Question

A perfectly conducting spherical shell has an inner radius a and an outer radius b as shown below. The region r< a is hollow. The entire shell has a net charge of Q IC] on it because it has been stuck by lightning. Determine the electric field vector in all three regions: r<a, a< r b, and r > b. Determine the surface charge densities po and po on the two metal surfaces. Explain how this problem illustrates the Faraday cage effect. PEC

Answer 1

Given that, A perfectly conducting spherical shell has an inner radius a and an outer radius b. The reason r < a is hallow The entire shell has a charge = Q[c] Find: Determine the electric field vector in all three regions: r Vertical-bar < a, a < r < b, and r > b Determine the surface charges densities rho_s0^a & rho_s0^b on the two metal surfaces when we place + 2Q charge -2 * Q charge induces on innerface of the inner sphere and + 3Q induces on outer surface of the inner sphere. sigma A = Charge/area = -2Q/(u * pi * rn^^2) \r\n -3Q charge induces on inner surface of the outer sphere and + Q charge induces on outer surface of the outer sphere. sigma C = -3Q/(u * pi * rc^^z) sigma D = + Q/(u * pi * rD^^z) Let Q is the total charge distributed uniformly through out the volume at a point inside (r < R)