If there are many bodies connected with A and B in a similar way but with different values of p and q we may treat the question in the same way by assuming [equations] where the summation is extended to all the bodies with their proper values of C, p, and q. Then the momentum of the system referred to A <s>and B<\s> is Lu + Mv and referred to B MU + Nv and we shall have [equations] (2) where X and Y are the external forces acting on A & B. (25) To make the illustration more complete we have only to suppose that the motion of A is resisted by a force proportional to its velocity which we may call Ru and that of B by a similar force which we may call Sv, R and S being coefficients of resistance Then if [xi] and [eta] are the forces on A and B [equations] (3) If <s>u<\s> the velocity of A be increased at the rate du/dt then in order to prevent B from moving a force [eta]=d/dt(Mu) must be applied to it This effect on B due to an increase of the velocity of A corresponds to the electromotive force on one circuit arising from an increase in the strength of a neighbouring circuit. This dynamical illustration is to be considered merely as assisting the reader to understand what is meant in mechanics by Reduced Momentum. The facts of the induction of currents as depending on the variations of the quantity called Electromagnetic Momentum or Electrotonic State rest on the experiments of Faraday*, <s>and<\s> Felici+ * Exp Res. Series I, IX + Annales de Chimie XXXIV (18 ) p64
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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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