2.4 (6 points) A solenoid is a current-carrying coil wound into a tightly packed helix (see the 5-turn solenoid below). Because solenoids create controllable and uniform magnetic fields, they are commonly used in a variety of electromagnetic devices (locks, strikers, etc.). coil_coil_loose_large Because of its helical geometry, however, it is difficult to use the Biot-Savart law to calculate the magnetic field produced by a solenoid. Ampere's law provides a much simpler approach, though it is less accurate near the ends of the solenoid. Biot-Savart summation approach: From our course notes (p. II.71), we know that the Biot-Savart Law can be used to find magnetic field intensity, H, along the axis of a single circular current-carrying loop. We can extend this result to approximate H for an N-turn solenoid by summing the contributions of N closely-spaced, circular current-carrying loops. coil_rings_large Assuming (as in the figures above) N = 5, I = 6 A, s = 25 mm, b = 100 mm, and a = 43 mm, use the discrete Biot-Savart summation method described above to calculate the magnitude of magnetic flux density, B, along the central axis, at x1 = 0, x2 = b/2, x3 = b, and x4 = 2b