Physics - Magnetism Question with Solution | TestHub

Given:${\mathrm{B}}_{\mathrm{H}}=4\times {10}^{-5} \text{T}, {\mathrm{B}}_{\mathrm{V}}=2\times {10}^{-5} \text{T}$. The total earth's magnetic field$\mathrm{B}$at the given place is

$\mathrm{B}=\sqrt{{\mathrm{B}}_{\mathrm{V}}^2+{\mathrm{B}}_{\mathrm{H}}^2}=\left(\sqrt{4^2+2^2}\right)\times {10}^{-5} \text{T}$

$=\sqrt{20}\times {10}^{-5} \text{T}=2\sqrt{5}\times {10}^{-5} \text{T}$