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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

1. qvR²
2. qvR²/2
3. qvR
4. qvR/2

Correct answer: qvR²/2

Solution

The magnetic moment μ is given by μ = (q * A * v) / (2 * R), where A is the area of the circle (πR²). Substituting A = πR² and simplifying, μ = qvR² / 2.

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