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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2011 · Physics · Magnetic Effects of Current

Charge q is uniformly spread on a thin ring of radius R . The ring...

Charge qq is uniformly spread on a thin ring of radius RR. The ring rotates about its axis with a uniform frequency f Hzf \mathrm{~Hz}. The magnitude of magnetic induction at the centre of the ring is

Options

  1. Aμ0qf2R\frac{\mu_0 q f}{2 R}
  2. Bμ0q2fR\frac{\mu_0 q}{2 f R}
  3. Cμ0q2πfR\frac{\mu_0 q}{2 \pi f R}
  4. Dμ0qf2πR\frac{\mu_0 q f}{2 \pi R}

Correct answer

A. μ0qf2R\frac{\mu_0 q f}{2 R}

Step-by-step solution

We know B=μ0i2Rq=it⇒i=qt=qf[\becausef=1t]B=μ0qf2R\begin{array}{ll}B=\frac{\mu_0 i}{2 R}\\ q=i t \Rightarrow i=\frac{q}{t}=q f \quad\left[\becausef=\frac{1}{t}\right]\\ B=\frac{\mu_0 q f}{2 R} \end{array}
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