Magnetic Effects Of Current Question 100

Question: An electron moving in a circular orbit of radius r makes n rotation per second. The magnetic field produced at the centre has a magnitude of [KCET 2001; UPSEAT 2001, 02]

Options:

A) $ \frac{{\mu_{0}}ne}{2r} $

B) $ \frac{{\mu_{0}}n^{2}e}{2r} $

C) $ \frac{{\mu_{0}}ne}{2\pi r} $

D) Zero

Show Answer

Answer:

Correct Answer: A

Solution:

Corresponding current i = en So $ B=\frac{{\mu_{0}}}{4\pi }.\frac{2\pi ( en )}{r}=\frac{{\mu_{0}}ne}{2r} $