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The magnetic field due to a constant current through a circular loop is the same shape, outside the loop, as the field due to a bar magnet. At the centre of the loop the field can be found, using the Biot-Savart Law, to be

(Equation 1: URL in related links),

where ?0 is the permeability of free space, I is the current through the loop, R is the radius of the loop and z-hat is a unit vector perpendicular to the plane of the loop. The field on the axis of the loop can be found, again using the Biot-Savart Law, to be

(Equation 2: URL in related links),

where z is the distance from the centre of the loop along its axis and all other symbols have the same meaning as in the previous equation.

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