Alexander Fufaev

Electrodynamics

Lessons

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Lesson

The 4 Maxwell Equations in Vacuum

Elektrischer Fluss - Skalarprodukt von Flächenorthogonalvektor und E-Feld

Simple explanation of the Maxwell's equations for beginners. The divergence integral and the curl integral theorems are also explained.

Videos

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Video

Electric current

Electric current

In this video you will learn the basics of the electric current, i.e. the definition, its physical meaning and unit.⠀

Content
  1. ⏲ [00:25] Electric charges
  2. ⏲ [02:11] What causes the electric current?
  3. ⏲ [03:42] Formula + unit of electric current
  4. ⏲ [05:43] Is one ampere a large current?
  5. ⏲ [06:44] Summary
Video

Maxwells Equations

Maxwell equations

The Maxwell’s equations are studied in the second semester of physics. Here you will learn EVERYTHING about them just within 40 minutes - explained for BEGINNERS!

Content
  1. ⏲ [00:14] Applications of the Maxwell equations
  2. ⏲ [02:08] Electric field vector
  3. ⏲ [05:12] Magnetic field vector
  4. ⏲ [10:15] Divergence integral theorem - this mathematical theorem combines the volume integral of the divergence of a vector field with the surface integral of this vector field.
  5. ⏲ [10:15] Divergence integral theorem - this mathematical theorem combines the volume integral of the divergence of a vector field with the surface integral of this vector field.
  6. ⏲ [17:50] Curl integral theorem - this mathematical theorem combines the surface integral of the curl of a vector field with the line integral of this vector field.
  7. ⏲ [23:58] The FIRST Maxwell’s equation - states that the charges are sources and sinks of the electric field.
  8. ⏲ [27:46] The SECOND Maxwell’s equation - states that magnetic charges always occur as dipoles. There are no magnetic monopoles.
  9. ⏲ [30:23] The THIRD Maxwell’ equation (Faraday’s law of induction) - states that a time-varying magnetic field generates an electric field and vice versa. This Maxwell equation contain also the Lenz’s rule.
  10. ⏲ [35:02] THE FOURTH Maxwell’s equation - states that the magnetic field can be generated by electric currents and time-varying electric fields (displacement current)

Formulas

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FormulaPlate Capacitor (Capacitance)

Illustrations

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Plate capacitor
Plate capacitor
Electric flux and enclosed charge (1st Maxwell equation)
Electric flux and enclosed charge (1st Maxwell equation)
Fourth Maxwell equation: Constant electric current generates B-field
Fourth Maxwell equation: Constant electric current generates B-field
Current + time-dependent E-field generate a rotating B-field and vice versa
Current + time-dependent E-field generate a rotating B-field and vice versa
Electrical voltage (general definition)
Electrical voltage (general definition)
Cross product between velocity and magnetic field
Cross product between velocity and magnetic field
Time changing magnetic field generates a rotating electric field and vice versa
Time changing magnetic field generates a rotating electric field and vice versa
Second Maxwell equation in integral form
Second Maxwell equation in integral form
Lorentz force: electron in a magnetic field
Lorentz force: electron in a magnetic field
Divergence Integral Theorem (Divergence + Flux)
Divergence Integral Theorem (Divergence + Flux)
Electric flux - scalar product of surface orthogonal vector and E-field
Electric flux - scalar product of surface orthogonal vector and E-field