Advanced Physics A perfectly conducting hemisphere of radius a is placed on an infinitely large ground plane. A uniform field E.z is applied at infinity, as shown below. a) Find out the electric potential @(r) outside the hemisphere. (Hint: Define suitable coordinates and apply the Method of Images.) b) Derive the electric field E(r) outside the hemisphere. c) What is the surface charge density o ? d) What is the total charge on the hemisphere? 1 1 1 1 80 2 a