J. C. Maxwell’s, ‘Dynamical theory of the electromagnetic field’

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                                (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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J. C. Maxwell’s, ‘Dynamical theory of the electromagnetic field’, 1864. From The Royal Society, PT/72/7

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