Magnetic Effects Of Current Question 180

Question: An electron moves with a constant speed v along a circle of radius r. Its magnetic moment will be (e is the electron’s charge) [MP PMT 1994]

Options:

A) evr

B) $ \frac{1}{2}evr $

C) $ \pi r^{2}ev $

D) $ 2\pi rev $

Show Answer

Answer:

Correct Answer: B

Solution:

$ M=i\ (\pi r^{2})=\frac{ev}{2\pi r}\times \pi r^{2}\Rightarrow M=\frac{1}{2}evr $