Where Do Magnetic Fields Cancel Out in Intersecting Wires?

[doggy physics]

Two very long fixed wires cross each other perpendicularly. They remain infinitely close together but do not touch and remain electrically isolated from each other. Equal currecnts flow in each wire. Indicate the locus of points in the plane containing the wires where the net magnetic field is zero. Justify your answer.

 

[sokratesla]

# Hi,
# To solve this question, you should learn what kind of a magnetic field a current flowing in an infinitely long wire creates. The field due to two wires is just the superposition of itself.
# Draw crossing lines from top view. For both lines indicate whether the field is into the paper or out of the paper on its left side and right side.
# I hope these may help you.