Two long, straight wires, one above the other, are separated by a distance 2a and are parallel to the x−axis. Let the +y−axis be in the plane of the wires in the direction from the lower wire to the upper wire. Each wire carries a current I in the +x−direction. Find B⃗ - the net magnetic field of the two wires at the following points in the plane of the wires.
a. Midway between the wires.
Express your answer in terms of the variables I, a, and appropriate constants (μ0 and π). Enter your answers separated by commas. Bx, By, Bz.
b. At a distance a above the upper wire.
Express your answer in terms of the variables I, a, and appropriate constants (μ0 and π). Enter your answers separated by commas. Bx, By, Bz.
c. At a distance a below the lower wire.
Express your answer in terms of the variables I, a, and appropriate constants (μ0 and π). Enter your answers separated by commas.
Express your answer in terms of the variables I, a, and appropriate constants (μ0 and π). Enter your answers separated by commas. Bx, By, Bz.