Magnetism Question 193

Question: The magnetic field to a small magnetic dipole of magnetic moment M, at distance r from the centre on the equatorial line is given by (in M.K.S. system)

[MP PMT/PET 1998]

Options:

A) $ \frac{{\mu _{0}}}{4\pi }\times \frac{M}{r^{2}} $

B) $ \frac{{\mu _{0}}}{4\pi }\times \frac{M}{r^{3}} $

C) $ \frac{{\mu _{0}}}{4\pi }\times \frac{2M}{r^{2}} $

D) $ \frac{{\mu _{0}}}{4\pi }\times \frac{2M}{r^{3}} $

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Answer:

Correct Answer: B

Solution:

$ B _{equatorial}=\frac{{\mu _{0}}}{4\pi }\frac{M}{r^{3}} $