A uniformly charged ball of radius a and charge -Q is at the center of a hollow metal shell with inner radius b and outer radius c. The hollow sphere has a net charge +2Q.
Part A
Determine the electric field strength in the region r ≤ a.
Give your answer as a multiple of Q/ε0.
Express your answer in terms of some or all of the variables a, b, c, r, and the constant π.
Part B
Determine the electric field strength in the region a < r < b.
Give your answer as a multiple of Q/ε0.
Express your answer in terms of some or all of the variables a, b, c, r, and the constant π.
Part C
Determine the electric field strength in the region b < r < c.
Give your answer as a multiple of Q/ε0.
Express your answer in terms of some or all of the variables a, b, c, r, and the constant π.
Part D
Determine the electric field strength in the region c < r.
Give your answer as a multiple of Q/ε0.