Surface area of Spherical Shell

Volume of Spherical Shell

A solid conducting sphere of radius a has a net positive charge 2Q . A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge -Q . The surface charge density on the inner and outer surfaces of the spherical shell will be

A positive charge Q is placed at the centre O of a thin metalic spherical shell. Select the correct statements from the following: (i) The electric field at any point outside the shell is zero (ii) The electrostatic potential at any point outside the shell is (Q)/(4 pi epsilon_(0) r) , where r is the distance of the point from O (iii) The outer surface of the spherical shell is an equipotential surface (iv) The electric field at any point inside the shell , other than O , is zero

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

A spherical shell is kept in an atmosphere at temperature T_(0) . The wavelength corresponding to maximum intensity of radiation for the shell is lambda_(0) . A point source of constant power is switched on inside the shell. The power radiated by the source is P = 04sigmaSeT_(0)^(4) where S, e and sigma are outer surface area of the shell, emissivity of the outer surface of the shell and Stefan’s constant respectively. Calculate the new wavelength (lambda) corresponding to the maximum intensity of radiation from the shell. Assume that change in temperature (DeltaT) of the shell is small compared to the ambient temperature T_(0) .

A body of mass m is placed at the centre of the spherical shell of radius R and mass M. The gravitation potential on the surface of the shell is

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 :

The outer diameter of a spherical shell is 12 cm and its inner diameter is 8 cm. Find the volume of metal contained in the shell. Also, find its outer surface area.