A rectangle is bent on two sides at 90 $\degree$ so that one end lies along the xy plane while the other end lies along the xz plane. The length of each bent portion is illustrated on the Figure. A current I flows through the loop. The magnetic dipole of the rectangle is
E) None of these is correct.

Question

Quizplus · Accepted Answer

The magnetic dipole moment of a loop with current I is given by the formula M = I * A * n, where A is the area of the loop and n is a unit vector perpendicular to the loop.

In this case, the loop is a rectangle bent on two sides at a right angle. The area of the rectangle is given by the product of the lengths of the bent portions, which is (0.2 m) * (0.3 m) = 0.06 m^2.

The unit vector perpendicular to the loop points along the y-direction, since the rectangle lies in the xy and xz planes. Therefore, we have n = j.

Putting everything together, we get M = I * A * n = I * (0.06 m^2) * j.

The only answer choice that matches this expression is B, so that is the correct answer.

A Rectangle Is Bent on Two Sides at 90 °\degree° So That One End Lies Along the Xy Plane While

A Rectangle Is Bent on Two Sides at 90 $\degree$ So That One End Lies Along the Xy Plane While