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The equivalence of magnetic and kinetic energy



The equivalence of magnetic and kinetic energy

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

An elec­tric charge placed in vac­uum pro­duces an elec­tro­sta­tic field that sur­rounds the charge. When an observer moves rel­a­tively to a charge, the observed elec­tro­sta­tic field changes in time. The observer mov­ing rel­a­tively to the charge will, apart from mea­sur­ing an alter­ing elec­tro­sta­tic field, mea­sure a mag­netic field due to the rel­a­tive move­ment to the charge. The pres­ence of a mag­netic field indic

ates mag­netic energy.

For an observer, mov­ing rel­a­tively to a mass, the rel­a­tive speed of the mass presents kinetic energy. Kinetic energy exists only if there is rel­a­tive movement.

Kinetic and mag­netic energy are com­pa­ra­ble in the way that both forms of energy exist only when there is rel­a­tive motion of mass respec­tively elec­tric charge to an observer.

An elec­tron is a mass and charge that moves rel­a­tively to an observer and there­fore presents both kinetic and mag­netic energy. We will con­sider only non-​relativistic veloc­i­ties, because rel­a­tivis­tic con­di­tions unnec­es­sar­ily com­pli­cate the sit­u­a­tion with­out adding any addi­tional insight.

The ques­tions I want to be answered are

  • How much energy does the mag­netic field of a mov­ing charge present?
  • What is the rela­tion between the mag­netic and kinetic energy of a charged mass?

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

An electric charge placed in vacuum produces an electrostatic field that surrounds the charge. When an observer moves relatively to a charge, the observed electrostatic field changes in time. The observer moving relatively to the charge will, apart from measuring an altering electrostatic field, measure a magnetic field due to the relative movement to the charge. The presence of a magnetic field indic

ates magnetic energy.

For an observer, moving relatively to a mass, the relative speed of the mass presents kinetic energy. Kinetic energy exists only if there is relative movement.

Kinetic and magnetic energy are comparable in the way that both forms of energy exist only when there is relative motion of mass respectively electric charge to an observer.

An electron is a mass and charge that moves relatively to an observer and therefore presents both kinetic and magnetic energy. We will consider only non-relativistic velocities, because relativistic conditions unnecessarily complicate the situation without adding any additional insight.

The questions I want to be answered are

  • How much energy does the magnetic field of a moving charge present?
  • What is the relation between the magnetic and kinetic energy of a charged mass?

 

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