please provide work. thanks! A rectangular loop consists of 100 closely wrapped

Question

please provide work. thanks!

A rectangular loop consists of 100 closely wrapped turns and has dimensions 0.40 m by 0.30 m. The loop is hinged along the y-axis, and the plane of the coil makes an angle of 30.0degree with the x-axis (as shown in the figure to the right). What is the magnitude of the torque exerted on the loop by a uniform magnetic field of 0.80 Teslas directed along the x-axis when the current in the windings has a value of 1.2 A in the direction shown in the figure. What is the expected direction of rotation?

Explanation / Answer

torque = u x B, where u is the magnetic dipole moment and B is the magnetic field vector

u = I*A (current * area)

u x B = u*B*Sin(theta)

current = 1.2 amp

u = current x area = 1.2 x (0.40x0.30)= 0.144

torque = u x B= 0.144 x 0.80 sin(30)

=0.0576

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