What is μ_{x}, the x-component of the magnetic moment
vector of the loop?
What is μ_{y}, the y-component of the magnetic moment
vector of the loop?
What is τ_{z}, the z-component of the torque exerted on
the loop?
What is F_{bc}, the magnitude of the force exerted on
segment bc of the loop?.

A rectangular loop of wire with sides H 37 cm and W 74 cm is located in a region containing a constant magnetic field B-1.26 T that is aligned with the positive y-axis as shown. The loop carries current I 383 mA. The plane of the loop is inclined at an angle θ-360 with respect to the x-axis. t B aW I plan view side view

## Answer

x – component mu_x = I A_x = I A sin theta mu_k = (383 times 10^-3) (0.37) (0.74) (sin 36 degree) mu_x = 0.0616 A middot m^2 mu_y = IA_y = iA cos theta mu_y = (383 times 10^-3) (0.37) (0.24) (cos 36 degree) mu_y = 0.0848 A middot m^2 T = mu times B = -(383 times 10^-3) (0.37) (0.74) (1.26) sin 36 degree = -0.0777 N-m = -0.078 N-m F = Ilb on segment bc = (383 times 10^-3) (0.37) (0.74) = 0.105 N