There is a spherical cavity inside uniformly charged sphere as shown.Then field inside cavity is

A positive charge q is placed in a spherical cavity made in a positively charged sphere. The centres of sphere and cavity are displaced by a small distance vec(l) . Force on charge q is :

A small metal sphere carrying charge +Q is located at the centre of a spherical cavity inside a large uncharged metallic spherical shell as shown in the figure. Use Gauss’s law to find the expressions for the electric field at points p_(1) and p_(2) . Also draw the pattern of electric field lines in this arrangement.

Positive charge is uniformly distrubuted with volume charge density rho of sphere of radius R. A spherical cavity is created in the sphere as shown in figure. This electric field intensity inside the cavity at point P is(where CP =R/5 , C_0 C = 2R/3 , radius of cavity is R/4, C_0 & C are centre of sphere & cavity respectively)

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

Inside a uniform spherical shell

Figure shows a spherical cavity inside a lead sphere. The surface of the cavity passes through the centre of the sphere and touches the right side of the sphere. The mass of the sphere before hollowing was M . With what gravitational force does the hollowed out lead sphere attract a particle of mass m that lies at a distance d from the centre of the lead sphere on the straight line connecting the centres of the spheres and of the cavity.

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

A unit positive point charge of mass m is projected with a velocity V inside the tunnel as shown. The tunnel has been made inside a uniformly charged nonconducting sphere. The minimum velocity with which the point charge should be projected such that it can reach the opposite end of the tunnel is equal to

A uniform solid of valume mass density rho and radius R is shown in figure. (a) Find the gravitational field at a point P inside the sphere at a distance r from the centre of the sphere. Represent the gravitational field vector vec(l) in terms of radius vector vec(r ) of point P. (b) Now a spherical cavity is made inside the solid sphere in such a way that the point P comes inside the cavity. The centre is at a distance a from the centre of solid sphere and point P is a distance of b from the centre of the cavity. Find the gravitational field vec(E ) at point P in vector formulationand interpret the result.

consider a neutral conducting sphere of radius a with a spherical cavity of radius b . A charged conducting sphere of radius c is placed in cavity . Centre of this sphere coincide with centre of cavity charge on the inner sphere is q total self energy of this arrangement is: