Domain of validity of classical electrodynamics

In summary, classical electrodynamics has a wide range of applicability in the real world and has been experimentally verified through various experiments. There are also many resources available for those looking to further their understanding of the theory.
  • #1
bigerst
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i am currently reading griffith's book on electrodynamics, though he does an excellent job with the theory (along with all the sloppiness in math) he does not really answer the question, how well does this theory apply to the real world.
i know Newton's theory is valid at v<<c, however in electrodynamics (especially radiation and optics) how valid are the results derived (for example energy radiated by oscillating dipole)? are those results experimentally verified? with only a superficial knowledge of quantum physics i know for example, the compton effect is outside the scope of classical electrodynamics, however Compton effect is simply the interaction between a wave and a charge, so how valid are other results?
It would also be helpful if anyone could direct me to books and other resources
Thanks

Bigerst
 
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  • #2
affe's book, "The Theory of Electromagnetism" is a great resource for understanding the application of classical electromagnetism in real world scenarios. The book covers topics such as antennas, waveguides, transmission lines, and radiating systems. It also provides a detailed look at the mathematical foundations of the theory and how these can be applied to problems. In terms of experimental verification, most of the results from classical electromagnetism have been confirmed through experiments, such as the famous Michelson-Morley experiment. Other experiments, such as the Cavendish experiment and the Faraday-Maxwell experiment, have been used to confirm the validity of classical electromagnetism. Additionally, modern experiments continue to verify the accuracy of classical electromagnetism, with results that are in agreement with theoretical predictions. Finally, there are many books and online resources available to help further understand the application of classical electromagnetism in the real world. Examples include Jackson's "Classical Electrodynamics", Griffiths "Introduction to Electrodynamics", and Feynman's Lectures on Physics.
 

What is the domain of validity of classical electrodynamics?

The domain of validity of classical electrodynamics refers to the range of physical phenomena and conditions in which the fundamental laws and equations of classical electrodynamics accurately describe and predict the behavior of electromagnetic fields and interactions.

How is the domain of validity of classical electrodynamics determined?

The domain of validity of classical electrodynamics is determined by experimental observations and data, as well as theoretical considerations and limitations of the classical electromagnetic theory.

What are some examples of phenomena outside the domain of validity of classical electrodynamics?

Some examples of phenomena that are outside the domain of validity of classical electrodynamics include high-energy particle interactions, quantum effects, and phenomena involving extreme conditions such as strong gravitational fields or very high temperatures.

Can classical electrodynamics be used to accurately describe all electromagnetic interactions?

No, classical electrodynamics is limited in its ability to accurately describe all electromagnetic interactions. It is most accurate for macroscopic, low-energy phenomena and may break down at the atomic and subatomic level or in extreme conditions.

How does the domain of validity of classical electrodynamics relate to other theories of electromagnetism, such as quantum electrodynamics?

The domain of validity of classical electrodynamics is a subset of the domain of validity of more advanced theories, such as quantum electrodynamics. As phenomena become more complex or involve higher energies, classical electrodynamics becomes less accurate and other theories must be used.

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