Two identical coaxial coils, each of N turns 00 and radius b, are separated by a distance d. A current I flows in each coil in the same direction. a) Find the magnetic flux density B = ,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/dx² also vanishes at the midpoint.
Two identical coaxial coils, each of N turns 00 and radius b, are separated by a distance d. A current I flows in each coil in the same direction. a) Find the magnetic flux density B = ,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/dx² also vanishes at the midpoint.
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Question One
Two identical coaxial coils, each of N turns
and radius b, are separated by a distance d.
A current I flows in each coil in the same
direction.
a) Find the magnetic flux density B = ,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 is used to obtain an approximately uniform
magnetic field in the midpoint region. They are known as Helmholtz
coils.
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