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The magnetic dipole moment of a revolving electron, The electron of charge (-e) (e = + 1.6 x 10-1ºC) performs uniform circular, motion around a stationary heavy nucleus of charge +Ze. This constitutes a, current I, where,, T=", r=radius of orbit, v=orbital velocity, For circulating current magnetic moment is represented as µi, HI = IA, ev, evr, HI =, r? =, 2nr, (mvr)s re, 2m, 2m, l=orbital angular momentum of the electron about the central nucleus., 2m, This ratio is called the gyromagnetic ratio and is a constant., Its value is 8.8 x 1010 C /kg for an electron., Bohr Magneton, By Bohr's postulates,the angular momentum,, l=, where n=1,2,3.., For first orbit ,n=1, e h, He, 2m 27, eh, HI =, 4nm, 1.60 x 10 " x 6.63 × 10, 4 x 3.14 x 9.11x10, - 9.27 x 104 Am?, This value is called the Bohr magneton.