Compute all parts of following question given below:
Question: Two long, straight wires are parallel to the x-axis, a distance 2a away from each other. The y-axis is in the plane of the wires and in the direction from the lower to the upper wire (you may thus place the lower wire along the x-axis). Each wire carries a current I in the positive x-direction.
Part I: Draw a sketch of the situation and find an expression for the net magnetic field vector at a point halfway between the two wires.
Part II: What is the magnetic field vector at a point a distance a above the upper wire?
Part III: What is it a distance a below the lower wire? Express these vectors in unit vector notation.
I have been stuck on this problem for a long time, please help. Show steps. Thanks!