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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Magnetic Field

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Magnetic Field

A nonconducting ring of radius r and mass m carries a total charge...

A nonconducting ring of radius rr and mass mm carries a total charge qq that is uniformly distributed over it. The ring is rotated about its axis with an angular speed ω\omega. Determine the equivalent electric current in the ring.

Options

  1. Aqω2π\dfrac{q \omega}{2\pi}
  2. Bqωq \omega
  3. Cqωπ\dfrac{q \omega}{\pi}
  4. Dqω4π\dfrac{q \omega}{4\pi}

Correct answer

A. qω2π\dfrac{q \omega}{2\pi}

Step-by-step solution

The total charge on the ring is qq.

The ring rotates with an angular speed ω\omega.

The time period of one complete rotation is T=2πωT = \dfrac{2\pi}{\omega}.

The equivalent electric current II is the total charge passing a given point per unit time.

I=qTI = \dfrac{q}{T}

I=q2πω=qω2πI = \dfrac{q}{\dfrac{2\pi}{\omega}} = \dfrac{q \omega}{2\pi}
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