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A solid conducting sphere of radius a = 1.00 m has a negative charge of -Q = -3

ID: 1709129 • Letter: A

Question

A solid conducting sphere of radius a = 1.00 m has a negative charge of -Q = -3 µC. A conducting spherical shell of inner radius b = 3.00 m and outer radius c = 4.00 m is concentric with the solid sphere and has a positive charge of +3Q +9 µC.

a) What is the charge on the inner and outer surface of the conducting shell? Explain why you come to this conclusion.

b) Write down an expression for the electric field in terms of variables Q,q,k, and r for each region below. (Magnitude and direction) (k = 9x10^9 N m^2/c^2). Explain your reasoning. 1. r<a (inside the solid sphere) 2. a<r<b (in between the sphere and the shell) 3. b<r<c (inside the conducting shell) 4. r>c (outside the conducting shell)

Explanation / Answer

a) Gauss's law for the spherical surface which has the radius of r which is b
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