Converting input in rlc circuits

[VerdictGuilty]

I was wondering how to convert E=70.7sinwt..<-- (just an example)
to something like 50∠0 degrees?​

 

[NascentOxygen]

Hi VerdictGuilty, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif


E=70.7sin(Ѡt + 10°)
=70.7∠10°

Too easy! ☺[/size][/color]

 

[jrive]

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.

 

[jrive]

@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?

 

[NascentOxygen]

@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.