Abstract
So far you will have encountered various expressions from electrostatics and magnetostatics which we will show can then be synthesised into four equations, the Maxwell equations which, with the Lorentz force law, are a complete description of the behaviour of charged particles and electromagnetic fields.
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Notes
- 1.
The need for a field theory that permits both a continuous, classical limit, and discrete quanta (photons in the case of electromagnetic fields) was highlighted by the discovery of the photoelectric effect.
- 2.
We will make use of the “cold gas” model several times in this book, in all cases it is defined as here: a population of identical particles which all have the same velocity \(\mathbf{v}(\mathbf{r},t)\) at any given position and time.
- 3.
Note that this is a non relativistic, or Galilean, frame transformation. The relativistic treatment is in Chap. 3.
- 4.
The properties of these waves are explored in the revision problems.
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Chapman, S. (2021). A Brief Tour of Electromagnetism. In: Core Electrodynamics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-66818-1_1
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DOI: https://doi.org/10.1007/978-3-030-66818-1_1
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