Magnetic Properties Of Matter

The horizontal component of earth's magnetic field at a place is \(3.5 \times 10^{-5} \mathrm{~T}\). A very long straight conductor carrying current of \(\sqrt{2} \mathrm{~A}\) in the direction from South east to North West is placed. The force per unit length experienced by the conductor is __________ \(\times 10^{-6} \mathrm{~N} / \mathrm{m}\).