Magnetism Question 230
Question: Two identical magnetic dipoles of magnetic moments $ 1.0,A,-m^{2} $ , each, placed at a separation of 2m with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is
Options:
A) $ 5\times {{10}^{-7}},T $
B) $ \sqrt{5}\times {{10}^{-7}},T $
C) $ {{10}^{-7}},T $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ B _{1}=\frac{{\mu _{0}}}{4\pi }.\frac{2M}{r^{3}}={{10}^{-7}}\times \frac{2\times 1}{1^{3}}=2\times {{10}^{-7}},T $ and $ B _{2}=\frac{{\mu _{0}}}{4\pi }.\frac{M}{r^{3}}={{10}^{-7}}\times \frac{1}{1^{3}}={{10}^{-7}},T $ Now, $ B=\sqrt{B _{1}^{2}+B _{2}^{2}}=\sqrt{5}\times {{10}^{-7}},T $
BETA
