Lichtgeschwindigkeit in den Maxwell-Gleichungen?

Wo in den Maxwell-Gleichungen steckt die Lichtgeschwindigkeit?
Dass elektromagnetische Wellen eine Höchstgeschwindigkeit haben (von von ca. 300.000 km/s)

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SlowPhil
2 years ago

Hello ZuNiceFrage,

we only need 2 of the MAXWELL equations:

(M3) ∇×E› = −dB›⁄dt
(M4) ∇×B› = μ0∙j› + μ0∙dE›⁄dt = μ0∙j› + dE›⁄c2dt.

In vacuum, the current density j› = 0 is reduced, and there (M4) is reduced

(M4*) ∇×B› = dE›⁄c2dt.

E› is the electrical field strength, B› the magnetic flux density, μ0 is the magnetic field constant and ε0 is the electrical field constant. In addition,

(1) ∇:=(∂⁄4x ∂ ∂y ∂⁄4z)

the vector operator Nabla, who partially differentiates everything according to the coordinates behind it. The cross product stands for the differentiation taking place virtually “over cross”, namely in the form

(2) (∇×E›)e= ∂Ey⁄4x – ∂Ex⁄8y.

This size is also called “rotation”; it “misses” the “ringelrum” parts of a field.

tunik123
2 years ago

In the Maxwell equations ε0 and μ0 are inserted. The product from both is 1/c2.

JCMaxwell
2 years ago

I want to answer the question with a t-shirt.

zalto
2 years ago
Reply to  JCMaxwell

The CGS system is probably not dead.

SlowPhil
2 years ago
Reply to  JCMaxwell

Of course, this is not according to the SI with the standard units for charge, current and voltage.

ProfFrink
1 year ago
Reply to  JCMaxwell

Cool!