## Conducting Loop and Current-Carrying Wire

An infinite straight wire carries current I1 = A in the positive y-direction as shown. At time t = 0, a conducting wire, aligned with the y-direction is located a distance d = cm from the y-axis and moves with velocity v = cm/s in the negaitve x-direction as shown. The wire has length W = cm

1) What is ε(0), the emf induced in the moving wire at t = 0? Define the emf to be positive if the potential at point a is higher than that at point b.

2) What is ε(t1), the emf induced in the moving wire at t = t1 = s? Define the emf to be positive if the potential at point a is higher than that at point b.

3) The wire is now replaced by a conducting rectangular loop as shown. The loop has length L = cm and width W = cm. At time t = 0, the loop moves with velocity v (defined previously) with its left end located a distance d (defined previously) from the y-axis. The resistance of the loop is R = Ω. What is i(0), the induced current in the loop at time t = 0? Define the current to be positive if it flows in the counter-clockwise direction.

4) Suppose the loop now moves in the positive y-direction as shown. What is the direction of the induced current now?
The current flows counterclockwise
The current flows clockwise
There is no induced current now

5) Suppose now that the loop is rotated 90 degrees and moves with velocity v (defined previously) in the positive x-direction as shown. What is I2, the current in the infinite wire, if the induced current in the loop at the instant shown (d as previously defined) is the same as it was in the third part of this problem (i.e., when the left end of loop was at a distance d (defined previously) from the y-axis)?