Answer Happy

1. (30 points) Use the Biot-Savart law and the many step process to derive a formula for the magnetic field created at [2R,0,0] by a current loop in the x-y plane shaped like a backwards D, with the straight section running along the y-axis and centered on the origin and the curved section being a semicircle of radius R that passes through the point [-R,0,0). The current, I, runs counterclockwise as seen from +z. You do not need to evaluate the integral, but you must otherwise simplify your answer.