Chapter |

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The electric charge
conservation is one of the basic conservation law in physics.

The electric charge
conservation law is as follows:

_{} (11.1)

In which _{} is the electric
charge density.

Let us prove that
the electric charge conservation equation is valid for the electron.

Combine
the electron velocity equation (10.11) and the electric field equation (4.2),
then we can get:

_{} (11.2)

As we know:

_{}
(11.3)

Thus:

_{} (11.4)

From
the electric charge density equation (2.1), thus:

_{}
(11.5)

From
equation (4.2), we know that:

_{} (11.6)

Thus,
we can get

_{} (11.7)

Compare this with
the hydromagnetic equation (dynamo equation), which is as follows:

_{} (11.8)

In which_{} is the constant of the magnetic
diffusivity.

We can see that
there are many similarities between these two equations; we then call the equation
(11.7) as the hydroelectric equation of
electromagnetic field.

Because:

_{} (11.9)

Thus:

_{} (11.10)

Equation
(11.10)
is the electron electric charge conservation equation, which is also called the
electric charge continuity equation.

What
is the electron spin?
ISBN 0-9743974-9-0 Copyright © 2003 Gengyun Li All rights reserved http://www.electronspin.org |