constant of ball and surrounding may be taken equal to unity.

A system consists of a ball of radius R carrying a spheri- cally charge and a surrounding space filled with a charge of volume density p = where a is a constant and r is the distance from the centre of the ball. Find the charge on the ball for which the magnitude of electric field strength is electric field strength? The dielectric constant of ball and surrounding may be taken equal to unity.