electric and magnetic fields of a moving point-like charge

[ANS]

By what, if any, methods other than by means of the Lienard-Wiechert
potentials can the electric and magnetic fields of a moving point-like
charge be derived? Any references would be greatly appreciated.

Armin

[Richard Harke]

ANS wrote:

> By what, if any, methods other than by means of the Lienard-Wiechert
> potentials can the electric and magnetic fields of a moving point-like
> charge be derived? Any references would be greatly appreciated.
>
> Armin
You might like to look at:
"Geometric Algebra for Physicists" by
Chris Doran and Anthony Lasenby
In particular, Chapter 7

Richard Harke

[vivishek]

On Jul 25, 12:25 am, ANS <ar...@umich.edu> wrote:
> By what, if any, methods other than by means of the Lienard-Wiechert
> potentials can the electric and magnetic fields of a moving point-like
> charge be derived? Any references would be greatly appreciated.
>
> Armin

Try the Feynman-Heaviside formalism for the field of an accelerated
point charge. You can find it in J D Jackson's 'Classical
Electrodynamics' 3rd Ed.

[Jen]

On Jul 24, 3:25*pm, ANS <ar...@umich.edu> wrote:
> By what, if any, methods other than by means of the Lienard-Wiechert
> potentials can the electric and magnetic fields of a moving point-like
> charge be derived? Any references would be greatly appreciated.
>
> Armin

If the particle is traveling at relativistic speeds, you can perform a
Lorentz transformation of the fields.

[Timo Nieminen]

On Thu, 24 Jul 2008, ANS wrote:

> By what, if any, methods other than by means of the Lienard-Wiechert
> potentials can the electric and magnetic fields of a moving point-like
> charge be derived? Any references would be greatly appreciated.

The Heaviside-Feynman equations give the fields directly (Heaviside did
it first, but Feynman's later rediscovery seems to be better known).

These can be found in Heaviside, Electromagnetic theory vol 3, and in
the Feynman lectures. We used them in Pfeifer & Nieminen, Eur. J. Phys.
27, 521 (2006). But beware a typo in our equations - corrected in an
erratum in 2007. The version on arxiv should be correct:

http://arxiv.org/abs/physics/0602061

--
Timo Nieminen - Home page: http://www.physics.uq.edu.au/people/nieminen/
E-prints: http://eprint.uq.edu.au/view/person/Nieminen,_Timo_A..html
Shrine to Spirits: http://www.users.bigpond.com/timo_nieminen/spirits.html