[" 10.Find the electric field strength vector at the centre of a ball of radius R with volume density "rho=ar],[" where a is a constant vector,and "r" is a radius vector drawn from the ball's centre."],[" [ANS: "E=-1/6aR_(2)/ varepsilon_(0)]]

Find the electric field strength vector at the centre of a ball of raiduius R with volume charge density rho implies ar , where a is a constant vector, and r is a radius vector drawn from the ball's centre.

Find the electric field strength vector if the potentail of this field has the form varphi = ar , where is a constatn vector, and r is the radius vector of point of the field.

A system consists of a ball of radius R carrying a uniformly distributed charge q and the surrounding space filled with a charge of volume density rho = alpha//r , where alpha is a constant and r is the distance from the centre of the ball. Find the charge on the ball for which the magnitude of electric field strength outside the ball is constant? The dielectric constant of the ball and the surrounding may be taken equal to unity.

A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is

The electrostatic potential inside a charged spherical ball is given by phi=ar^2+b where r is the distance from the centre, a, b are constants.

There is a hemisphere of radius R having a uniform volume charge density rho . Find the electric potential and field at the centre

The linear charge density on a ring of radius R is lambda=lambda_0 sin (theta) where lambda_0 is a constant and theta is angle of radius vector of any point on the ring with x-axis. The electric potential at centre of ring is

The linear charge density on a ring of radius R is lambda=lambda_0 sin (theta) where lambda_0 is a constant and theta is angle of radius vector of any point on the ring with x-axis. The electric potential at centre of ring is

Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be