Two long parallel wires $45\mathrm{.}6$ cm apart are carrying currents of $13\mathrm{.}0$ A and $23\mathrm{.}0$ A in the same direction. What is the magnitude of the magnetic field halfway between the wires?

a$.8\mathrm{.}77{10}^{-6}T$

b$.3\mathrm{.}16{10}^{-5}T$

c$.1\mathrm{.}14{10}^{-5}T$

d$.2\mathrm{.}02{10}^{-6}T$

e$.4\mathrm{.}39{10}^{-6}T$