Question

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

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

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