A circular loop of wire with a radius of 20 cm lies in the xy plane and carries a current of 2 A, counterclockwise when viewed from a point on the positive z axis.Its magnetic dipole moment is: A)0.25 A.m², in the positive z direction B)0.25 A.m², in the negative z direction C)2.5 A.m², in the positive z direction D)2.5 A.m², in the negative z direction E)0.25 A.m², in the xy plane

Question

Quizplus · Accepted Answer

The magnetic dipole moment ($ \mu $) of a current-carrying loop is given by $ \mu = I \cdot A $, where $ I $ is the current and $ A $ is the area of the loop. For a circle, $ A = \pi r^2 $. Given $ r = 0.2 $ m and $ I = 2 $ A, $ \mu = 2 \cdot \pi \cdot (0.2)^2 = 0.08\pi $ A$\cdot$m$^2$. This simplifies to approximately $0.25 $ A$\cdot$m$^2$, and since the current is counterclockwise when viewed from the positive z-axis, the magnetic dipole moment points in the positive z direction.

A Circular Loop of Wire with a Radius of 20