Spherical CapacitorPublished on 24/2/2012 and last updated on 15/8/2018
Now as per definition, the surface potential of this sphere will be Since, as per definition, capacitance C = Q/V So, it is proved that the capacitance of a conducting sphere is directly proportional to it’s radium and also to the permittivity of the medium in which the sphere is placed.
Now, let us consider two concentric spheres of radius r1 and r2 respectively. The inner sphere is connected with positive terminal of a battery and outer sphere is connected with negative terminal of the battery. For that there will be Q charge is accumulated in the system. Now, according to the definition, the surface potential of inner sphere is And surface potential of other sphere is