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  4. A current carrying coil is placed with its axis perpendicular to N-S direction. Let horizontal component of earth's magnetic field be H0 and magnetic field inside the loop be H . If a magnet is suspended inside the loop, it makes angle θ with H. Then θ=

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Q. 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 $\theta=$

Magnetism and Matter

Solution:

In given case $H$ and $H_{0}$ are perpendicular to each other.
image
From figure, $\tan \theta=\frac{H_{0}}{H}$
$\Rightarrow \theta=\tan ^{-1}\left(\frac{H_{0}}{H}\right)$