A circular loop of wire with radius of 1.0 m lies in the xy plane. A uniform 1.0 T external magnetic field is directed along the z axis. The wire is a conductor, and carries current of 1.0 Amperes. What is the tension (or compression) in the wire due to the external field?
The loop may be divided into a large number of small length
elements. When a current I is passed through the loop placed in the
magnetic field such that the plane of the loop is perpendicular to
field, then force on each element is
Perpendicular to current element Idl as well as magnetic field
B. Hence, the loop opens into a circle.
Consider an element of length dl of circle of radius r, making an angle alpha at centre.
If T is the tension in the wire, then force toward
For small angle α,sin2α=2α
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