Magnetic Effects Of Current Question 25

Question: A charge q coulomb moves in a circle at n revolutions per second and the radius of the circle is r metre. Then magnetic field at the centre of the circle is

Options:

A) $ \frac{2\pi q}{nr}\times {{10}^{-7}} $ N/amp/metre

B) $ \frac{2\pi q}{r}\times {{10}^{-7}} $ N/amp/metre

C) $ \frac{2\pi nq}{r}\times {{10}^{-7}} $ N/amp/metre

D) $ \frac{2\pi q}{r} $ N/amp/metre

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Answer:

Correct Answer: C

Solution:

The magnetic field at the centre of the circle $ =\frac{{\mu_{o}}}{4\pi }\times \frac{2\pi i}{r}={{10}^{-7}}\times \frac{2\pi (nq)}{r}=\frac{2\pi nq}{r}\times {{10}^{-7}}N/A\text{-}m $