Question

Problem 9:   A rod AB with length L = 0.105 m is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude B = 0.85 T. The rod is moving to the right with speed v = 0.52 m/s. The resistance on AB is R = 120 Ω.

Part (a) Express the change of the magnetic flux going through the loop 1, ΔΦ₁, in terms of B, v, L and Δt.
  10% Part (b) Express the magnitude of the average emf induced in loop 1, ε₁, in terms of B, L and v.
  10% Part (c) Calculate the numerical value of ε₁, in volts.
  10% Part (d) What’s the direction of the current induced by ε₁?
  10% Part (e) Express the change of the magnetic flux going through the loop 2, ΔΦ₂, in terms of B, v, L and Δt.
  10% Part (f) Express the magnitude of the emf induced in loop 2, ε₂, in terms of B, L and v.
  10% Part (g) Calculate the numerical value of ε₂, in volts.
  10% Part (h) What’s the direction of the current induced by ε₂?
  10% Part (i) Express the current on AB, I, in terms of ε₁ and R.

  10% Part (j) Calculate the numerical value of I in A.

Answer 1