Aconstant current i circulates counterclockwise around a wire loop in the shape of a triangle, lying in x-y plane, with vertices at the points (0, 0, 0), (a, 0, 0), and (0,a,0). show that the total force on the loop is zero in the presence of a constant magnetic field b = bo(z).
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Ответ:
Considering a triangle like the one of the figures, you can obtain the total magnetic force applied on it like the addition of the forces applied to each of the 3 sides.
Been the magnetic force formula:
For each segment:
Segment 1 (from [0,0,0] to [a,0,0]):
Segment 2 (from [a,0,0] to [0,a,0]):
Segment 3 (From [0,a,0] to [0,0,0]):
Total force on the wire loop:
Ответ: