A Treatise On Electricity And Magnetism volume 2

Cover A Treatise On Electricity And Magnetism volume 2
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11835), where n is the number of windings, and I the length of the wire, M the mutual induction of two circuits of the form of the mean wire of the coil placed at a distance R from each other, where R is the mean geometric distance between pairs of points of the section. D is the distance between consecutive wires, and d the diameter of the wire.
CHAPTER XIV.
CIRCULAR CURRENTS.
Magnetic Potential due to a Circular Current.
694. ] THE magnetic potential at a given point, due to a circuit carryin
...g a unit current, is numerically equal to the solid angle sub- tended by the circuit at that point ; see Arts. 409, 485.
When the circuit is circular, the solid angle is that of a cone of the second degree, which, when the given point is on the axis of the circle, becomes a right cone. When the point is not on the axis, the cone is an elliptic cone, and its solid angle is numerically equal to the area of the spherical ellipse which it traces on a sphere whose radius is unity.
This area can be expressed in finite terms by means of elliptic integrals of the third kind.


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