Consider a circular loop of radius a centered at the origin of the coordinate system. The loop lies on the xy plane. We have already calculated the magnetic field B at a point directly above the center. Here, you will calculate B at an arbitrary point R, and then solve numerically for several special locations. To receive credit, post your responses as well as a. Use the law of Biot-Savart to give expressions for the three components of B for an arbitrary field point R in space due to the current loop. The expressions will involve integrals, which are you not expected to solve. b. Specialize for a field point on the yz plane, i.e. R = yŷ+zî. Evaluate B, explicitly, but leave By and Bz in terms of integrals over the angle o around the loop.

Consider a circular loop of radius a centered at the origin of the coordinate system. The loop lies on the xy plane. We have already calculated the magnetic field B at a point directly above the center. Here, you will calculate B at an arbitrary point R, and then solve numerically for several special locations. To receive credit, post your responses as well as a. Use the law of Biot-Savart to give expressions for the three components of B for an arbitrary field point R in space due to the current loop. The expressions will involve integrals, which are you not expected to solve. b. Specialize for a field point on the yz plane, i.e. R = yŷ+zî. Evaluate B, explicitly, but leave By and Bz in terms of integrals over the angle o around the loop.