In this scenario a square loop is bent at the dotted line so that one segment is

Question

In this scenario a square loop is bent at the dotted line so that one segment is vertical in the y-z plane as shown in the figure. To solve this problem, we’ll consider the bent loop breakdown diagram where two fictitious legs are added to create two separate loops. Notice that the two fictitious legs add up to “zero” current. For loop a, number the legs 1 to 4 in a clockwise manner starting with the one on the left. For loop b, number the legs 5 to 8 in a clockwise manner starting with the one on the top.

A) Find forces F5, F6, F7, F8, and Fnet = F5 + F6 + F7 + F8.

B) Find magnetic dipole moments µA, µB, and µAB = µA + µB
C) Find torques ?A, ?B, ?AB = ?A + ?B

D) Find potential energy U = ?~µAB · B

D'H LOOP A LOOP B Two fictitious legs "cancel" SQUARE LOOP BENT LOOP BENT LOOP BREAKDOWN Figure 1: Current runing in loop. Figure 1: Current running in loop

Explanation / Answer

In this scenario a square loop is bent at the dotted line so that one segment is

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