_Mass on the Electrical Theory of Matter._--One of the most
characteristic things about matter is the possession of mass. When we
take the electrical theory of matter the idea of mass takes new and
interesting forms. This point may be illustrated by the case of a single
electrified particle; when this moves it produces in the region around
it a magnetic field, the magnetic force being proportional to the
velocity of the electrified particle.[1] In a magnetic field, however,
there is energy, and the amount of energy per unit volume at any place
is proportional to the square of the magnetic force at that place. Thus
there will be energy distributed through the space around the moving
particle, and when the velocity of the particle is small compared with
that of light we can easily show that the energy in the region around
the charged particle is ([mu]e²)/(3a), when v is the velocity of the
particle, e its charge, a its radius, and [mu] the magnetic permeability
of the region round the particle. If m is the ordinary mass of the
particle, the part of the kinetic energy due to the motion of this mass
is ½mv², thus the total kinetic energy is ½[m + (2/3)[mu]e²/a]. Thus the
electric charge on the particle makes it behave as if its mass were
increased by (2/3)[mu]e²/a. Since this increase in mass is due to the
energy in the region outside the charged particle, it is natural to look
to that region for this additional mass. This region is traversed by the
tubes of force which start from the electrified body and move with it,
and a very simple calculation shows that we should get the increase in
the mass which is due to the electrification if we suppose that these
tubes of force as they move carry with them a certain amount of the
ether, and that this ether had mass. The mass of ether thus carried
along must be such that the amount of it in unit volume at any part of
the field is such that if this were to move with the velocity of light
its kinetic energy would be equal to the potential energy of the
electric field in the unit volume under consideration. When a tube moves
this mass of ether only participates in the motion at right angles to
the tube, it is not set in motion by a movement of the tube along its
length. We may compare the mass which a charged body acquires in virtue
of its charge with the additional mass which a ball apparently acquires
when it is placed in water; a ball placed in water behaves as if its
mass were greater than its mass when moving in vacuo; we can easily
understand why this should be the case, because when the ball in the
water moves the water around it must move as well; so that when a force
acting on the ball sets it in motion it has to move some of the water as
well as the ball, and thus the ball behaves as if its mass were
increased. Similarly in the case of the electrified particle, which when
it moves carries with it its lines of force, which grip the ether and
carry some of it along with them.
Public-domain text, read in full here on John Shaqi.
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