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Magnetic field due to infinitely long cylinder

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An infinitely long cylinder of circular cross section of radius a carries over current I^1 that is uniformly distributed over the cross-sectional area. The axis of the cylinder coincides with the z axis and I^1 is in the positive z direction. Choose a field point on the x axis and find B for all values of x, both inside and outside the cylinder.

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The solution examines a magnetic field due to infinitely long cylinders.

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