Drawing an argand diagram of complex voltage

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SUMMARY

The discussion focuses on drawing an Argand diagram for the complex voltage \( v \) at \( t = \frac{\pi}{1800} \) and determining the instantaneous voltage. The equation provided, \( i = l \cos(\omega t) \), indicates the relationship between current and time in the context of alternating current (AC) circuits. Participants emphasize the importance of accurately representing the voltage and current projections on the horizontal axis of the Argand diagram for clarity.

PREREQUISITES
  • Understanding of complex numbers and their representation in the Argand plane.
  • Familiarity with alternating current (AC) circuit concepts.
  • Knowledge of trigonometric functions, particularly cosine.
  • Basic skills in graphing and interpreting mathematical diagrams.
NEXT STEPS
  • Learn how to construct Argand diagrams for various complex numbers.
  • Study the relationship between voltage and current in AC circuits using phasors.
  • Explore the use of \( \omega \) (angular frequency) in AC analysis.
  • Investigate the concept of instantaneous voltage in the context of sinusoidal functions.
USEFUL FOR

Students studying electrical engineering, particularly those focusing on AC circuit analysis, as well as educators teaching complex number applications in physics and engineering.

joe007
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Homework Statement



draw an argand diagram of the complex voltage v at t=pi/1800, also how do i obtain the instantaneous voltage

Homework Equations


i = lcoswt


The Attempt at a Solution


well so far i have a straight line
 
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also i know the projection on the horizontal axis represent the voltage and current
but what's d method of drawing it
 

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