Magnetic Properties Of Matter Question 1

Question 1 - 2024 (30 Jan Shift 1)

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

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Answer: (35)

Solution:

$B_{H}=3.5 \times 10^{-5} \mathrm{~T}$

$F=i \ell B \sin \theta, \quad \mathrm{i}=\sqrt{2} \mathrm{~A}$

$\frac{F}{\ell}=i B \sin \theta=\sqrt{2} \times 3.5 \times 10^{-5} \times \frac{1}{\sqrt{2}}$

$=35 \times 10^{-6} \mathrm{~N} / \mathrm{m}$