A charge is uniformly distributed inside a spherical body of radius `r_(1) = 2 r_(0)` having a concetric cavity of radius `r_(2) = r_(0)` (`rho` is charge density inside the sphere). The potential of a point P at a distance `(3 r_0)/(2)` from the centre is

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

A sphere of radius 2R has a uniform charge density p. The difference in the electric potential at r = R and r = 0 from the centre is:

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distance R/4 from the centre of sphere. The gravitational force on mass m is

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

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 sphere of radius R contains charge density rho(r )=A (R-r ) , for 0 lt r lt R . The total electric charge inside the sphere is Q. The value of A in terms of Q and R is