Re: Magnetic Field of Finite Wire

RP wrote:

> Every wire is composed of a series of finite wire segments. A
> rectangular loop with parallel sides for instance, can certainly have
> finite sides (which are finite wire segments) carrying uniform current.
> The edge effect can be ignored if the turn radius is small compared to
> the length of the wire segment. The force between these segments can be
> calculated very approximately with Biot-Savart. As for the relativistic
> treatment I too have only seen it applied to infinitely long conductors,
> primarily by Purcell. I would appreciate it, and the OP probably would
> too, if anyone could provide a reference to such a derivation for finite
> parallel wire segments.

Take a look at

Moyssides, P. G. Calculation of the sixfold integrals of the
Biot-Savart-Lorentz
force law in a closed circuit, IEEE Trans. on Magnetics, 25 (1989),
4298-4306.

Moyssides, P. G. Calculation of the sixfold integrals of the Ampere
force law in a closed circuit, IEEE Trans. on Magnetics, 25 (1989),
4307-4312.

Moyssides, P. G. Experimental verification of the Biot-Savart-Lorentz
and Ampere
force laws in a closed circuit, IEEE Trans. on Magnetics, 25 (1989),
4313-4321.

Is this what you are looking for?

Eugene.

.