A pair of Helmholtz coils are often used in laboratories to producemagnetic fields. The coils consist of two rings of radius R on a commonaxis separated by a distance R. The rings carry equal currents in the samedirection. Suppose that the coils are parallel to the X-Y plane and theircenters 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 derivativesvanish.

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