Magnetism Question 27
Question: Two identical short bar magnets, each having magnetic moment M, are placed a distance of 2d apart with axes perpendicular to each other in a horizontal plane. The magnetic induction at a point midway between them is
[IIT-JEE (Screening) 2000]
Options:
A) $ \frac{{\mu _{0}}}{4\pi }(\sqrt{2})\frac{M}{d^{3}} $
B) $ \frac{{\mu _{0}}}{4\pi }(\sqrt{3})\frac{M}{d^{3}} $
C) $ ( \frac{2{\mu _{0}}}{\pi } )\frac{M}{d^{3}} $
D) $ \frac{{\mu _{0}}}{4\pi }(\sqrt{5})\frac{M}{d^{3}} $
Show Answer
Answer:
Correct Answer: D
Solution:
At point P net magnetic field $ B _{net}=\sqrt{B _{1}^{2}+B _{2}^{2}} $ where $ B _{1}=\frac{{\mu _{0}}}{4\pi }.\frac{2M}{d^{3}} $ and $ B _{2}=\frac{{\mu _{0}}}{4\pi }.\frac{M}{d^{3}} $
$ \Rightarrow B _{net}=\frac{{\mu _{0}}}{4\pi }.\frac{\sqrt{5}M}{d^{3}} $
BETA
