9. . A closed loop is constructed of a fixed U-shaped wire and a conducting crossbar free to move in the x direction, all in the xy-plane. The closed loop is at x = 0. A magnetic field oriented in the z direction varies with x according to B = Cx. It's zero at x = 0. Suppose that the movable crossbar is pulled at a constant speed v to the right from x = 0 when t = 0. Its position at any time is x = vt. If the resistance of the loop varies with the total length L according to R = aL, where a is some constant coefficient. a. What is the flux through the loop as a function of time? (2) b. What is the induced emf in the loop as a function of time? (2) c. What is the induced current in the loop as a function of time? (2)