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Question: Answered & Verified by Expert
An electric current $^{\prime} I^{\prime}$ enters and leaves a uniform circular wire of radius $r$ through diametrically opposite points. A particle carrying a charge $q$ moves along the axis of the circular wire with speed $v$. What is the magnetic force experienced by the particle when it passes through the centre of the circle?
PhysicsMagnetic Effects of CurrentWBJEEWBJEE 2019
Options:
  • A $q v \frac{\mu_{0} i}{a}$
  • B $q v \frac{\mu_{0} i}{2 a}$
  • C $q v \frac{\mu_{0} i}{2 \pi a}$
  • D Zero
Solution:
2058 Upvotes Verified Answer
The correct answer is: Zero
Given, electric current in circular wire $=I$
Radius of wire $=r$
Charge on particle $=q$
Speed of the particle $=v$
The given loop can be as shown in the figure below. $1 / 2$

$\because$ Net magnetic field at the centre $=0$
So, magnetic force $\mathbf{F}_{\text {magnetic }}=q(\mathbf{v} \times \mathbf{B})=0$ So, the magnetic force experienced by the particle when it passes through the centre is $F=0$

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