A solid, conducting sphere of radius a carries an excess charge of +6 µC. This s

Question

A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at the center of a hollow, conducting sphere with an inner radius of b and an outer radius of c as shown. The hollow sphere also carries a total excess charge of +6 µC. a)Determine the excess charge on the inner surface of the outer sphere ( a distance b from the center of the system). b)Determine the excess charge on the outer surface of the outer sphere ( a distance c from the center of the system).

Explanation / Answer

a) The charge on the inner surfeace of the hollow sphere is the sum of the induced charges due to solid conducting sphere and charge on the outer surface of the sphere. Now the charge on the solid sphere induces a charge of -6µC on the inner surface of hollow spehre . And the charge on the outer sphere also induces a charge of -6µC on the innere surface of the hollow sphere . Hence the net charge on the inner surface of the sphere is -6µC+(-6µC) = -12µC b) The charge on the solid sphere induces a charge of +6µC on the outer surface of the sphere . and already it has a charge of +6µC on it . So the total charge on the outer surface of the hollow sphere is +6µC+6µC = +12µC

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