Conducting Loop and Current-Carrying Wire

An infinite straight wire carries current I1 = 5.8 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 = 51 cm from the y-axis and moves with velocity v = 19 cm/s in the negative x-direction as shown. The wire has length W = 24 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 = 1.8 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 = 48 cm and width W = 24 cm. At time t = 0, the loop moves with velocity v = 19 cm/s with its left end located a distance d = 51 cm from the y-axis. The resistance of the loop is R = 1.2 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?

5) Suppose now that the loop is rotated 90^o and moves with velocity v = 19 cm/s 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 = 51 cm) 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 = 51 cm from the y-axis)?

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genius_generous answered 2 years ago

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