The figure below shows a current set up in a long hairpin conductor formed by bending a wire into a semicircle of radius R. Point b is midway between the straight sections and is far enough from the semicircle that each section can be approximated as an infinite wire.
What are the (a) magnitude and (b) direction (into or out of the page) of the magnetic field at point a?
And the (c) magnitude and (d) direction of the magnetic field at point b?
Write your answer in terms of μ₀, π, R, i, and number.