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A horizontal uniform magnetic field of magnitude 0.5 T is oriented at an angle o

ID: 1285766 • Letter: A

Question

A horizontal uniform magnetic field of magnitude 0.5 T is oriented at an angle of = 65° relative to a line perpendicular to plane of a vertical, rectangular loop, as indicated in the figure. The loop has a height of 8 cm and a width of 15 cm. Each of the 1000 turns of wire in the loop carries a current of 0.23 A counterclockwise around it.

b.) Find the net magnetic force (size & direction) on the loop.

Fnet = ?

c.) Find the net magnetic torque (size & direction) experienced by the loop when it is initially released as shown above.

Tnet = ?

Please show work on the answers. Thank you!

A horizontal uniform magnetic field of magnitude 0.5 T is oriented at an angle of = 65 degree relative to a line perpendicular to plane of a vertical, rectangular loop, as indicated in the figure. The loop has a height of 8 cm and a width of 15 cm. Each of the 1000 turns of wire in the loop carries a current of 0.23 A counterclockwise around it. b.) Find the net magnetic force (size & direction) on the loop. Fnet = ? c.) Find the net magnetic torque (size & direction) experienced by the loop when it is initially released as shown above. Tnet = ? Please show work on the answers. Thank you!

Explanation / Answer

Fnet = N*2*I*L*B*sin25 = (1000*2*0.23*0.15*0.5*sin25) = 14.5 N

v) Tnet = N*B*I*A*cos65 = 1000*0.5*0.23*0.08*0.15*cos65 = 0.58 NM

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