A long wire on the x-axis carries 25 A of current to the right. A rectangular loop (0.70 m wide and 0.80 m height) of 36 gauge copper wire in the x-y plane begins with its center at a location of 0.45 meters directly above the wire. The loop moves in the positive y direction at a constant speed of 0.20 m/s for 5.0 seconds.

Calculate and graph the magnetic flux through the loop as a function of vertical position of the center of the loop. The area vector should be assumed to be on a positive axis.

Calculate and graph the magnetic flux through the loop as a function of time.

Calculate and graph the induced emf in the loop as a function of time.

Calculate and graph the induced current in the loop as a function of time. Use the convention that clockwise currents are negative and counter-clockwise currents are positive.

Hint: the magnetic field is not constant over the entire area of the loop. If you treat the magnetic field as fixed over the entire area, you will certainly lose a great deal of credit on this problem.