A spherical conductor consist of all the spherical plates inside it.
Basically the spherical conductors consist of hollow spherical conductor plates having some radius, surrounded by any another sphere. In this case we have chosen two spheres to clarify its structure i.e. Sphere A and sphere B. Sphere A is having a radius r a and sphere B having radius r b . Positive charge is given to the inner and outer surface of the conductor A.
So B will get induced negative charge on its inner surface and positive charge on its outer surface. We have done earthing of the outer surface of conductor B , so it will be discharged means all the positive charge will go into earth.
Electric field inside the conductor A is Zero according to the phenomenon of Electrostatic shielding.
So E=0 , for r < r a . So electric field outside the plate B will be also Zero.
If E=0 and r > r b theb the electric field present between the two plates will be directed outwards as shown in the figure below:
The above diagram is of the spherical plate present inside a conductor.
The electric potential of the above sphere A is shown below:-
But the sphere B which is the outer one is grounded so its potential becomes zero.
If we find the potential difference between both the spheres A and B, then
