The magnetic moment of an electron orbiting in a circulate orbit of radius r with a speed v is equal to

Step-by-step solution

Magnetic moment M = NiA where, N = number of turns of the current loop and i = current. Since, the orbiting electron behaves as a current loop of current i , we can write i = e T = e 2 r V = ev 2 r where, A = area of the loop = r ^2 . M=(1) ( ev 2 r ) ( r ^2 )= evr 2