Two charged spherical conductors of radii R1 and R2 when connected by a conducting wire acquire charges q1 and q2 respectively. Find the ratio of their surface charge densities in terms of their radii.
The surface charge density for a spherical conductor is given by:
For spherical conductor R1, the surface charge density is given by:
Similarly, for spherical conductor R2, the surface charge density is given by:
Since the two conductors are connected, we have: