Answer:
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 [tex]B=\frac{\mu _0i}{2\pi r}[/tex]
It is given that magnetic field is zero at some distance so
[tex]\frac{\mu _0i_1}{2\pi x}=\frac{\mu _0i_2}{2\pi (24-x)}[/tex]
Here [tex]i_1=3\ A \ and\ i_2=8\ A[/tex]
So [tex]\frac{3}{x}=\frac{8}{24-x}=6.5454\ m[/tex]
