[" 68The electric field inside a sphere which carries a "],[" charge density proportional to the distance from "],[" the origin "rho=alpha" r "(alpha" is a constant) is "],[[" (a) "(alpha r^(3))/(4 varepsilon_(0))," (b) "(alpha r^(2))/(4 varepsilon_(0))],[" (c) "(alpha r^(2))/(3 varepsilon_(0))," (d) none of these "]]

the electric field inside a sphere which carries a charge density proportional to the distance from the origin p=alpha r ( alpha is a constant) is :

A sphere of radius R_(0 carries a volume charge density proportional to the distance (x) from the origin, rho=alpha x where alpha is a positive constant.The total charge in the sphere of radius R_(0) is

The electric field in a region is directed outward and is proportional to the distance r from the origin, Taking the electric potential at origin to be zero,

The electric field in a region is directed outward and is proportional to the distance r from the origin, Taking the electric potential at origin to be zero,

The electric field in a region is directed outward and is proportional to the distance r from the origin, Taking the electric potential at origin to be zero,

The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero

The electric field intensity at a point near a sphere of radius r and surface density of rho in a medium of dielectric constant K is

A Sphere of radius R_0 carries a volume charge density proportional to the distance (x) from the origin, rho=alphax where alpha is a positive constant. (a) Calculate the total charge in the sphere of radius R_0 . (b) The sphere is shaved off so as to reduce its radius. What should be the radius (R) of the remaining sphere so that it contains half the charge of the original sphere? (c) Find the electric field at a point inside the sphere at a distance r lt R. Give your answer for original sphere of radius R_0 as well as for the smaller sphere of radius R that was left after shaving off the original sphere.

A sphere of radius R carries charge density p proportional to the square of the distance from the centre such that p = Cr^(2) , where C is a positive constant. At a distance R // 2 from the centre, the magnitude of the electric field is :