A particle of charge q and mass m moves in a circle of radius r and with

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A particle of charge q and mass m moves in a circle of radius r and with angular velocity ω.

(a) Show that the average current is I = qω/2π and that the magnetic moment has the magnitude μ = ½qωr2.

(b) Show that the angular momentum of this particle has the magnitude L = mr2ω and that the magnetic moment and angular momentum vectors are related by μ = (q/2m)L.

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