Two circular coils of radius R, each with N turns, are perpendicular to a common axis. The coil centers are a distance R apart. Each coil carries a steady current I in the same direction as shown in Figure P29.38. (a) Show that the magnetic field on the axis at a distance x from the center of one coil is

$B = \frac{N μ_{0} I R^{2}}{2} [\frac{1}{{(R^{2} + x^{2})}^{3 / 2}} + \frac{1}{{(2 R^{2} + x^{2} - 2 R x)}^{3 / 2}}]$

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Two circular coils of radius R, each with N turns, are perpendicular to a common axis. The coil centers are a distance R apart. Each coil carries a steady current I in the same direction as shown in Figure P29.38. (a) Show that the magnetic field on the axis at a distance x from the center of one coil is

$B = \frac{N μ_{0} I R^{2}}{2} [\frac{1}{{(R^{2} + x^{2})}^{3 / 2}} + \frac{1}{{(2 R^{2} + x^{2} - 2 R x)}^{3 / 2}}]$

Chapter 29, Problem 38AP, Two circular coils of radius R, each with N turns, are perpendicular to a common axis. The coil

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