Magnetism Question 156

Question: Magnetic intensity for an axial point due to a short bar magnet of magnetic moment M is given by

[MP PET 1984; CPMT 1974; Pb. PMT 1999]

Options:

A) $ \frac{{\mu _{0}}}{4\pi }\times \frac{M}{d^{3}} $

B) $ \frac{{\mu _{0}}}{4\pi }\times \frac{M}{d^{2}} $

C) $ \frac{{\mu _{0}}}{2\pi }\times \frac{M}{d^{3}} $

D) $ \frac{{\mu _{0}}}{2\pi }\times \frac{M}{d^{2}} $

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Answer:

Correct Answer: C

Solution:

$ B _{a}=\frac{{\mu _{0}}}{4\pi }\frac{2M}{d^{3}}=\frac{{\mu _{0}}}{2\pi }\frac{M}{d^{3}} $