James Clerk Maxwell and Modern PhysicsGlazebrook, Richard
History
James Clerk Maxwell and Modern Physics
Glazebrook, Richard
Maxwell, James Clerk, 1831-1879; Physics -- History
In maintaining the currents in the wires energy is needed to supply
the heat which is produced in each wire; but in starting the currents
it is found that more energy is needed than is requisite for the
supply of this heat. This excess of energy can be calculated, and when
the calculation is made it is found that the excess is equal to half
the sum of the products of the currents and corresponding momenta.
Moreover, if this sum be expressed in terms of the magnetic force, it
is found to be equal to μ H²/8 π, which is the magnetic energy of the
field. Now, when a dynamical system is set in motion against known
forces, more energy is supplied than is needed to do the work against
the forces; this excess of energy measures the kinetic energy acquired
by the system.
Hence, Maxwell was justified in taking the magnetic energy of the field
as the kinetic energy of the mechanical system, and if the strengths
of the currents in the wires be taken to represent the velocities of
the driving-points, this energy is measured in terms of the electrical
velocities and momenta in exactly the same way as the energy of a
mechanical system is measured in terms of the velocities and momenta of
its driving-points.
The mechanical system in which, according to Maxwell, the energy is
stored is the ether. A state of motion or of strain is set up in the
ether of the field. The electric forces which drive the currents, and
also the mechanical forces acting on the conductors carrying the
currents, are due to this state of motion, or it may be of strain, in
the ether. It must not be supposed that the term electric displacement
in Maxwell’s mind meant an actual bodily displacement of the particles
of the ether; it is in some way connected with such a material
displacement. In his view, without motion of the ether particles
there would be no electric action, but he does not identify electric
displacement and the displacement of an ether particle.
His mechanical theory, however, does account for the electro-magnetic
forces between conductors carrying currents. The energy of the system
depends on the relative positions of the currents which form part of
it. Now, any conservative mechanical system tends to set itself in
such a position that its potential energy is least, its kinetic energy
greatest. The circuits of the system, then, will tend to set themselves
so that the electro-kinetic energy of the system may be as large as
possible; forces will be needed to hold them in any position in which
this condition is not satisfied.
We have another proof of the correctness of the value found for the
energy of the field in that the forces calculated from this value agree
with those which are determined by direct experiment.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account