Converting input in rlc circuits

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Discussion Overview

The discussion revolves around converting sinusoidal voltage expressions in RLC circuits to phasor representation. Participants explore the transformation of a sinusoidal function, specifically E=70.7sin(ωt), into a format like 70.7∠θ, discussing the implications of phase angles in this conversion.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests converting E=70.7sin(ωt) to phasor form as 70.7∠10°.
  • Another participant confirms the conversion to phasor representation and provides an example using Euler's identity.
  • A participant questions the phase angle used in the conversion, suggesting a potential correction to 70.7∠-80° based on the sine function reference.
  • There is a reiteration of the phase angle consideration, emphasizing the relationship between sine and cosine functions in the context of phasor representation.

Areas of Agreement / Disagreement

Participants express differing views on the correct phase angle for the conversion, indicating that the discussion remains unresolved regarding the appropriate representation of the phase angle in the phasor form.

Contextual Notes

There are unresolved assumptions regarding the reference function (sine vs. cosine) and its impact on the phase angle in the conversion process.

VerdictGuilty
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I was wondering how to convert E=70.7sinwt..<-- (just an example)
to something like 50∠0 degrees?​
 
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Hi VerdictGuilty, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif


E=70.7sin(Ѡt + 10°)
=70.7∠10°

Too easy! ☺[/size][/color]
 
Last edited by a moderator:
You're converting it to phasor representation. You want to employ Euler's identity to convert the sinusoid to a complex number from which you can obtain the modulus(magnitude) and phase.
 
@NascentOxygen,

Since the phase angle is based on the cosine function, are you missing a -90deg factor in your answer? should it be 70.7∠-80?
 
Last edited:
jrive said:
@NascentOxygen,

Since the phase angle is based on the cosine function, are you missing a -90deg factor in your answer? should it be 70.7∠-80?
I referenced it to a sine wave.
 

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