Magnetism Question 271

Question: A current carrying coil is placed with its axis perpendicular to N-S direction. Let horizontal component of earth’s magnetic field be $ H _{0} $ and magnetic field inside the loop be H. If a magnet is suspended inside the loop, it makes angle $ \theta $ with H. Then $ \theta $ =

Options:

A) $ {{\tan }^{-1}}( \frac{H _{0}}{H} ) $

B) $ {{\tan }^{-1}}( \frac{H}{H _{0}} ) $

C) $ \cos e{{c}^{-1}}( \frac{H}{H _{0}} ) $

D) $ {{\cot }^{-1}}( \frac{H _{0}}{H} ) $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \tan ,\theta =\frac{H _{0}}{H} $

$ \theta ={{\tan }^{-1}}( \frac{H _{0}}{H} ) $