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Maxwell's equations are a standard topic in both school and college physics courses. But they are so... scary... that the most important part of the great scientist’s entire work remains behind the scenes. Everyone is trying to somehow understand what is going on there mathematically, but at the same time they do not delve into the essence of the physics of the work carried out. And there, by the way, there are some very interesting conclusions. It was Maxwell who generalized the logic of electric and magnetic fields and finally established the term “electromagnetic field”.
It was Maxwell who realized that light is electromagnetic energy. Maxwell described the interactions of charges through fields and essentially explained all the modern concepts that exist in electrodynamics. Based on Maxwell's work, Einstein later formulated his space-time glue connection based on the speed of light.
It turns out that Maxwell did not just scribble a complex system of equations, but practically described everything related to electrodynamics and generalized the works of scientists of that time. But we will find out exactly what he did and said in the video. In essence, the work is no less significant than Newton’s work in the field of classical mechanics. At the same time, we will analyze all four of Maxwell’s equations in an understandable form, find out the physical meaning of each and remember what nabla is.
CONTENT:
01:45 - Base for Maxwell research
03:00 - There weren’t four equations...
03:30 - The problem of charge interaction
04:40 - A field is like a mechanical set of gears
05:50 - Maxwell combined knowledge, but physicists didn’t really like it
06:50 - Electric and magnetic fields must be together
07:45 - Maxwell's ideas about the speed of light and the composition of light...from energy
09:36 - A field is a mathematical structure or set of parameters
11:56 - Mathematics without physics will be useless
13:15 - What is induction?
14:00 - What is field strength?
14:30 - What is the difference between integral form and differential form
14:52 - Who is Nabla?
15:08 - What is divergence?
15:40 - What is a field rotor?
16:45 - What kind of goose with a circle?
17:40 - How is differential calculus different from integral?
18:16 - Physical meaning of each Maxwell equation
30 мар 2024
