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BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Physics
Chapter
Current Electricity

BITSAT 2022 · Physics · Current Electricity

An electric current I enters and leaves a uniform circular wire of...

An electric current II enters and leaves a uniform circular wire of radius rr through diametrically opposite points. A charged particle qq moves along the axis of circular wire passes through its centre at speed vv. The magnetic force on the particle when it passes through the centre has a magnitude.

Options

  1. Aqvμ0I2πr\frac{q v \mu_0 I}{2 \pi r}
  2. BqvμoIπrq v \frac{\mu_o I}{\pi r}
  3. Cqvμ0Iq v \mu_0 I
  4. D0

Correct answer

D. 0

Step-by-step solution

Force on a moving charged particle in uniform magnetic field F=B q v \sin \theta Since, charge particle moves along the axis of circular current carrying loop, therefore, θ=0∘\theta=0^{{}^{\circ}} or 180∘180^{{}^{\circ}} When θ=0∘;F=Bqvsin⁡0∘\theta=0^{{}^{\circ}} ; F=B q v \sin 0^{{}^{\circ}} F=0 When θ=180∘,F=Bqusin⁡180∘\theta=180^{{}^{\circ}}, F=B q u \sin 180^{{}^{\circ}} F=0
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