A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

The magnetic moment of a charged particle moving in circular orbit is given bypm=iA=qT×πr2=q×πr2(2π/ω)or     pm=q×πr2×ω2π=qωr22         â€¦(1)The angular momentum L is given byL=Iω=mr2ω             â€¦.(2)Dividing eq. (t) by eq. (2), we getpmL=q2mSo, the ratio of magnetic moment to angular momentum depends on q and m.