Chapter 7 --- The electric field energy of the electron

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 electron’s electric field total energy equation.