Finding Angular Frequency of Electromagnetic Wave

AI Thread Summary
To find the angular frequency of an electromagnetic wave from the wave equation Esin(kx-wt), the relationship between wave number (k) and angular frequency (ω) is crucial. The wave number is related to the wavelength and can be expressed as k = 2π/λ. Since electromagnetic waves travel at the speed of light (c), the relationship c = λf can be used, where f is the frequency. By substituting λ with 2π/k, the angular frequency can be derived as ω = kc. Understanding these relationships allows for the calculation of angular frequency without needing to find the period first.
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 2\pi? 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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