Question

One Ampere is the current which when flowing through each of the two parallel uniform long linear conductors placed in free space at a distance of one meter from each other will attract or repel each other with a force of

Answer 1

Step 1. Given data

1. ${\mathrm{I}}_1={\mathrm{I}}_2=1\mathrm{A}$
2. Distance between the wires $D=1m$

Step 2. Formula used

Force of attraction or repulsion per unit length, $\mathrm{f}=\frac{{\mathrm{\mu }}_0{\mathrm{I}}_1{\mathrm{I}}_2}{2\mathrm{\pi D}}$

Step 3. Find the force

The force of attraction or repulsion per unit length will be

$\mathrm{f}=\frac{{\mathrm{\mu }}_0{\mathrm{I}}_1{\mathrm{I}}_2}{2\mathrm{\pi D}}$

On substituting the given values in the formula, we get,

$$\begin{gathered} =\frac{4\pi \times {10}^{-7}\times \left(1\right)\times \left(1\right)}{2\pi } \\ =2\times {10}^{-7}\mathrm{N}/\mathrm{m} \end{gathered}$$

Hence the force is $2\times {10}^{-7}\mathrm{N}/\mathrm{m}$.