- #1
Froskoy
- 27
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Homework Statement
A network consists of an inductor, capacitor and resistor are connected in parallel and an alternating sinusoidal voltage is placed across the network. Sketch the phase of the total current relative to the voltage as a function of the angular frequency.
The Attempt at a Solution
I've got an expression for the impedance of the network in the form [itex]a+ib[/itex]. This is equal to [itex]\frac{V}{I}[/itex]. So is the phase equal to [itex]tan^{-1}\left({\frac{b}{a}}\right)[/itex] - or do you have to do something more? Is there a better way to calculate the phase using exponentials?
To sketch it, I don't understand how you determine if the voltage lags behind the current or the current lags behind the voltage? Once you've determined the phase, [itex]\theta[/itex], do you just sketch the sin wave for the voltage and then sketch a sin wave for the current that lags an angle [itex]\theta[/itex] behind the voltage, or is there more to it? How do you determine that the current is indeed a sin shape and not some other shape?
With very many thanks,
Froskoy.