What is the equation for electromagnetic wave frequency?

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SUMMARY

The discussion centers on the relationship between electromagnetic wave frequency and the acceleration of a charge. It is established that when a charge is accelerated, it emits electromagnetic radiation, but there is no single equation that defines the frequency due to the complexity of the situation. The conversation references Maxwell's equations as foundational, indicating that the emitted frequency can vary based on the type of acceleration and the observer's location, particularly concerning Doppler shifts. Ultimately, a spectrum of frequencies is produced rather than a singular value.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Knowledge of electromagnetic radiation principles
  • Familiarity with the concept of acceleration in physics
  • Basic comprehension of Doppler effect in wave phenomena
NEXT STEPS
  • Study the implications of Maxwell's equations on electromagnetic radiation
  • Explore the mathematical derivation of frequency from acceleration
  • Investigate the Doppler effect and its impact on observed frequencies
  • Review the spectrum of frequencies produced by accelerated charges
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Physics students, educators, and researchers interested in electromagnetic theory and wave phenomena will benefit from this discussion.

pkc111
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Hi there
When a charge is accelerated it produces electromagnetic radiation. I was wondering if anyone knew the equation relating the frequency of emitted radiation to the size of the charge and the value of the acceleration.
My understanding is that it relates to Maxwell's equations, but I was hoping for a simpler equation.

Many thanks
 
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"Maxwell's equation" is the simpler explanation.
The rest is maths - so the equation depends on how complicated you want it and what sort of acceleration you have.
Also depends on where you are - since it may be doppler shifted.

For a linear acceleration, there is not one frequency but a spectrum of them.
http://physics.usask.ca/~hirose/p812/notes/Ch8.pdf ... 8.3 ... so there is no simple equation.
 
Thank you so much!
 

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