That all three theories give the same values for the ponderomotive force in resting bodies, is caused (in the sense of our system) by the fact, that the equations connecting and with and , are in agreement (including the terms linear in ). The notation of Lorentz's theory may be employed in the discussion of the force in resting bodies.
If one sets value (61b) for , then the ponderomotive force (61) can be decomposed into two parts
which are to be interpreted as the contributions of the electric and magnetic field.
From the main equations for resting bodies
one derives, by introduction of the electric and magnetic polarization
the two following relations
With respect to them, expressions (62) go over into
Since it furthermore holds
it eventually becomes