A shere of radius a is uniformaly charged thoughout its volume with a volume change density of `sigma.` Calculate the electeric field at a distance r form the centre of the sphere when` (i) rlt a(ii) when r gt a.`

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

A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be

An isolated solid metal sphere of radius R is given an electric charge. The variation of the intensity of the electric field with the distance r from the centre of the sphere is best shown by

An insulated sphere of radius r haas a uniform volume charge density lambda . The electric field at a point A , which is at distance r from its centre is given by (R gt r)

A solid sphere of radius R is charged uniformly through out the volume. At what distance from its surface is the electric potential 1/4 of the potential at the centre?

A solid non conducting sphere of radius R has a non-uniform charge distribution of volume charge density, rho=rho_(0)r/R , where rho_(0) is a constant and r is the distance from the centre of the sphere. Show that : (i) the total charge on the sphere is Q=pirho_(0)R^(3) (ii) the electric field inside the sphere has a magnitude given by, E=(KQr^(2))/R^(4)

A charge +Q , is uniformaly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r form the centre of the spehre where : (i) 0 lt r lt R and (ii) r gt R