Answer to Question #117617 in Physics for Mukelo Madolo

Question

the figure shows the orientation of a flat circular loop consisting of 50 closelywrapped turns each carrying a current I. The magnetic field in the region is directed in the positive z direction and has a magnitude of 50 mT. The loop can turn about the y axis. If theta=20 degrees, R=0.50 m, and I=12A,what is the magnitude ot the torque exerted on the loop?

Answer 1

The torque for a loop with N turns, area A, current I subjected to a field B placed θ degrees to the field can be calculated as

$$\tau=IBAN\text{sin}\theta=BIN\cdot\pi R^2\text{sin}\theta=8.1\text{ N}.$$