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Topic: Current loop and bar magnet as magnetic dipole, field along axis and equator· Magnetic Effects of Current and Magnetism

An iron bar of length L has magnetic moment M. It is bent at the middle of its length such that the two arms make an angle 60^° with each other. The magnetic moment of this new magnet is:

1. \(\frac{M}{\sqrt3}\)

2. M

3. \(\frac{M}{2}\)

4. 2 M

1 answer

Best answer

Answer: 3. \(\frac{M}{2}\)

Key idea: Magnetic moment = pole strength \(\times\) distance between the poles. Bending changes this distance, not the pole strength.

Originally \(M=m\,L\). After bending at the middle, each arm has length \(\frac L2\) and they make \(60^\circ\). The two arms and the line joining the poles form an equilateral triangle, so the distance between the poles is \(\frac L2\).

\(M'=m\cdot\frac L2=\frac M2\). Option 3.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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