Question

A conducting loop is made in the form of two squares of sides s1 = 2.5cm and s2 = 6.7 cm as shown. At time t = 0, the loop enters a region of length L = 16.7 cm that contains a uniform magnetic field B = 1.1 T, directed in the positive z-direction. The loop continues through the region with constant speed v = 42 cm/s. The resistance of the loop is R = 2.7 Ω.

1)

At time t = t₁ = 0.02 s, what is I₁, the induced current in the loop? I₁ is defined to be positive if it is in the counterclockwise direction.

2)

At time t = t₂ = 0.51 s, what is I₂, the induced current in the loop? I₂ is defined to be positive if it is in the counterclockwise direction.

3)

What is F_x(t₂), the x-component of the force that must be applied to the loop to maintain its constant velocity v = 42 cm/s at t = t₂ = 0.51 s?

4)

At time t = t₃ = 0.417 s, what is I₃, the induced current in the loop? I₃ is defined to be positive if it is in the counterclockwise direction.

Answer 1