Electric Potential due to a charged conductor

[maiad]

Homework Statement

Two charged spherical conductors are connected by a long conducting wire, and a charge of 22.0 µC is placed on the combination. If the first sphere has a radius of 4.49 cm and the second has a radius of 5.68 cm, what is the electric field near the surface of each sphere? Enter the field for the first one first.

The Attempt at a Solution

from what i know, the system should be in electrostatic equilibrium meaning the electric potential would be the same on both spheres but then you have two variables which are the charges on each individual sphere

 

[ehild]

You do know the potential at distance r of a charged spherical conductor?

The spheres are far apart, they can be considered as separate spheres. Write up the potential at the surface of both spheres in terms of their charge.. The potential are the same, the sum of charges is given. This gives you a system of equations for the charges.

ehild