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The moving electron and magnetic energy



The moving electron and magnetic energy

When you are inter­ested in physics you must read “Unbe­liev­able”!

The clas­si­cal radius or Comp­ton radius (Rc) of an elec­tron is cal­cu­lated by means of the Compton-​equation:

meter.

With Me the rest mass of the elec­tron, Qe the ele­men­tary charge of an electron.

The equa­tion for the mag­netic energy of a charged (Qe) bulb (Rc) mov­ing with a rel­a­tive speed Ve, is:

When sub­sti­tut­ing the mass equiv­a­lence, Me, of the Compton-​equation in the for­mula for the mag­netic energy Wm and con­sid­er­ing , we get:

So when we assume the elec­tron has the radius Rc, derived with the Compton-​equation, the mag­netic energy of the mov­ing elec­tron presents energy equal to the kinetic energy of that same electron.

A mov­ing “pure elec­tro­sta­tic mass” presents mag­netic energy accord­ing to , while the mag­netic energy of a mov­ing elec­tron with the Compton-​radius Rc has a mag­netic energy of .

What causes the difference?

Con­sid­er­ing the Compton-​equation and the elec­tro­sta­tic energy of a charged bulb , we observe that the dif­fer­ence between the for­mu­las is a fac­tor two. The Compton-​equation “stores” twice as much energy as a charged bulb with the same charge and radius. This dif­fer­ence explains exactly the dif­fer­ence between the equa­tions for the mag­netic energy , for the mov­ing charged bulb, and for the mov­ing elec­tron with the Compton-​radius.

The Compton-​equation “stores” twice as much energy as the for­mula for a charged bulb. We know that apart from a charge, the elec­tron also has a spin. The mag­netic spin of the elec­tron is not con­sid­ered in the Compton-​equation.

In the pre­vi­ous chap­ter “The Elec­tron” the total energy of an elec­tron Wt, at rest, is pre­sented by the formula:

In this pre­sen­ta­tion of the total energy of an elec­tron at rest, half the energy is pre­sented by elec­tro­sta­tic energy , con­sis­tent with the energy of a charged bulb, and the other half of the energy by , the mag­netic spin energy of the electron.

Cal­cu­lat­ing the radius with this equa­tion, the radius Re of an elec­tron becomes meter: exact the Comp­ton radius.

When we con­sider half the intrin­sic energy of the elec­tron at rest is pre­sented by elec­tro­sta­tic energy and the other half by the mag­netic spin energy, the mag­netic energy of a mov­ing elec­tron will be:

When half of the intrin­sic energy of the mass of the elec­tron is pre­sented by the elec­tro­sta­tic energy and the other half by the mag­netic spin energy, the cal­cu­lated mag­netic energy of the mov­ing elec­tron is equal to the kinetic energy of that electron.

Because the kinetic energy of an elec­tron is and at the same time the mag­netic energy (Wm) is also , the kinetic energy of the elec­tron must be the same energy as the mag­netic energy. Oth­er­wise the con­ser­va­tion law for energy is vio­lated every time an elec­tron is accel­er­ated or slowed down.

Next chap­ter: The Elec­tro­mag­netic Mass

When you are interested in physics you must read “Unbelievable“!

The classical radius or Compton radius (Rc) of an electron is calculated by means of the Compton-equation:

       meter.

With Me the rest mass of the electron, Qe the elementary charge of an electron.

The equation for the magnetic energy of a charged (Qe) bulb (Rc) moving with a relative speed Ve, is:

When substituting the mass equivalence, Me, of the Compton-equation in the formula for the magnetic energy Wm and considering , we get:

So when we assume the electron has the radius Rc, derived with the Compton-equation, the magnetic energy of the moving electron presents energy equal to the kinetic energy of that same electron.

A moving “pure electrostatic mass” presents magnetic energy according to , while the magnetic energy of a moving electron with the Compton-radius Rc has a magnetic energy of .

What causes the difference?

Considering the Compton-equation  and the electrostatic energy of a charged bulb , we observe that the difference between the formulas is a factor two. The Compton-equation “stores” twice as much energy as a charged bulb with the same charge and radius. This difference explains exactly the difference between the equations for the magnetic energy , for the moving charged bulb, and  for the moving electron with the Compton-radius.

The Compton-equation “stores” twice as much energy as the formula for a charged bulb. We know that apart from a charge, the electron also has a spin. The magnetic spin of the electron is not considered in the Compton-equation.

In the previous chapter “The Electron” the total energy of an electron Wt, at rest, is presented by the formula:

In this presentation of the total energy of an electron at rest, half the energy is presented by electrostatic energy , consistent with the energy of a charged bulb, and the other half of the energy by , the magnetic spin energy of the electron.

Calculating the radius with this equation, the radius Re of an electron becomes  meter: exact the Compton radius.

When we consider half the intrinsic energy of the electron at rest is presented by electrostatic energy and the other half by the magnetic spin energy, the magnetic energy of a moving electron will be:

When half of the intrinsic energy of the mass of the electron is presented by the electrostatic energy and the other half by the magnetic spin energy, the calculated magnetic energy of the moving electron is equal to the kinetic energy of that electron.

Because the kinetic energy of an electron is  and at the same time the magnetic energy (Wm) is also , the kinetic energy of the electron must be the same energy as the magnetic energy. Otherwise the conservation law for energy is violated every time an electron is accelerated or slowed down.

Next chapter: The Electromagnetic Mass

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