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A wire is bent in the form of an equila...

A wire is bent in the form of an equilateral triangle PQR of side 10 cm and carries a current of 5.0 A. It is placed in a magnetic field B of magnitude 2.0 T directed perpendicularly to the plane of the loop. Find the forces on the three sides of the triangle.

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Suppose the field and the current have directions as shows in figure. The force on PQ is `vecF_1 = I vec l xx vec B ` or `F_1 = 5.0 A xx 10 cm xx 2.0 T = 1.0 N.` The rule of vector product shows that the force `F_1` is perpendicular to PQ and is directed towards the inside of the triangle. The forces `vecF_1 , vecF_2, and vecF_3` will have zero resultant, so that there is no net magnetic force on the triangle. This result can be generalised. Any closed current loop, placed in a homogeneous magnetic field, dose not experience a net magnetic force.
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