Question

The magnitude of the force between a pair of conductors, each of length $110cm$, carrying a current of $10A$ each and separated by a distance of $10cm$ is (${\mu }_0=4\pi \times {10}^{-7}H/m$)

• A. $55\times {10}^{-5}N$
• B. $44\times {10}^{-5}N$
• C. $33\times {10}^{-5}N$
• D. $22\times {10}^{-5}N$

Answer 1

The correct option is D $22\times {10}^{-5}N$

$F=\frac{{\mu }_0{i}_1{i}_2}{2\pi r}\left(l\right)$
$=\frac{2\times {10}^{-7}\times 10\times 10\times 1.1}{\cdot 1}$
$=22\times {10}^{-5}N$