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Question: Answered & Verified by Expert
An electric current $I$ enters and leaves a uniform circular wire of radius $r$ through diametrically opposite points. A charged particle $q$ moves along the axis of circular wire passes through its centre at speed $v$.
The magnetic force on the particle when it passes through the centre has a magnitude.
PhysicsCurrent ElectricityBITSATBITSAT 2022
Options:
  • A
    $\frac{q v \mu_0 I}{2 \pi r}$
  • B
    $q v \frac{\mu_o I}{\pi r}$
  • C
    $q v \mu_0 I$
  • D
    0
Solution:
1761 Upvotes Verified Answer
The correct answer is:
0
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, $\theta=0^{\circ}$ or $180^{\circ}$
When $\theta=0^{\circ} ; F=B q v \sin 0^{\circ}$
$$
F=0
$$
When $\theta=180^{\circ}, F=B q u \sin 180^{\circ}$
$$
F=0
$$

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