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Visualisation of Electric Field Lines
for Moving Charge Carriers
In 1924 Leigh Page published a so-call Emission Theory of Electromagnetism. The basic idea is that for a single charge carrier socalled "moving elements" are leaving in all direction with the speed of light. These particles are purely kinematical in nature, meaning, that they do not carry any energy or momentum. The path of those virtual particles, which are emitted under the same angle, correspond with the well known lines of force, normally used to indicate the strength and symmetry of the Coulomb field around a charge carrier. The basic ideas of this emission theory, which include relativity effects, can be used as algorithm for a simulation program to visualize processes like those in the Berkeley Physics Course and many other similar processes. Such a program was develped at the IPN-Kiel, called XYZET.
For more information please contact:
Videos produced with XYZET for different constellations:
1.Field lines for a particle moving with high speed
A charged particle, initially at rest, is accelerated briefly and then moves in the x direction with v = 0.6c.
In calculating the presented field lines, the information about the actual location of the particle is taken into account.
mp4-file for downloading
2. The so-called bremsstrahlung
A negatively charged particle is deflected when passing by a positively charged particle.
In calculating the field lines shown, the finite propagation velocity of the information about the respective location of the particle is taken into account.
Thus, the radiation which advances the deflected particle becomes visible, the so-called ,bremsstrahlung
mp4-file for downloading
3. cyclotron radiation
The classical field lines are shown for a fast rotating charged particle.
This is followed by field lines calculated on the basis of the Emission Theory of Leigh Page.
Taking into account the finite propagation velocity of information about the actual position of the particle, the formation of the cyclotron radiation becomes clear.
mp4-file for downloading
4. Field lines for a rotating charge carrier
First the classical field lines are shown for a rotating charged particle. (v = 0.2 c)
This is followed by field lines calculated on the basis of the Emission Theory of Leigh Page.
Taking into account the finite propagation velocity of information about the actual position of the particle, most of all retardation effects becomes clear.
mp4-file for downloading
5. Field lines for an oscillating particle in 2D
For an oscillating charged particle the field lines are shown, corresponding to the usual classical form.
Thereafter, the shown field lines are calculated on the basis of the Emission Theory of Leigh Page, whereby retarding effects as well as the relativistic change of the Coulomb field become visible.
Maxmum speed vmax= 0,34
mp4-file for downloading
6. Field lines for an oscillating particle in 3D
For an oscillating charged particle, field lines corresponding to the usual classical form are shown.
(Presentation im in 3 dimensions)
Afterwards, field lines are shown on the basis of the Emission Theory of Leigh Page, whereby mainly retarding effects become visible.
Maximum speed vmax= 0,75 c
mp4-file for downloading
7. Field lines for an oscillating particle in 3D
For a charged particle, oscillating with rather high frequency, the field lines are shown, corresponding to the usual classical form.
Thereafter, the shown field lines are calculated on the basis of the Emission Theory of Leigh Page, where most of all retarding effects become visible.
Maximum speed vmax= 0,54 c
mp4-file for downloading
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