2) The orange rectangular loop shown in the figure lies on z = 0 and is bounded by x = 1 cm and x = 3 cm, and y = 2 cm and y = 5 cm. The object can rotate around the rotation axis of y = 3.5 cm, z = 0. If external magnetic flux density is given as B = -3x ax + 5y ay – (2z+1) az, a) Find the total magnetic force on the rectangular loop 30 mA in vector form by indicating unit vectors. rotation axis b) Find the torque on the rectangle loop caused only from left and right edges of the rectangle in vector form by indicating unit vectors. c) Do you think total torque on the rectangle loop by taking all edges into calculation is equal to the torque that you have calculated in part b)? Just make qualitative explanations for your reasoning/answer. Be careful that T # m × B for this question since B is not constant over the rectangle loop.

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2) The orange rectangular loop shown in the figure lies
on z = 0 and is bounded by x = 1 cm and x = 3 cm, and
y = 2 cm and y = 5 cm. The object can rotate around the
rotation axis of y = 3.5 cm, z = 0. If external magnetic
flux density is given as B = -3x ax + 5y ay – (2z+1) az,
a) Find the total magnetic force on the rectangular loop
30 mA
in vector form by indicating unit vectors.
rotation
axis
b) Find the torque on the rectangle loop caused only from left and right edges of the rectangle
in vector form by indicating unit vectors.
c) Do you think total torque on the rectangle loop by taking all edges into calculation is equal
to the torque that you have calculated in part b)? Just make qualitative explanations for your
reasoning/answer.
Be careful that T # m × B for this question since B is not constant over the rectangle loop.
Transcribed Image Text:2) The orange rectangular loop shown in the figure lies on z = 0 and is bounded by x = 1 cm and x = 3 cm, and y = 2 cm and y = 5 cm. The object can rotate around the rotation axis of y = 3.5 cm, z = 0. If external magnetic flux density is given as B = -3x ax + 5y ay – (2z+1) az, a) Find the total magnetic force on the rectangular loop 30 mA in vector form by indicating unit vectors. rotation axis b) Find the torque on the rectangle loop caused only from left and right edges of the rectangle in vector form by indicating unit vectors. c) Do you think total torque on the rectangle loop by taking all edges into calculation is equal to the torque that you have calculated in part b)? Just make qualitative explanations for your reasoning/answer. Be careful that T # m × B for this question since B is not constant over the rectangle loop.
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