The wave form of a sinusoidal current passing through a circuit?

AI Thread Summary
The discussion focuses on deriving expressions for the voltages across a capacitor (VC) and an inductor (VL) in a circuit with a sinusoidal current I = I0sin(ωt). Participants are asked to sketch the waveforms for I, VC, and VL to illustrate their phase relationships over 1.5 periods, noting that the amplitude sizes are not critical. The conversation highlights the need to understand phasors to simplify the analysis of these waveforms. Additionally, it mentions using the condition of equal magnitudes of VC and VL at the resonant frequency to derive the relationship Lω0 = 1/Cω0. The thread emphasizes the importance of breaking down the problem for better comprehension.
dazza555
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Assume a sinusoidal current I = I0sinωt passes through the circuit of:

[PLAIN]http://a.yfrog.com/img52/9062/image2c1.jpg

Obtain expressions for VC and VL in terms of ω and I0. Sketch the waveform for I, VC and VL, to show the phase relationship between these three variables. (Show about 1.5 periods; relative size of the amplitudes are not important here.)

Also use the fact that the magnitude of the voltages VC and VL are equal at the resonant frequency in order to obtain the expression involving ω0 shown as in the Equation: Lw0=1/Cw0


Ok, I've read the question but don't know exactly what its asking me to do, I know I need to draw a wave function but other than that I'm stumped. Can someone explain this question to me in dumbed down terms so I can have a crack at it? Thanks for any help guys.
 
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Seems like the problem wants you to find equations for the voltage across the capacitor (V_C), and inductor (V_L) in terms of the frequency and voltage.

Do you know what phasors are?
 

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