An electrically neutral Morgan silver dollar is placed in a uniform electric field of magnitude E=6.3e5 N/C . The field is oriented perpendicular to the faces of the dollar coin, as shown, with the field pointing away from the ‘heads' side of the coin and into the ‘tails' side of the coin.
(a) Use Gauss' Law to find the approximate charge density on each face of the coin. You may assume that the two faces of the coin are perfectly flat.
(b) What is the total charge on the ‘heads' face of the silver dollar? Since the silver dollar is a U.S. coin, its dimensions are in imperial units with a diameter of d=1.5 inches