Question

Part A

If the loop is in a uniform magnetic field with magnitude 0.48T in the + x-direction, find the magnitude of the torque required to hold the loop in the position shown.

Part B

What is the direction of the torque required to hold the loop in the position shown.

Part C

Repeat part A for the case in which the field is in the ? z-direction.

Part D

What is the direction of the torque required to hold the loop in the position shown.

Part E

For the magnetic field in part A, what torque would be required if the loop were pivoted about an axis through its center, parallel to the y-axis?

Part F

For the magnetic field in part C, what torque would be required if the loop were pivoted about an axis through its center, parallel to the y-axis?

So for this question, I already have everything right. However, I don't really understand Parts E & F. I was told that for some reason the torque remains the same and you add two 1/2sin for the equation which comes out to an identical torque, but I don't understand why. I'm not even sure I can spatially construct what they're talking about in my head, what exactly does it visually mean when they say to pivot it about an axis through its center parallel to the y-axis? I can come up with multiple spatial arrangements that satisfy that demand in my head and not sure which is right. Parallel to the y-axis in regards to what? The long side of the loop? Short side? Is it only referring to the two axes? What am I supposed to assume?

What I'm looking for is an IN-DEPTH explanation of Parts E & F and if you could, a picture to indicate the spatial arrangement they're referring to.

15.0 A 8.00 cm 30.0 6.00 cm

Answer 1