[Solved/EM-04002] Two charged spherical shells separated by large distance

Two spheres of conducting material have radii 1 cm and 10 cm and carry charge  \(100\) coul and \(1\) coul, respectively. The separation between the centers of the two spheres is 10 m.

1.  What is the potential of  each sphere?
2.  Find the charges on the two spheres, if the two spheres are connected by a fine wire.
3.  Are the values obtained by you exact or approximate(give reasons)?