[7 pts.] As shown, a conducting spherical shell of outer radius 4.0 cm and inner

Question

[7 pts.] As shown, a conducting spherical shell of outer radius 4.0 cm and inner radius 2.0 cm has a charge of -2.0C placed on it. Inside the shell is a point charge of -3.0uC at a distance 1.0cm left of the center of the shell. After the charges reach equilibrium, what is the charge on the outer surface of the conducting shell, and how is it distributed? 3. -3 HC 2 cm 1 cm (a)-1.0 C, nonuniformly distributed over the outer surface. 4 cm (b) -2.0 uC, uniformly distributed over the outer surface. (c)-2.0 C, nonuniformly distributed over the outer surface. d)-5.0 C, uniformly distributed over the outer surface. (e)-5.0 C, nonuniformly distributed over the outer surface.

Explanation / Answer

for a conducting surfacae , all the charges will apppear only on the outer surface of the conductor. -3microC will induce eqivalent amount of positive charge on the inner surface and same amount of negative charge on the outer surface . hence on the outer surface , net charge will be -5micro coulomb.

again , surface of a conductor is always equipotential. hence density of charges on the surface will be same everywhere. correct answer is D

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