On the calculation of the coefficient of mutual induction of a circle and a coaxial helix, and of the electromagnetic force between a helical current and a uniform coaxial circular cylindrical current sheet | Zendy

Jack Jones | Zendy

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On the calculation of the coefficient of mutual induction of a circle and a coaxial helix, and of the electromagnetic force between a helical current and a uniform coaxial circular cylindrical current sheet

Author(s) -

Jack Jones

Publication year - 1898

Publication title -

proceedings of the royal society of london

Language(s) - English

Resource type - Journals

eISSN - 2053-9126

pISSN - 0370-1662

DOI - 10.1098/rspl.1897.0104

Subject(s) - coaxial , helix (gastropod) , plane (geometry) , current (fluid) , physics , turn (biochemistry) , geometry , mathematics , mathematical analysis , electrical engineering , nuclear magnetic resonance , engineering , thermodynamics , ecology , snail , biology

1. Let MΘ be the coefficient of mutual induction of a circle and a portion of a coaxial helix, beginning in the plane of the circle and of helical angle Θ. Then if M is the coefficient of mutual induction of the circle, and any portion of the helix for which the extreme points are determined by helical angles Θ1 and Θ2 , we have M=MΘ2 –MΘ1 . It will therefore be sufficient to show how to calculate MΘ for all values of Θ.

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