Question

The relation between $B_v,B_h$ and B is _________.

• A. $B=\sqrt{B_h^2+B_v^2}$
• B. $B=B_h\cdot B_v$
• C. $B=\frac{B_v}{B_h}$
• D. $B=\frac{B_h}{B_v}$

Answer 1

The correct option is A $B=\sqrt{B_h^2+B_v^2}$

Horizontal and vertical components of earth's magnetic field are $B_h$ and $B_v$, respectively.
We know that $B_h=B\cos \delta$
where $B$ is the earth's total magnetic field and $\delta$ is the angle of dip.
Also, $B_v=B\sin \delta$
$⟹$ $B^2=B_h^2+B_v^2$
$⟹B=\sqrt{B_h^2+B_v^2}$