magnetic field due to long wire is given by
[tex]B = \frac{\mu_o i}{2\pi r}[/tex]
Magnetic field due to long wire along x axis
[tex]B_1 = \frac{2*10^{-7} *30}{2}[/tex]
[tex]B_1 = 3 * 10^{-6} T[/tex]
Magnetic field due to long wire perpendicular to xy plane
[tex]B_2 = \frac{2*10^{-7} *40}{2}[/tex]
[tex]B_2 = 4 * 10^{-6} T[/tex]
Both magnetic fields are perpendicular to each other
Net magnetic field is given by
[tex]B_{net} = \sqrt{B_1^2 + B_2^2}[/tex]
[tex]B_{net} = 5 * 10^{-6} T[/tex]