Consider the Helmholtz coil configuration shown in Fig. 2. Here R = 0.2 m,I = 10 A, and there are N = 100 windings in each coil. You can neglect the thickness of each coils windings so that its dimensions are fully specified by R.
(a) Use Biot and Savart's law to derive an expression for the magnetic field as a function of displacement x from the center of the coils.
(b) Calculate the strength of the magnetic field in Tesla at the central point between the coils where x = 0 and for x = ± R/2 and make a plot of B(x).
