Converting input in rlc circuits

AI Thread Summary
The discussion focuses on converting a sinusoidal voltage expression, E=70.7sin(ωt + 10°), into phasor representation, resulting in 70.7∠10°. Participants clarify that using Euler's identity allows for conversion to a complex number, which provides magnitude and phase. A question arises regarding the phase angle, suggesting a potential -90° adjustment for cosine reference, leading to a proposed alternative of 70.7∠-80°. The conversation emphasizes the importance of correctly referencing the phase angle based on the sine or cosine function.
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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