The magnetic dipole moment of an electron (charge = −e; mass = me) moving in a circular orbit of radius r with speed v about a nucleus of mass mN is proportional to

Question

Quizplus · Accepted Answer

The magnetic dipole moment of a current loop (which includes a single charged particle moving in a circular orbit) is given by the product of the current, the area of the loop, and a constant known as the magnetic moment per unit current. In the case of an electron in a circular orbit, the current is given by (−e)v/(2πr) and the area is πr^2, so the magnetic moment is proportional to (−e)v/(2πr) * πr^2 = −(e/2m)*(vr), where we have used the fact that mev^2/2 = (−e^2/(4πε0r)). Thus, the magnetic dipole moment is proportional to vr, which is captured in choice D (evr).

The Magnetic Dipole Moment of an Electron (Charge = −E;