A charge q is uniformly distributed around a thin ring of radius r.The ring is r

Question

A charge q is uniformly distributed around a thin ring of radius r.The ring is rotating about an axis through its center andperpendicular to its plane, at an angular speed . a) Show that the magnetic moment due to the rotating chargehas magnetic magnitude =1/2qr2 b) What is the direction of this magneticmoment if the charge is positive? a) Show that the magnetic moment due to the rotating chargehas magnetic magnitude =1/2qr2 b) What is the direction of this magneticmoment if the charge is positive?

Explanation / Answer

a) magnetic moment = current * area current = charge/time during a period of time t, charge q passes through any specificpoint of the ring charge = q time = 2/ so current I = q/(2/) = q/2 area = r2 magnetic moment = q/2* r2 = qr2/2 b) direction: along the axis of the ring, by the right handrule

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