homework_13_forces_and_torques_on_currents

Homework: Forces and Torques on Currents

Loop Work

A wire formed in the shape of an equilateral triangle of side $d = 8.0 cm$, carries current $i = 0.25 A$. This loop is located in a region of space that contains a constant magnetic field of magnitude $B = 1.3 T$, aligned with the negative z-axis as shown in the diagram below.

What is [W_{I to II}], the work you would have to do to rotate the coil 180° from Position I to Position II? (Note, the coil is rotated out of the plane of the page, not simply spun in the plane)

[W_{I to II} =]

Loop Torque

A uniform magnetic field [B = 1.8 T] points in the [+x] direction. A square loop with sides of length [d = 20.0 cm, N=12.0 turns], and current [I = 0.85 A/turn] pivots without friction around a pin about the [z]-axis as shown in the figure below.(The [z]-axis points out of the page in the left hand panel.)

A mass M is hung from one side of the loop (C or D), and the loop is in equilibrium when it makes an angle of 30.0° with respect to the x-z plane. Determine the size of the mass. Enter a positive number if it is hung from C and a negative number if it is hung from D. M =