Answer:
4.57 cm
Explanation:
Magnetic field in a wire is given by:
[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]
Lets suppose the distance from wire 1 is [tex]x[/tex] where [tex]\sum B=0[/tex]
[tex]\sum B=0=B_1 - B_2[/tex] where [tex]B_1[/tex] and [tex]B_2[/tex] are magnetic fields due to wire 1 and 2 at x since both fields are in opposite direction
[tex]B_1=\frac{\mu_0\cdot 2}{2\pi x}[/tex]
[tex]B_2=\frac{\mu_0 \cdot 5}{2\pi\cdot (16-x)}[/tex]
[tex]\frac{\mu_0 \cdot 2}{2\pi x}=\frac{\mu_0 \cdot 5}{2\pi\cdot (16-x)}[/tex]
[tex]\frac{2}{x}=\frac{5}{16-x}[/tex]
[tex]x=\frac{32}{7}[/tex]
