Torque on a loop
The final result for this loop is:
t = N A I B sin(qIB) sin(qrF) .
In this orientation, qIB = 90o and qrF = 90o .
If the loop does rotate, we see that qIB remains at 90o (the current still goes up and down, the field still goes to the right), but qrF changes as the loop rotates!