Parallel RLC, calculating phasors

AI Thread Summary
The discussion focuses on calculating the current i(t) in a parallel RLC circuit. The user has determined the phasor form of the combined impedance of the inductor and resistor as 40 + j120, resulting in a magnitude of 126.5 at an angle of 71.56 degrees. They are unsure how to proceed to find the phase angle when combining this impedance with the capacitor's impedance. A suggestion is made to maintain the impedance in its complex form and perform calculations before converting to phasor form. The conversation emphasizes the importance of understanding how to handle multiple parallel phasors for accurate phase angle determination.
James889
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Hi,

I have the following circuit:
[PLAIN]http://img252.imageshack.us/img252/9470/phasor.png

I need to find the current i(t).

I have come to a point where i don't know how to proceed.

I have the inductor and resistor in series.

40 +j120 in phasor form 126.5\angle 71.56

which in turn is parallel with the capacitor.

\frac{1}{\frac{1}{126.5} +\frac{1}{-133.33}} = 2469

But how do i get the phase angle ?
 
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tiny-tim said:
Hi James889! :smile:

1/(40 +j120) = (40 - j120)/(402 +1202).

It's some time since I've done this, but doesn't the https://www.physicsforums.com/library.php?do=view_item&itemid=303" depend on the frequency … 1/jωC ?

Hi Tim.

Sure, but as you can see the complex impedance is already given.

And the actual numbers don't really matter.

I'm more interested in how to find the phase angle when you have two(or more) parallel phasors.
 
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James889 said:
Hi Tim.

Sure, but as you can see the complex impedance is already given.

And the actual numbers don't really matter.

I'm more interested in how to find the phase angle when you have two(or more) parallel phasors.

Hi James889! :smile:

(ah I misread that! :redface:)

I meant that you should keep the 40 +j120 as it is, do 1/ it, and add it to 1/-j133.33, and then 1/ that, and only reduce it to phasor from at the end :wink:
 

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