Question

A wire of magnetic material of length \( 2L \) and magnetic moment \( M \) is bent at the centre to form 'L' shaped wire. Its magnetic moment is

• A. \( \frac{M}{\sqrt{2}} \)
• B. \( M \)
• C. \( \frac{M}{\sqrt{3}} \)
• D. \( \frac{M}{2} \)

Hint:

When a wire is bent into a different shape, the magnetic moment changes depending on the geometry of the shape.

Answer 1

The Correct Option is A

Step 1: Understanding the magnetic moment of a bent wire.
The magnetic moment of a straight wire is given by \( M = I \times A \), where \( I \) is the current and \( A \) is the area of the loop. When the wire is bent into an 'L' shape, the magnetic moment becomes: \[ M_{\text{bent}} = \frac{M}{\sqrt{2}} \] Thus, the correct answer is (A) \( \frac{M}{\sqrt{2}} \).