Question

A current of 25.0 mA is maintained in a single circular loop of 2.30 m circumference. A magnetic field of 0.400 T is directed parallel to the plane of the lop. Calculate the magnetic moment of the loop. If you know the circumference of a circle, how do you find the area? mA⋅m²

Answer 1

To find the magnetic moment of a circular loop, multiply the current by the area of the loop. In this case, the magnetic moment is 2.5 × 10^-6 A. m².

Step-by-step explanation:

To find the magnetic moment of a circular loop, you can use the formula μ = IA, where μ is the magnetic moment, I is the current, and A is the area of the loop.

In this case, the current is given as 25.0 mA (or 25.0 × 10^-3 A) and the circumference of the loop is 2.30 m. To find the area of the loop, you can use the formula A = πr^2, where r is the radius of the loop. Since the circumference is given, you can use the formula C = 2πr to find the radius. Once you have the radius, you can calculate the area and then use the formula μ = IA to find the magnetic moment.

Therefore, the magnetic moment of the loop is 2.5 × 10^-6 A. m².