A charge `q` is distributed uniformly over the volume of a ball of radius `R`. Assuming the permittivity to be equal to unity, find :
(a) the electrostatic self-energy of the ball,
(b) the ratio of the energy `W_(1)` stored in the ball to the energy `W_(s)` pervadinting the surrounding space.

Q charge is distributed uniformly through the volume of a sphere of radius R, The energy of the system will be—

A charge q is uniformly distributed over the volume of a shpere of radius R . Assuming the permittively to be equal to unity throughout, find the potential (a) at the centre of the sphere, (b) inside the sphere as a function of the distance r from its centre.

A ball of radius R carries a positive charge whose volume density depends according only on a separation r from the ball's centre as rho = rho_(0) (1 - r//R) , where rho_(0) is a constant. Asumming the permittivites of the ball and the enviroment to be equal to unity find : (a) the magnitude of the electric field strength as a function of the distance r both inside and outside the ball : (b) the maximum intensity E_(max) and the corresponding distance r _(m) .

A charge Q coulomb is uniformly distributed over a sphere volume of radius R metres. Obtain an expression for the energy of the system.

A charge Q coulomb is uniformly distributed over a sphere volume of radius R metres. What will be the expression for the energy of the system.

A charge q is unifromly distributed over the volume of a unifrom ball of mass m and radius R which rotates with an angular velocity omega about the axis passing through its centre. Find the respective magnetic moment and its ratio to the mechanical moment.

A charge Q is uniformly distributed inside a non- conducting sphere of radius R . Find the electric potential energy stored in the system.

A ball of radius R carries a positive charges whose volume density at a point is given as rho=rho_(0)(1-r//R) , Where rho_(0) is a constant and r is the distance of the point from the center. Assume the permittivities of the ball and the enviroment to be equal to unity. (a) Find the magnitude of the electric field strength as a function of the distance r both inside and outside the ball. (b) Find the maximum intensity E_("max") and the corresponding distance r_(m) .