James Clerk Maxwell and Modern PhysicsGlazebrook, Richard
History
James Clerk Maxwell and Modern Physics
Glazebrook, Richard
Maxwell, James Clerk, 1831-1879; Physics -- History
Faraday had pointed out that the inductive action between two bodies
takes place along the lines of force, which tend to shorten along their
length and to spread outwards in other directions. Maxwell compares
them to the fibres of a muscle, which contracts and at the same time
thickens when exerting force. In the electric field there is, on
Maxwell’s theory, a tension along the lines of electric force and a
pressure at right angles to those lines. Maxwell proved that a tension
K R²/8 π along the lines of force, combined with an equal pressure
in perpendicular directions, would maintain the equilibrium of the
field, and would give rise to the observed attractions or repulsions
between electrified bodies. Other distributions of stress might be
found which would lead to the same result. The one just stated will
always be connected with Maxwell’s name. It will be noticed that the
tension along the lines of force and the pressure at right angles to
them are each numerically equal to the potential energy stored per unit
of volume in the field. The value of each of the three quantities is K
R²/8 π.
In the same way, in a magnetic field, there is a state of stress, and
on Maxwell’s theory this, too, consists of a tension along the lines
of force and an equal pressure at right angles to them, the values of
the tension and the pressure being each equal to that of the magnetic
energy per unit of volume, or μH²/8π.
In a case in which both electric and magnetic force exists, these two
states of stress are superposed. The total energy per unit of volume
is KR²/8π + μH²/8π; the total stress is made up of tensions KR²/8π and
μH²/8π along the lines of electric and magnetic force respectively, and
equal pressures at right angles to these lines.
We see, then, from Maxwell’s theory, that electric force produced at
any given point in space is transmitted from that point by the action
of the ether. The question suggests itself, Does the transmission take
time, and if so, does it proceed with a definite velocity depending on
the nature of the medium through which the change is proceeding?
According to the molecular-vortex theory, we have seen that waves of
electric force are transmitted with a definite velocity. The more
general theory developed in the “Electricity and Magnetism” leads to
the same result. Electric force produced at any point travels outwards
from that point with a velocity given by 1/√(Kμ). At a distant point
the force is zero, until the disturbance reaches it. If the disturbance
last only for a limited interval, its effects will at any future time
be confined to the space within a spherical shell of constant thickness
depending on the interval; the radii of this shell increase with
uniform speed 1/√(Kμ).
Public-domain text, read in full here on John Shaqi.
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