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An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to
- B / √v
- B / v
- √B / v
- v / B
Correct answer: v / B
Solution
The magnetic field at the center of a circular orbit due to a moving charge is proportional to the current, which depends on the charge's velocity and the radius of the orbit. Using the relationship between the magnetic field, velocity, and radius, we find that the radius is proportional to v/B.
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