Magnetic Moment

The magnetic moment of a current-carrying loop is given by the formula: Where:
- is the current
- is the area of the loop
For a wire bent into a circle, the area of the circle is given by: Where is the radius of the circle. Since the total length of the wire is , and the wire is bent in the shape of a circle, the circumference of the circle is equal to the length of the wire: Thus, the radius is: Now, substitute this value of into the area formula: Now, the magnetic moment is: Thus, the magnetic moment is , which corresponds to option (A).