In Figure an arrangement known as Helmholtz coils consists of two circular coaxial coils, each of N
Question:
In Figure 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 (d2B/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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a The magnitude of the magnetic field on the axis of a circular loop a distance z from the loop cent...View the full answer
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Related Book For 
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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