Two metal rods rest on metallic rails as shown, in the presence of a uniform magnetic field out of the page of strength B = 2 T. The rods start at the dotted and are moved in opposite directions as shown: one rod moves left at a constant speed of 2 m/s while the other moves right at a constant speed of 1 m/s. Take area vectors as pointing out of the page. (a) Determine the magnetic flux through the area bounded by the rails and the rods when xL = 0.2 m and xR = 0.1 m. (b) Calculate the magnitude and direction (CW, CCW) of the induced voltage on the loop created by the rails and the rods when xL = 0.2 m and xR = 0.1 m. (c) At the moment described in part (b) the resistance of the loop is 0.1 Ω. Determine the magnetic force (magnitude and direction) on each of the rods.

Two metal rods rest on metallic rails as shown, in the presence of a uniform magnetic field out of the page of strength B = 2 T. The rods start at the dotted and are moved in opposite directions as shown: one rod moves left at a constant speed of 2 m/s while the other moves right at a constant speed of 1 m/s. Take area vectors as pointing out of the page. (a) Determine the magnetic flux through the area bounded by the rails and the rods when xL = 0.2 m and xR = 0.1 m. (b) Calculate the magnitude and direction (CW, CCW) of the induced voltage on the loop created by the rails and the rods when xL = 0.2 m and xR = 0.1 m. (c) At the moment described in part (b) the resistance of the loop is 0.1 Ω. Determine the magnetic force (magnitude and direction) on each of the rods.