Posted by Mrs. A on Thursday, July 8, 2010 at 12:15am.
"Electrostatic equilibrium" means the charges are not moving around. There is zero E-field inside the conductors.
The -6uC charge of the conducting sphere resides entirely at its surface, evenly distributed.
Gauss' law and the equilibrium requirement tells you that there can be no net charge inside a conducting spherical surface that passes between the inner and outer surfaces of the outer shell. That means there must be +6uC on the inner surface.
In order to have a net charge of 1 uC, there must be a charge of -5uC on the outer surface of the conducting shell.
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