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Moving Charges and Magnetism question

2015 · Q120
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Moving Charges and Magnetism question

2015 · Q120

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the centre has magnitude
  1. A
    μ0n2er{{{\mu _0}{n^2}e} \over r}rμ0​n2e​
  2. B
    μ0ne2r{{{\mu _0}ne} \over {2r}}2rμ0​ne​
  3. C
    μ0ne2πr{{{\mu _0}ne} \over {2\pi r}}2πrμ0​ne​
  4. D
    Zero
View written solutionFree

Correct answer: B

Current in the orbit, I=eTI = {e \over T}I=Te​

I=e(2π/ω)=ωe2πI = {e \over {\left( {2\pi /\omega } \right)}} = {{\omega e} \over {2\pi }}I=(2π/ω)e​=2πωe​

=(2πn)e2π=ne = {{\left( {2\pi n} \right)e} \over {2\pi }} = ne=2π(2πn)e​=ne

Magnetic field at centre of current carrying circular coil is given by

B=μ0I2r=μ0ne2rB = {{{\mu _0}I} \over {2r}} = {{{\mu _0}ne} \over {2r}}B=2rμ0​I​=2rμ0​ne​

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