Question

At a certain place, the horizontal component $B_0$ and the vertical component $V_0$ of the earth's magnetic field are equal in magnitude. the total intensity at the place will be

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

Answer 1

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

Given:-

Horizontal component of the earth's magnetic field $=B_0$

Vertical component of the earth's magnetic field $=V_0$

$B_0=V_0$

Now, Intensity =$\sqrt{{B_0}^2+{V_0}^2}=\sqrt{{B_0}^2+{B_0}^2}=\sqrt{2}{B}_0$