How to draw a phasor addition on AC circuit?

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SUMMARY

This discussion focuses on the process of drawing phasor addition for two alternating currents that are out of phase. The currents are represented as (4, 0°) and (3, 27°), leading to a combined phasor calculated to be approximately 6.81 volts with an angle of 0.2014 radians. The correct components for the phasors are identified as 4 for the real part and 3cos27 for the real component of the second phasor, with 3sin27 for the imaginary part. The discussion emphasizes the importance of accurately representing both the magnitude and phase angle in phasor diagrams.

PREREQUISITES
  • Understanding of phasors in AC circuits
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with complex numbers and their representation
  • Basic skills in drawing and interpreting graphical representations of electrical concepts
NEXT STEPS
  • Study the principles of phasor addition in AC circuit analysis
  • Learn how to use complex numbers for electrical engineering applications
  • Explore graphical methods for representing AC signals
  • Investigate the use of software tools for simulating AC circuits and phasor diagrams
USEFUL FOR

Electrical engineering students, educators teaching AC circuit theory, and professionals involved in circuit design and analysis will benefit from this discussion.

maali5
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How to draw a phasor ?

Homework Statement



Two alternating currents are applied out of phase with each other. One is 4 volts and the other is 3 volts 27° out of phase.

These can be written as (4, 0°) and (3, 27°)


Homework Equations



a)draw both phasors
b)draw the combined phasor between (0 degree and 360 degree)
c)label peak voltage and state its value



The Attempt at a Solution



a)A rough drawing on paint http://imageshack.us/photo/my-images/3/plotb.jpg/

b) I know A= 6.8106 volts by using this formula

r=√a2+b2

r=3cos27 + 4i + i(3sin 27)

r=√(3cos27 + 9)2 + (3sin27)2

=6.81v

angle=0.2014
 
Last edited:
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The drawing look OK, but I don't think you've got the right components. The real parts of the phasors are 4 and 3cos27 respectively. The imaginary parts are 0 and 3sin27 respectively.
 

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