I'm not sure about the physical behavior of a RLC circuit and I have to give a presentation that involves one. So I've decided to plot the current. I found a book that gives a differential equation to describe the circuit.(adsbygoogle = window.adsbygoogle || []).push({});

##L\frac{d^2i}{dt^2} + R\frac{di}{dt} + \frac{1}{C}i = \frac{dv}{dt}##

So I had some questions about this equation and the notation.

First of all, the book says ##i=\vec{I} = I_pe^{j\omega t}## and ##v = \vec{V} = V_pe^{j\omega t}##. Are the ##I_p## and ##V_p## the rms current and voltage?

Also, they use R as resistance, but should I also include the impedance due to the capacitor and the inductor here in addition to the resistance of the resistor? If so, how should I treat the resistance since I'm not aware of a way to express it as a non-real value.

Finally, if I am driving this with a frequency generator set at 277 kHz, should this value be ##\omega## or would I need to multiply this by ##2\pi##?

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# RLC circuits

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