Question

Two straight wires are in parallel and carry electrical currents in opposite directions with the same magnitude of LaTeX: 2.02.0LaTeX: AA. The distance between the two wires LaTeX: 5.05.0 LaTeX: mmm m. If one of the wires is infinitely long and the other the wire is LaTeX: 0.30.3 LaTeX: mm long, what is the magnitude of the force between the two wires?

Answer 1

Answer:

$2.4\times 10^{-5} N$

Explanation:

We are given that

$I_1=I_2=2.0 A$

Distance between the wires,$d=5.0 mm=5\times 10^{-3} m$

1mm=$10^{-3} m$

Length of other wire,l=0.3 m

Length of one wire is infinite.

We have to find the magnitude of force between the two wires.

We know that magnetic force

$F=\frac{2\mu_0 I_1I_2 l}{4\pi d}$

Where $\frac{\mu_0}{4\pi}=10^{-7}$

$F=\frac{2\times 10^{-7}\times 2\times 2\times 0.3}{5\times 10^{-3}}$

$F=2.4\times 10^{-5} N$

When the wires carrying equal current in opposite direction then the force between two wires repel to each other.