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Q. At a place, the earth's horizontal component of magnetic field is $0.36 \times 10^{-4} Wb / m ^{2}$. If the angle of dip at that place is $60^{\circ}$, then the vertical component of earth's field at that place in $Wb / m ^{2}$ will be approximately

Magnetism and Matter

Solution:

From the relation, $B_{H}=B \cos \phi$ and $B_{V}=B \sin \phi$
$\frac{B_{V}}{B_{H}}=\tan \phi$ or $B_{V}=B_{H} \tan \phi$
$=0.36 \times 10^{-4} \times \tan 60^{\circ}$
$=0.623 \times 10^{-4} Wb / m ^{2}$