Helmholtz coils are composed of two coils of wire that have their centers on the same...

 

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Helmholtz coils are composed of two coils of wire that have their centers on the same axis, separated by a distance that is equal to the radius of the coils (figure below). The coils have N turns of wire that carry a current of i in the same direction. If one coil is centered at the origin, and the other at x = R. 00 1) If one coil is centered at the origin, and the other at x = R, derive expressions for the net magnetic field due to the coils at the points x = R/4. (Express your answer to three significant figures.) (*) HNI Submit 2) If one coil is centered at the origin, and the other at x = R, derive expressions for the net magnetic field due to the coils at the point x = 2R. (Express your answer to three significant figures.) () Submit Helmholtz coils are composed of two coils of wire that have their centers on the same axis, separated by a distance that is equal to the radius of the coils (figure below). The coils have N turns of wire that carry a current of i in the same direction. If one coil is centered at the origin, and the other at x = R. 00 1) If one coil is centered at the origin, and the other at x = R, derive expressions for the net magnetic field due to the coils at the points x = R/4. (Express your answer to three significant figures.) (*) HNI Submit 2) If one coil is centered at the origin, and the other at x = R, derive expressions for the net magnetic field due to the coils at the point x = 2R. (Express your answer to three significant figures.) () Submit

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