Solved: In Fig. 29-71, an arrangement known as Helmholtz
Chapter , Problem 90(choose chapter or problem)
In Fig. 29-71, an arrangement known as Helmholtz coils consists of two circular coaxial coils, each of N turns and radius R, separated by distance s. The two coils carry equal currents i in the same direction. (a) Show that the first derivative of the magnitude of the net magnetic field of the coils (dB/dx) vanishes at the midpoint P regardless of the value of s. Why would you expect this to be true from symmetry? (b) Show that the second derivative (d2 B/dx2) also vanishes at P, provided s = R. This accounts for the uniformity of B near P for this particular coil separation.
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