Question

At a certain place, the horizontal as well as vertical components of earth's magnetic field is $B_0$. The total magnetic field intensity at the place will be,

• A. $B_0$
• B. $B_0^3$
• C. $B_0^2$
• D. $\sqrt{2}{B}_0$

Answer 1

The correct option is D $\sqrt{2}{B}_0$

$B_{net}$ has two components, $B_H$ and $B_V$, which are perpendicular to each other.

$B_{net}=\sqrt{{B_V}^2+{B_H}^2}$

Given, $B_H=B_V=B_0$

So, $B_{net}^2=2B_0^2\Rightarrow B_{net}=\sqrt{2}{B}_0$

Hence, option $\left(D\right)$ is the correct answer.