Spherical Shell

Shown in the figure a spherical shell with an inner radius 'a' and an outer radius 'b' is made of conducting metarial. A charge +Q is placed at the centre of the spherical shell and a total charge -q s placed on the shell. Charge -q is districuted on the surfaces as :

Three idential spherical shells each of mass m and radius r are placed as shown in Fig. Consider an axis XX' which is touching the two shells and passing through diameter of third shell. Moment of Inertia of the system consisting of these three spherical shells about XX' as axis is :

Both question (33) and (34) refer to the system of charges as shown in the figure. A spherical shell with an inner radius 'a' and an outer radius 'b' is made of conducting material. A point charge +Q is placed at the centre of the spherical shell and a total charge -q is placed on the shell. Assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance R(a lt R lt b) from the centre of the shell is

A spherical shell of radius R has two holes A and B through which a ring having charge +q passes through without touching the shell. The flux through spherical shell is (q)/(3epsilon_(0)) . Find the radius of the ring:

In a spherical capacitor,-we have two concentric spherical shells, the inner one carrying a charge Q and outer one carrying a charge of -Q . If the inner shell is displaced from the center without touching the outer shell :