1. a) An electron of charge e is placed a unit perpendicular distance in the vacuum region 2 ;> 0 above the plane 2 = 0 at the point (0,0,1). The region 2 e; U is a perfect conductor and the boundary 2 = U is held at zero potential. Calculate the electric field intensityr and charge density throughout all space. [7\"] [Hint apply the method of images and Maxwell's equation V. D : p] b) What is the total charge in this configuration? [3]