Problem 6 (30 points) Three polarizing sheets with parallel planes are centered on a common axis, as shown below. The polarizing axes of the first, second, and third sheets are respectively oriented at angles 0, = 10, 02 = 40, and 0, with respect to the vertical. The incident beam is unpolarized and has intensity I, = 600 W/m2, while the transmitted beam has intensity I, = 135 W/m2. (a) Determine 0,. (12 points) (b) Calculate the intensity of the beam, as well as the amplitude of its magnetic field, after it passes through the second sheet (but before it reaches the third sheet). (10 points) (c) Suppose the beam in part (b) is cylindrical in shape, and has length 30 cm and diameter 5.0 mm. Find the total energy contained in this beam. (The volume of a cylinder is Jr L.) (8 points)