The magnetic field produced by an infinite wire with current

is

where

is a unit vector in the azimuthal direction determine by the right-hand rule. So, the magnetic field at

due to the wire in the

direction will be out of the page, and the magnetic field at

due to the wire in the

direction will be into of the page, and both will have the same magnitude, so they will cancel. Therefore, answer (E) is correct.