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A Numerical from electrostatics

TIM posted:

Treat the sphere as a solid non-conducting sphere of radius R=6000 km with uniform charge Q=4000 C. The sphere has a conducting spherical shell. The shell has inner radius r1= 6005 km, outer radius r2= 6010 km and zero net charge. Assume gravity is negligible for all parts of this problem.
a) How much charge is on the inner and outer surfaces of the shell layer?
b) What is the potential difference deltaV between the base of the shell and the sphere?

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