Thursday, July 2, 2015

Electric convection current

Electric convection current
where ρ is electric charge density.  was seen as a kind of magnetic current of vortices aligned in their axial planes,  with  being the circumferential velocity of the vortices. With µ representing vortex density, we can now see how the product of µ with vorticity  leads to the term magnetic flux density which we denote as.
The electric current equation can be viewed as a convective current of electric charge that involves linear motion. By analogy, the magnetic equation is an inductive current involving spin. There is no linear motion in the inductive current along the direction of the   vector. The magnetic inductive current represents lines of force. In particular, it represents lines of inverse square law force.
The extension of the above considerations confirms that where  is to, and where is to ρ, then it necessarily follows from Gauss's law and from the equation of continuity of charge that  is to. i.e.  parallels with , whereas  parallels with .
In SI units,  and are measured in teslas (T) and amperes per metre (A/m), respectively; or, in cgs units, in gauss (G) and oersteds (Oe), respectively. Two parallel wires carrying an electric current in the same direction will generate a magnetic field that will cause a force of attraction between them. This fact is used to define the value of an ampere of electric current.
The fields  and  are also related by the equation
        (SI units)

  (cgs units), where  is magnetization.

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