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For a circular coil of radius R and N tu...

For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by, `B= (mu_0IR^2N)/(2(x^2+R^2)^(3/2))`. Consider two parallel co-axial circular coils of equal radius R, and number of turns N, carrying equal currents in the same direction, and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small as compared to R, and is given by, `B=0.72 (mu_0NI)/R` approximately.

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