5. Consider the diagram below which shows a large, neutral conducting plate placed near a small, positive charge +q. The x and y axis are indicated by the dashed lines with the origin at O.
a. Draw a diagram showing the distribution of induced charges on the plate and the excess charges on the sphere. Draw in the electric field lines between the neutral plate and the positively charged sphere.
b. What is the magnitude of the electric field at point P with coordinates (0, d) on the right-hand surface of the plate if the coordinates of the center of the sphere is (r, 0) and the total charge on the sphere is +q? (Hint: search “image charge” for a clue on to how to do this problem.)
