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Course Fundamentals of electrodynamics

Maxwell equations and electromagnetic waves
Electromagnetic wave (EM wave)
Level 3 (for advanced students)
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
  1. 1
    Lesson

    The 4 Maxwell's Equations: Important Basics You Need to Know

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

    Video

    Maxwells Equations explained extensively in 40 minutes!

    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 of the video
    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)
    Related formulas
    Formula

    3. Maxwell equation (integral form)

    Formula

    4. Maxwell equation (integral form)

  2. 2
    Related formulas
    Formula

    Wave equation for E-field

    Formula

    Wave equation for B-field

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