# J. C. Maxwell’s, ‘Dynamical theory of the electromagnetic field’ ```                                (65) The complete equations of Electromotive force on a moving
conductor may now be written as follows

Equations of Electromotive Force

P = [mu]([gamma] dy/dt - [beta] dz/dt) - dF/dt - d[psi]/dx
Q = [mu]([alpha] dz/dt - [gamma] dx/dt) - dG/dt - d[psi]/dy
R [=] [mu]([beta] dx/dt - alpha] dy/dt) - dH/dt - d[phi]/dz (D)

The first term on the right hand side of each equation
represents the electromotive force arising from the motion of
the conductor itself. This electromotive force is perpendicular
to the direction of motion and to the lines of magnetic force
and if a parallelogram be drawn whose sides represent
in direction and magnitude the velocity of the conductor
and the magnetic induction at that point of the field
then the area of the parallelogram will represent the
electromotive force due to the motion of the conductor.
The second term in each equation indicates the effect
of changes in the position or strength of magnets or
currents in the field.

The third term shows the effect of the electric potential [psi]
It has no effect in causing a circulating current in a
closed circuit. It indicates the existence of a force urging
the electricity to or from certain definite points in the field
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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