Consider two conducting spheres of radii `R_(1) and R_(2)` with `R_(1) gt R_(2)`. If the two are at the same potential, the larger sphere has more charge than the smaller sphere. State whetehr the charge density of the smaller sphere is more or less than that of the larger oe.

Explanation

Since, the two spheres are at the same potential, therefore ltbr `(kq_(1))/(R_(1))=(kq_(2))/(R_(2))implies(kq_(1)R_(1))/(4piR_1^(2))=(kq_(2)R_(2))/(4piR_(2)^(2))`.
or `sigma_(1)R_(1)=sigma_(1)R_(1)=sigma_(2)R_(2)implies(sigma_(1))/(sigma_(2))=(R_(2))/(R_(1))`
`R_(2) gt R_(1)`
This imply that `sigma_(1) gt sigma_(2)`
The charge density of the smaller sphere is more than that of the larger one.