# Gauss Law charge on spheres

## Homework Statement

Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge Q1 = -6Q deposited on it. The inner sphere is solid and has a charge Q2 = +1Q on it.

(a) How much charge is on the outer surface?
How much charge is on the inner surface?

(b) Suppose a wire is connected between the inner and outer spheres. Electrostatic equilibrium is established.
How much charge is on the outer surface of the outside sphere?
How much is on the inner surface?

(c) Suppose we return to the original conditions in (a), with +1Q on the inner sphere and -6Q on the outer. We now connect the outer sphere to ground with a wire and then disconnect it. How much total charge will be on the outer sphere?
How much charge will be on the inner surface of the outer sphere?
How much will be on the outer surface of this sphere?

## Homework Equations

∫EdA = Qinside/ɛo

## The Attempt at a Solution

Gauss's Law is very confusing, and I'm not quite sure I understand any of it. Any help appreciated. I know in part B that the inner shell has charge of 0.