An electron of charge magnitude e revolves in a circular orbit of radius r in the xz -plane with a frequency f . When viewed from the positive y -axis, the electron appears to move in a clockwise direction. If a uniform magnetic field B = B₀ ( i + k ) is present in the region, the vector torque experienced by the orbit is:

Step-by-step solution

The equivalent current due to the revolving electron is I = ef . Since the electron has a negative charge and moves in a clockwise direction when viewed from the positive y -axis, the equivalent conventional current flows in a counter-clockwise direction. By the right-hand rule, the area vector of the orbit points in the positive y -direction. Thus, the area vector is A = r^2 j . The magnetic dipole moment of the orbit is: M = I A = (ef)( r^2 j ) = ef r^2 j The torque experienced by the magnetic dipole in the exter