There are three concentric conducting spherical shells. All of them are charged. The innermost sphere is connected by a conducting wire to the outermost sphere. Prove that the final charge on the innermost sphere is independent of the initial charge of outermost sphere.

Charged Conducting Sphere

A conducting sphere of radius r has a charge . Then .

When two spheres carrying same charge but a different radii are connected by a conducting wire, the charge flows from smaller sphere to large sphere. Smaller sphere is at high potential when equal charges are imparted to both the spheres.

A conducting sphere of radius R carries a charge Q. It is enclosed by another concentric spherical shell of radius 2R. Charge from the inner sphere is transferred in infinitesimally small installments to the outer sphere. Calculate the work done in transferring the entire charge from the inner sphere to the outer one.

Conisder a neutral conducting sphere. A poistive point charge is placed outisde the sphere. The net charge on the sphere is then

Statement-1 : If two concentric conducing sphere which are connected by a conducting wire. No charge can exist on inner sphere. Statement-2: When charge on outer sphere will exist then potential of inner shell and outer shell will be same.