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Moving Charges and Magnetism question

2010 · Q141
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Moving Charges and Magnetism question

2010 · Q141

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency fff Hz. The magnitude of magnetic induction at the center of the ring is
  1. A
    μ0qf2πR{{{\mu _0}qf} \over {2\pi R}}2πRμ0​qf​
  2. B
    μ0qf2R{{{\mu _0}qf} \over {2R}}2Rμ0​qf​
  3. C
    μ0q2fR{{{\mu _0}q} \over {2fR}}2fRμ0​q​
  4. D
    μ0q2πfR{{{\mu _0}q} \over {2\pi fR}}2πfRμ0​q​
View written solutionFree

Correct answer: B

When the ring rotates about its axis with a uniform frequency f Hz, the current flowing in the ring is

I = qT{q \over T}Tq​ = qf

Magnetic field at the centre of the ring is

B = μ0I2R{{{\mu _0}I} \over {2R}}2Rμ0​I​ = μ0qf2R{{{\mu _0}qf} \over {2R}}2Rμ0​qf​

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