A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise cur

Question

A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.240 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0 A.

(a) Find the force on each side of the loop.

(b) Find the magnitude of the torque acting on the loop.
N · m

Explanation / Answer

a) force F = i*L*B*sin(90) = i*L*B

B = mu_o*n*I = (4*3.142*10^-7*3000*0.24) =9.04*10^-4 T

F = 0.24*0.02*9.04*10^-4 = 4.33*10^-6 N = 4.33 uN

direction is away from the center

b) T = B*i*A*N = 9.04*10^-4*0.24*0.02^2*1 = 8.67*10^-8 N-m

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