First slide

Earth's Magnetism

Question

The angle of dip at a certain place is $30^{o}$ . If the horizontal component of the earth's magnetic field is H, the intensity of the total magnetic field is

Easy

A

$\frac{H}{2}$
B

$\frac{2 H}{\sqrt{3}}$
C

$H \sqrt{2}$
D

$H \sqrt{3}$

Solution

$B_{H} = B cosϕ \Rightarrow B = \frac{B_{H}}{cosϕ} \Rightarrow B = \frac{B_{H}}{\cos 30^{o}} = \frac{2 B_{H}}{\sqrt{3}} = \frac{2 H}{\sqrt{3}}$

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