Expected power of a square wave

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Discussion Overview

The discussion revolves around calculating the expected power of the first three frequency components of a square wave with a specified amplitude. It is framed as a homework problem, focusing on theoretical understanding and application of relevant equations.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses uncertainty about how to start the problem and mentions the potential relevance of V(rms) for the calculation.
  • Another participant asks if the original poster knows the equation for power in periodic waves.
  • A subsequent participant confirms the power equation as \(\frac{1}{T}\int_{0}^{T}|x(t)|^2\,dt\) but notes that the original poster seems to be looking for power in specific frequency components rather than the overall power of the square wave.
  • This participant also suggests looking into Parseval's Theorem for further guidance.

Areas of Agreement / Disagreement

There is no consensus on how to approach the problem, as participants express varying levels of knowledge regarding the relevant equations and concepts.

Contextual Notes

Participants have not established a clear connection between the power equation and the specific frequency components of the square wave. There is also a lack of clarity on the assumptions needed for applying Parseval's Theorem in this context.

Tjvelcro
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Homework Statement



What is the expected power of the first three frequency components of a square wave with an amplitude of 0.2V?

Homework Equations



None that I know of :(

The Attempt at a Solution



I'm not sure where to start with this since it seems to give me so little information. I think I may have to use V(rms) but I'm not sure. Any help or hints would be appeciated.

Tjvelcro
 
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Do you know equation of power for periodic waves?
 
No, I am not sure what that equation is... tried to look in my book but cannot find it.
 
<br /> \frac{1}{T}\int_{0}^{T}|x(t)|^2\,dt<br />

Above is the power equation.

However, it seems like you are attempting to finding power contained in first three frequency components of square wave. I only read the title thought you want power of square wave. I would suggest you to look into .. Parseval's Theorem (http://engnet.anu.edu.au/DEcourses/engn2228/Lectures/Lecture15.pdf slide 11).
 
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