(42) If an electromotive force of the form [xi] = E cos pt acts on the circuit R, then if the circuit S is removed the value of x will be x = E/A sin (pt  [alpha]) where A<sup>2<\sup> = R<sup>2<\sup> + L<sup>2<\sup>p<sup>2<\sup> and tan [alpha] = Lp/R The effect of the presence of the circuit S in the neighbourhood is to alter the value of A and [alpha] to that which they would be if R became R + p<sup>2<\sup> MS/ S<sup>2<\sup> = p<sup>2<\sup>N<sup>2<\sup> and L became L  p<sup>2<\sup> MN/ S<sup>2<\sup> = p<sup>2<\sup>N<sup>2<\sup> Hence the effect of the circuit S is to increase the apparent resistance and diminish the apparent self induction of the circuit R
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Manuscript details
 Author
 James Clerk Maxwell
 Reference
 PT/72/7
 Series
 PT
 Date
 1864
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Cite as
J. C. Maxwell’s, ‘Dynamical theory of the electromagnetic field’, 1864. From The Royal Society, PT/72/7
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