A sphere of radius R carries charge density p proportional to the square of the distance from the centre such that `p = Cr^(2)`, where C is a positive constant. At a distance R`//`2 from the centre, the magnitude of the electric field is :

A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of R//2 from the centre?

A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of R//2 from the centre?

A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is

A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre is

The potential at a distance R//2 from the centre of a conducting sphere of radius R will be

the electric field inside a sphere which carries a charge density proportional to the distance from the origin p=alpha r ( alpha is a constant) is :

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre