3. (13 Points) As shown in the figure, the rod and the rails form a conducting loop on a horizontal plane. The rod has resistance 0.554 O; the rest of the loop has negligible resistance. The rod of length L = 12.7 cm moves at a constant speed v = 5.46 m/s on along the rails, starting at the right end of the rails at t = 0. A long straight wire carrying a current of i = 112 A is x x. 2 1: x x y placed at distance a = 1.12 cm from the loop. , X y x , x . , Find the magnitude of the magnetic field due to the current on the wire, x x h: :~; aJx expressed as a function of distance from the wire. To receive the full 1T credit, you need to start with a basic law to obtain your result. ' ' Find the magnetic flux through the loop at a time t. ' ' Find the magnitude of the induced EMF and the current. State the . c 0 direction of the current. I. ' 3" How much the magnetic force acts on the rod? Calculate the magnitude and state the direction. How much work is done by an external force per second for the rod to move at the constant speed? How is your answer here related to your answer to Part d)? How much is the thermal energy (heat) produced per second in the rod? 1