A small sphere of radius `r_1` and charge `q_1` is enclosed by a spherical shell of radium `r_2` and charge `q_2`. Show that if `q_1` is positive , charge will neecessarily flow from the sphere to the shell ( when the two are connected by a wire ) no matter what the charge `q_2` on the shell is .

Explanation

Hint: By Gauss’s law, field between the sphere and the shell is determined by `q_(1)` alone. Hence, potential difference between the sphere and the shell is independent of `q_(2)`. If `q_(1)` is positive, this potential difference is always positive.