V P.6-6 Two identical coaxial coils, each of N turns and radius b, are separated by...

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V P.6-6 Two identical coaxial coils, each of N turns and radius b, are separated by a distance d, as depicted in Fig. 6-29. A current I flows in each coil in the same direction. a) Find the magnetic flux density B= a,B, at a point midway between the coils. b) Show that dB/dx vanishes at the midpoint. c) Find the relation between b and d such that d'B/dx? also vanishes at the midpoint. Such a pair of coils are used to obtain an approximately uniform magnetic field in the midpoint region. They are known as Helmholt: coils. Fig. 6-29 (Problems P.6-6). Helmholtz coils V P.6-6 Two identical coaxial coils, each of N turns and radius b, are separated by a distance d, as depicted in Fig. 6-29. A current I flows in each coil in the same direction. a) Find the magnetic flux density B= a,B, at a point midway between the coils. b) Show that dB/dx vanishes at the midpoint. c) Find the relation between b and d such that d'B/dx? also vanishes at the midpoint. Such a pair of coils are used to obtain an approximately uniform magnetic field in the midpoint region. They are known as Helmholt: coils. Fig. 6-29 (Problems P.6-6). Helmholtz coils