A conductor in electrostatic equilibrium contains a cavity in whichthere are two

Question

A conductor in electrostatic equilibrium contains a cavity in whichthere are two point charges: q1 = +3 µC andq2 = -13 µC. Theconductor itself carries a net charge -4 µC. (a) How much charge is on the inner surface ofthe conductor?
Enter anumber. 1 µC
(b) How much charge is on the outer surface of the conductor?
Enter anumber. 2 µC (a) How much charge is on the inner surface ofthe conductor?
Enter anumber. 1 µC
(b) How much charge is on the outer surface of the conductor?
Enter anumber. 2 µC Enter anumber. Enter anumber.

Explanation / Answer

Gauss' Law = Q / 0 where Q isthe charge enclosed by a Gaussian surface. There can be no E-field within the conductor (or flux )or a current would flow within the conductor. So a Gaussian surface within the conductor itself can containno net charge. The net charge on the inner surface of the conductor is 1) Q = - (q1 + q2) = +10C     (the charge induced byq1 and q2) 2) If the net charge on the conductor is -4 C then thecharge on the outer surface must be -14 C     since the inner surface carries a charge of+10 C

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