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Moving Charges and Magnetism question

2005 · Q131
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Moving Charges and Magnetism question

2005 · Q131

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
An electron moves in a circular orbit with a uniform speed v. It producess a magnetic field B at the centre of the circle. The radius of the circle is proportional to
  1. A
    B/v\sqrt {B/v}B/v​
  2. B
    B/vB/vB/v
  3. C
    v/B\sqrt {v/B}v/B​
  4. D
    v/Bv/Bv/B
View written solutionFree

Correct answer: C

The magnetic field produce by moving electron in circular path

B = μ0i2r{{{\mu _0}i} \over {2r}}2rμ0​i​

and i = q2πr×v{q \over {2\pi r}} \times v2πrq​×v

∴\therefore∴ B = μ0qv4πr2{{{\mu _0}qv} \over {4\pi {r^2}}}4πr2μ0​qv​

⇒\Rightarrow⇒ r ∝\propto∝ vB\sqrt {{v \over B}} Bv​​

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