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Consider a solid conducting sphere inside a hollow conducting shell. The sphere

ID: 2134385 • Letter: C

Question

Consider a solid      conducting sphere inside a hollow conducting shell.


The sphere has a radius of a while the shell has an inner radius of b and an outer radius of c.  The sphere has a charge of +4Q on it while the shell has a charge of +6Q on it.

a.       DERIVE, starting with Gauss

Consider a solid conducting sphere inside a hollow conducting shell. The sphere has a radius of a while the shell has an inner radius of b and an outer radius of c. The sphere has a charge of +4Q on it while the shell has a charge of +6Q on it. DERIVE, starting with Gauss's law, an expression for the electric field a distance r away from a point charge. Use that expression find the magnitude of the electric field for r

Explanation / Answer

a) flux = q/e0

flux = E A = E 4 pi r^2

E = 1/4 pi e0 q/r^2


B) r<a, E = 0

a<r<b, E = 1/4 pi e0 4Q/r^2

b<r<c E = 0

r>c E = 1/4 pi e0 10 Q/r^2