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6) (ex) A set of Helmholtz coils is a pair of identical coils, each having radius a, Nturns, and current I. They are positioned a distance a apart with the axis of each coil on the x-axis. Each coil is parallel to the y-z plane, as shown. The origin is halfway between the coils. a) Determine the magnetic field magnitude and direction at any position x on the x-axis. b) Graph this magnetic field magnitude as a function of x, for values of x from x to x c) What is the magnetic field at point P, the origin? d) Calculate this value if N 200, I 5.00 A, and a 0.120 m.

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