A non-conducting spherical ball of radius R contains a spherically symmetric charge with volume charge density ρ=krn, where r is the distance from the centre of the ball and n is a constant. What should be n such that the electric field inside the ball is directly proportional to the square of distance from the centre?

A non-conducting spherical ball of radius R contains a spherically sym

1.	A non-conducting spherical ball of radius R contains a spherically symmetric charge with volume charge density ρ=krn, where r is the distance from the centre of the ball and n is a constant. What should be n such that the electric field inside the ball is directly proportional to the square of distance from the centre?
Answer» A non-conducting spherical ball of radius $R$ contains a spherically symmetric charge with volume charge density $ρ = k r^{n}$ , where $r$ is the distance from the centre of the ball and $n$ is a constant. What should be $n$ such that the electric field inside the ball is directly proportional to the square of distance from the centre?

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