A pair of Helmholtz coils are often used in laboratories to produce magnetic fields. The coils consist of two rings of radius R on a common axis separated by a distance R. The rings carry equal currents in the same direction. Suppose that the coils are parallel to the X-Y plane and their centers are at Z =+ R/2. (a) Find the magnetic field Bz on the z-axis. (b) Show that at z = 0, the first, the second and the third derivatives vanish.
A pair of Helmholtz coils are often used in laboratories to produce magnetic fields. The coils consist of two rings of radius R on a common axis separated by a distance R. The rings carry equal currents in the same direction. Suppose that the coils are parallel to the X-Y plane and their centers are at Z =+ R/2. (a) Find the magnetic field Bz on the z-axis. (b) Show that at z = 0, the first, the second and the third derivatives vanish.
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Transcribed Image Text:A pair of Helmholtz coils are often used in laboratories to produce
magnetic fields. The coils consist of two rings of radius R on a common
axis separated by a distance R. The rings carry equal currents in the same
direction. Suppose that the coils are parallel to the X-Y plane and their
centers are at Z =+ R/2.
(a) Find the magnetic field Bz on the z-axis.
(b) Show that at z = 0, the first, the second and the third derivatives
vanish.
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