Abstract
In the first two chapters, we reexamined basic concepts such as space and time starting from the most basic level. The philosopher Kant thought that these things would need to have been built into our brains in order to enable us to grasp the world around us. How did Einstein get the idea for his theory of special relativity? There was a road map at hand, a blueprint of what was to be expected: that was, and still is the theory of moving electrical charges, namely, electrodynamics. The reason is simple: while mass, time, and length change with speed relative to the observer, electrical charge is absolute, as is the speed of light. We will demonstrate this by a simple example, a straight wire carrying an electric current. We will see why the magnetic field around this wire exhibits relativity in everyday life. This example was the starting point for the theory of special relativity.
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Notes
- 1.
A. Einstein. Das Prinzip von der Erhaltung der Schwerpunktsbewegung und die Trägheit der Energie. Annalen der Physik, volume 20, page 627, 1906.
- 2.
Some textbooks specify the electrical current to flow in opposite direction to the flow of the electrons. Then the left-hand rule becomes a right-hand rule, but of course the physical phenomena do not change.
Some other textbooks use the Fleming left-hand rule. However, this rule uses the fingers in a different order, and would become a right-hand rule in our case. The electrons move in the direction of the right middle finger, and the magnetic field points in the direction of the right forefinger, so that the force on the moving electrons points in the direction of the thumb, that is, again upwards.
- 3.
Many textbooks use a rotating magnet for this thought experiment.
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Fischer, K. (2015). Light, Electricity, and Magnetism. In: Relativity for Everyone. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-17891-2_3
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DOI: https://doi.org/10.1007/978-3-319-17891-2_3
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