Electrodynamics: Electric and Magnetic Fields

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  • Electrostatic Analogs
    • This module covers the how electrodynamic solutions can be used to find solutions applicable to other fields. We describe how electrodynamics is comparable to heat transfer, membrane physics, neutron diffusion, and other natural phenomenon. Through these comparisons, understanding of other physics can be realized.
  • Magnetostatics
    • This module introduces magnetostatics, and the magnetic field outside of different geometries, and how relativity can be used to understand magnetic forces. To lead into this, we will describe how to characterize current in a wire and while doing this, attention will again be drawn to the similarities between electrostatics and magnetostatics
  • The Magnetic Field in Various Situations
    • This lecture introduces the concept of the magnetic vector potential, which is analogous to the electric potential. We explain the distribution of the magnetic potential and how to use it when solving for the electric field. The magnetic dipole is also introduced and the Biot-Savart law is described.
  • Assessing the Vector Potential
    • In the first part of this module, we explore the topic of energy and work in the context of electrodynamics. Then we explain the usefulness of the magnetic vector potential (A) and why it is a real field. Finally, we tie these concepts with quantum mechanical electrodynamics, and reveal equations that are useful beyond the scope of statics.
  • Induced Currents
    • In the final module, we mostly cover the electromotive force, induced currents, and how they may be applied to create devices. We show how forces, electric currents, and magnetism all interact in order to operate machinery.