Re: An extension of Coulomb's law
- From: maxwell <spsi@xxxxxxx>
- Date: Sat, 27 Jun 2009 11:04:34 -0700 (PDT)
On Jun 24, 12:26 pm, musada <musa...@xxxxxxx> wrote:
The law of repulsion or attraction between electrically charged
particles, enunciated by Frenchman, Charles Augustin Coulomb (1736 –
1806), is one of the most significant principles of physics. A
distribution of stationary electric charges set up an electrostatic
field of magnitude E at a point P. An electric charge of magnitude q,
placed at P, experiences an electrostatic force of magnitude F = qE.
It is generally assumed that the force F is independent of speed v of
a particle of charge q. If, indeed, F is independent of speed, then a
charged particle may be accelerated, by an electrostatic field, to a
speed beyond that of light c, contrary to observation.
The belief in electrostatic force F being independent of speed v led
to the special theory of relativity, a contraption devised to prevent
a charged particle from attaining the speed of light. This is where
physics went astray at the beginning of the 20th century. It is hoped
to correct the situation in an extension of Coulomb’s law.
For a particle of charge q and mass m moving at time t with speed v
and acceleration dv/dt in the direction of an electrostatic field E,
the accelerating force F, in accordance with Newton’s second law of
motion, is proposed as:
F = qE(1 - v/c) = m(dv/dt) (1)
where c is the speed of light in a vacuum. The solution of this
differential equation, where E is uniform as in a linear accelerator,
gives c as the limit to which the particle can be accelerated with its
mass remaining constant.
A charged particle moving against the field is decelerated and the
force F becomes:
F = qE(1 + v/c) = -m(dv/dt) (2)
Here, the particle is decelerated to a stop and then accelerated in
the opposite direction to reach a limiting speed equal to –c.
The extension of Coulomb’s law, as proposed in equations (1) and (2)
above, gives the speed of light c as the ultimate speed to which a
charged particle, such as an electron, can be accelerated, with
constant mass, in contrast to the theory of special relativity.
The radiation force, in the direction of motion, is the difference qE
- F = qEv/c for an accelerated charged particle. Work done by the
radiation force appears as heat or light. The radiation power is qEv^2/
c.
For full information, please see:www.musada.net/Papers/Paper1.pdf
Coulomb's Law is only a statistical average, taken over quadrillions
of electrons and macroscopic time scales: as such, it should not be
taken as the basis for any fundamental theory in physics, like
Maxwell's EM or Special Relativity.
Your empirical revision is an attempt to incorporate the effect of
finite time delays (the 'speed of light') on the time differences
between high-speed moving electrons and these macro collections.
.
- References:
- An extension of Coulomb's law
- From: musada
- An extension of Coulomb's law
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