A charged particle (charge q) is moving in a circle of radius R with uniform speed v

A Charged Particle Charge Q Is Moving In A Circle Physics QuestionA Charged Particle Charge Q Is Moving In A Circle Physics Question

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment µ is given by

Options

(a) qvR²
(b) qvR² / 2
(c) qvR
(d) qvR / 2

Correct Answer:

qvR² / 2

Explanation:

Magnetic moment, m = IA
qv / 2πR (πR²) = qvR / 2
[ I = q/T and T = 2πR / v ]

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