Drawing Phasor Representation for v(t)=20cos(200t+45°)+cos(200t)

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SUMMARY

The discussion focuses on drawing the phasor representation for the signal v(t) = 20cos(200t + 45°) + cos(200t) and converting it into a single sinusoidal form A sin(ωt + φ). Participants confirm that the process involves first representing each cosine wave as a phasor in the frequency domain, A∠φ, before combining them to express v(t) as a single sinusoid. The conversion from cosine to sine is necessary for the final representation.

PREREQUISITES
  • Understanding of phasor representation in electrical engineering
  • Familiarity with sinusoidal functions and their properties
  • Knowledge of frequency domain analysis
  • Ability to convert between cosine and sine forms
NEXT STEPS
  • Study phasor addition techniques for combining multiple signals
  • Learn about converting between cosine and sine forms in signal processing
  • Explore frequency domain analysis using tools like MATLAB or Python
  • Investigate the implications of phase angles in sinusoidal signals
USEFUL FOR

Electrical engineers, signal processing students, and anyone involved in analyzing or designing systems with sinusoidal signals will benefit from this discussion.

noppawit
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Draw the phasor representation for each of the following signals. Also write the signal as one sinusoid, v(t) = 20cos(200t+45°)+cos(200t)

From this equation, do I have to turn to v(t) = A sin (ωt + φ) ? If yes, how can I convert it?

Thank you.
 
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I think its asking to first draw the phasors for each one of the cosine waves in v(t). Then add the cosine waves together and write the equation for v(t) as a single sinusoid in the form you listed: A sin (ωt + φ). When drawing the phasors you'll probably want to convert each part of the signal from the time-domain to frequency domain, A∠φ. Hope that helps.
 

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