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  4. At a certain place, the horizontal component B0 and the vertical component V0 of the earth's magnetic field are equal in magnitude. The total intensity at the place will be

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Q. 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

Magnetism and Matter

Solution:

$B_{0}=V_{0}$; Total intensity,
$B=\sqrt{B_{0}^{2} +V_{0}^{2}}$
$\Rightarrow B=\sqrt{2} B_{0}$