A current carrying wire is taken to be a prime magnetic source. A straight infinitely long wire is shown to be equivalent to a single positive charge (the ions) and a single negative charge (the current electrons) positioned at the wire directly opposite a test charge. Relative to a moving test charge the electric fields of these two charges are modified by the Lorentz Transform equations. The additional velocity of the current electrons causes the two fields to differ such that a net non-zero field results. This net field causes an acceleration of the test charge at 90degs to its velocity. This derivative of the electric field we call magnetism.

It is understandable that magnetism and electrostatics were initially considered to be separate forces with totally different origins. After all a magnet has no effect upon a charged body and vice-versa.

But in 1870 James Clerk Maxwell discovered a connection. Depending upon the observer's relative velocity to the source a magnetic effect could appear to be an electric effect--and vice versa. Maxwell developed his famous equations of electromagnetism which inter-relate the two effects, giving each equal relevance. For example, in the electromagnetic wave the magnetic and electric forces, act at 90degs to each other with equal significance. Thus Modern Physics has a schizophrenic view of the electric and magnetic effects. In the electromagnetic wave they are separate but connected effects. Elsewhere one effect may act as the other effect depending on the relative velocity of the test body.

An electric current through a wire creates a force field around the wire called the magnetic field. When the wire is formed into a circle, or indeed into many turns as in a solenoid, it exactly emulates the effect of a permanent magnet.

**Consider** the effect of a straight current carrying wire of infinite length (the **x** direction) upon a single test charge of unit value positioned at a distance **d** ( in the **y** direction) from the wire (shown above).

The wire consists of an equal number of positive ions and current electrons of which the linear density of each is taken to be **q _{L}**. Each separate charge in the wire creates a force upon the test charge as a function of its distance from the test charge. It can be shown that the net force of all the positive ions in the infinite length wire is the equivalent of the electric potential of a single point charge of value

Similarly the total force of all the current electrons is a charge of

Thus the picture is simplified to a single positive and single negative charge at the same point on the wire line at distance

For the calculations see the book

It might be expected that the electric potential field of the charge **+2q _{L}** is exactly cancelled at all times by the field of the charge

However the effect of velocity on electric fields (see The Electric Field in Aether Physics) must be taken into account.

When the wire ions, current electrons and the test charge are stationary with respect to each other the Aether velocity effects are identical for all. Relative to their own IRF the three fields are perfectly spherical.

However if a current flows in the wire then the current electrons have an additional velocity

However the contraction of the field is mainly in the

But now consider that the test charge is not stationary but is also moving relative to the wire in the

From the point of view of the test charge the relative velocity

Hence the electric field of charge

The net result is a field with a component gradient in the

The strength of this force may be calculated from the geometry of the rotated ellipsoid (see the book

Substituting the current **I** for **q _{L}V_{i}** and

With the test charge moving in the **x** direction the electric fields of the two charges,**+2q _{L}** and

The current velocity of charge

As

The G factors may be converted by the standard Lorentz Velocity Transform equation:-

In this case **V _{rx} = V_{r}** as the velocity is entirely in the

After conversion and taking the relative velocity to be much less than c and the current velocity to be less than the relative velocity we have:-

This is exactly the same result for the test charge velocity orthogonal to the wire described above.

**Thus the test charge experiences a force at 90degs. to its velocity whatever the direction of that velocity.**