Solution: Two charged spherical conductors are connected by a long conducting wire. A total charge of q > 0 is placed on this combination of two spheres. Sphere 1 has a radius of r1 and sphere 2 has a radius

Two charged spherical conductors are connected by a long conducting wire. A total charge of q > 0 is placed on this combination of two spheres. Sphere 1 has a radius of r_{1} and sphere 2 has a radius of r_{2}, where r_{2} > r_{1}. If q_{1} represents the charge on sphere 1 and q _{2} the charge on sphere 2, what is the ratio q_{1} / q_{2} of the charges?

1. q_{1} / q_{2} = r_{2} / r_{1}

2. q_{1} / q_{2} = r_{1} / r_{1} + r_{2}

3. q_{1} / q_{2} = (r_{2} / r_{1})^{2}

4. q_{1} / q_{2} = r_{2} / r_{1} + r_{2}

5. None of these

6. q_{1} / q_{2} = 1

7. q_{1} / q_{2} = (r_{1} / r_{2})^{2}

8. q_{1} / q_{2} = r_{1} / r_{2}