A conducting rod of length L rotates at constant angular speed w about one end, in a plane perpendicular to uniform magnetic field B. (a.) Show that the potential difference between the ends of the rod is 1/2l^2Theta. (b) Let the angle Theta between the rotating rod and the dashed line be given by Theta=wt. Show that the area of the pie-shaped region swept out by the rod during time t is 1/2l^2theta. (c) Compute the flux through this area, and apply Faradays law to show that the motional emf is given by 1/2Bwl^2.