A non-conducting solid sphere of radius R, has a uniform charge density. The graph representing variation of magnitude of electric field (E) as a function of distance (x) from the centre of the sphere is

A conducting sphere of radius r has a charge . Then .

Which graph best represents the variation of electric potential as a function of distance from the centre of a uniformly charged solid sphere of charge of radius R ?

Two non-conducting solid spheres of radii R and 2R, having uniform volume charge densities rho_1 and rho_2 respectively, touch each other. The net electric field at a distance 2R from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio rho_1/rho_2 can be

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric filed due to the sphere at a distance r from its centre

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

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)

An insulating solid sphere of radius R has a uniformly positive charge density rho . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero. Statement-1: When a charge 'q' is taken from the centre to the surface of the sphere, its potential energy changes by (qrho)/(3 in_(0)) Statement-2 : The electric field at a distance r (r lt R) from the centre of the the sphere is (rho r)/(3in_(0))

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

A solid insulating sphere of radius R has a nonuniform charge density that varies with r according to the expression rho = Ar^2 , where A is a constant and rltR is measured from the centre of the sphere. Show that (a) the magnitude of the electric field outside (rgtR) the sphere is E = AR^5//5epsilon_0r^2 and (b) the magnitude of the electric field inside (rltR) the sphere is E = Ar^3//5epsilon_0 .

There is a solid sphere of radius R having uniformly distributed charge throughout it. What is the relation between electric field E and distance r from the centre (r is less than R) ?