Chapter
7

The electric field energy
of the electron

 

 

As we know, the electric field energy density is:

 

††††††††††††††††††††††††††††††††††††††††††††††††††† ††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† (7.1)

 

Integrating energy density for the sphere of radius r, we can get the electric field energy:

 

††††††††††††††††††††††††††††††††††††††††† ††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† (7.2)

 

With the electric field strength equation (4.2), then we can get:

 

††††††††††††† ††††††††††††††††† †††††††††††††††††††††††††††††††††††††††(7.3)

 

Thus:

 

†††††††††††††††††††††††††††††††††† †††††††††† ††††††††††††††††††††††††††††††††††(7.4)

 

Equation (7.4) is the electric energy distribution equation of electron. We find out that the electric field energy has the spherical exponential distribution inside of the electron.

 

When , thus:

 

†††††††††††††††††††††††††††††††††††††††††††††††††† ††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† (7.5)

 

Equation (7.5) is the electronís electric field total energy equation.

 

 

 


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