What Is the Amplitude of a Harmonic Load in the Frequency Domain?

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SUMMARY

The amplitude of a harmonic load represented by the function f(t) = A * sin(ωt) in the time domain is a delta function in the frequency domain, located at frequency ω with an amplitude of A. This conclusion is derived from the properties of the Fourier transformation, which indicates that sinusoidal functions translate to delta functions in the frequency domain. Understanding this transformation is crucial for analyzing harmonic loads in various engineering applications.

PREREQUISITES
  • Fourier Transform principles
  • Understanding of harmonic functions
  • Knowledge of frequency domain analysis
  • Basic trigonometric functions and their properties
NEXT STEPS
  • Study the properties of the Fourier Transform in detail
  • Learn about delta functions and their significance in signal processing
  • Explore applications of Fourier Transform in engineering contexts
  • Investigate the implications of harmonic loads in mechanical systems
USEFUL FOR

Engineers, physicists, and students involved in signal processing, particularly those focusing on the analysis of harmonic loads and their frequency domain representations.

Mazzletov
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Hello,

I am having a bit of trouble with calculating the Fourier transformation of a harmonic load.

I have the function f(t) = A * sin(ωt) in the time-domain.

I would like to represent this function in the frequency domain.

What would be its amplitude?

Thank you
 
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Thank you.
 
Mazzletov said:
Hello,

I am having a bit of trouble with calculating the Fourier transformation of a harmonic load.

I have the function f(t) = A * sin(ωt) in the time-domain.

I would like to represent this function in the frequency domain.

What would be its amplitude?

Thank you
It is a delta function at ω with amplitude A.
 

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