Finding Angular Frequency of Electromagnetic Wave

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SUMMARY

The discussion focuses on calculating the angular frequency (ω) of an electromagnetic wave from its wave equation Esin(kx - ωt). The key relationship established is between the wave number (k) and the speed of light (c), where the angular frequency can be derived directly from k without needing to find the period. Specifically, the formula ω = k * c is highlighted, allowing for the determination of angular frequency using the known speed of light.

PREREQUISITES
  • Understanding of wave equations in physics
  • Knowledge of electromagnetic wave properties
  • Familiarity with the relationship between wave number and angular frequency
  • Basic grasp of the speed of light (approximately 3 x 10^8 m/s)
NEXT STEPS
  • Research the derivation of the wave equation for electromagnetic waves
  • Learn about the relationship between wave number (k) and wavelength (λ)
  • Study the concept of angular frequency in different wave contexts
  • Explore applications of electromagnetic waves in communication technologies
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone involved in the study of wave mechanics and electromagnetic theory.

sarahaha288
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I am doing some practice and need help with a problem,
I am trying to find the angular frequency of an electromagnetic wave given a general wave equation in standard form
Esin(kx-wt)
I am given the variable k,, and i need to find the angular frequency w. I am not sure how to do this without finding the period, which i can't find without angular velocity.
 
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DO you know the relation of wave number (or wave vector) k with speed of light and [tex]2\pi[/tex]? From that you can find wave length or period.
For electromagnetic wave you know it travel with light's speed.
So for a given k you can find its angular frequency.
good luck
 

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