A spherical region of space has a distribution of charge such that the volume charge density varies with the radial distance from the centre r as `rho=rho_(0)r^(3),0<=r<=R` where `rho_(0)` is a positive constant. The total charge Q on sphere is

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R), where rho_0 is constant. Assume epsilon as theh permittivity of space. the maximum electric field intensity is

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R), where rho_0 is constant. Assume epsilon as theh permittivity of space. The magnitude of electric field as a function of the distance r inside the sphere is given by

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R ), where rho_0 is constant. Assume epsilon as theh permittivity of space. The magnitude of the electric field as a functiion of the distance r outside the balll is given by

A sphere of charges of radius R carries a positive charge whose volume chasrge density depends only on the distance r from the ball's centre as rho=rho_0(1-r/R) , where rho_0 is constant. Assume epsilon as theh permittivity of space. The value of distance r_m at which electric field intensity is maximum is given by

A dielectric cylinder of radius a is infinitely long. It is non-uniformly charged such that volume charge density rho varies directly as the distance from the cylinder. Calculate the electric field intensity due to it at a point located at a distance r from the axis of the cylinder. Given that rho is zero at the axis and it is equal to rho on the surface of cylinder. Also calculate the potential difference between the axis and the surface. [(rhor^(2))/(3in_(0)a),(rhoa^(2))/(9in_(0))]

A ball of radius R carries a positive charge whose volume charge depends only on the distance r from the ball's centre as: rho=rho_(0)(1-(r)/(R)) Where r_(0) is a constant. Take epsilon to be permittivit of the ball. Calculate the maximum electric field intensity at a point (inside or outside the ball) due to such a charge distribution.

In a spherical region the densiy varies inversely with the distance from ther centre Gravitational field at a distance r from the centre is .

An insulating solid sphere of the radius R is charged in a non - uniform manner such that the volume charge density rho=(A)/(r ) , where A is a positive constant and r is the distance from the centre. The potential difference between the centre and surface of the sphere is

A non-conducting spherical ball of radius R contains a spherically symmetric charge with volume charge density rho=kr^(2) where r is the distance form the centre of the ball and n is a constant what should be n such that the electric field inside the ball is directly proportional to square of distance from the centre?

For a spherically symmetrical charge distribution electric field at a distance r from the centre of sphere is vec(E)=kr^(2)hat(r) where k is a constant what will be the volume charge density at a distance r from the centre of sphere?