Physics: two long parallel wires 24.0 cm apart carry currents of 3.0 a and 8.0 a in the same direction. how far from the wire carrying 3.0 a is the magnetic field is zero (in cm)?

two long parallel wires 24.0 cm apart carry currents

Liapis

30.12.2021

6.5454 m

Explanation:

Let the distance from the wire carrying 3 A current is x

Then the distance from the the carrying current 8 A is 24-x

We know that magnetic field due to long wire is given by $B=\frac{\mu _0i}{2\pi r}$

It is given that magnetic field is zero at some distance so

$\frac{\mu _0i_1}{2\pi x}=\frac{\mu _0i_2}{2\pi (24-x)}$

Here $i_1=3\ A \ and\ i_2=8\ A$

So $\frac{3}{x}=\frac{8}{24-x}=6.5454\ m$

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