Calculate amplitude and phase of a filter cricuit

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To calculate the amplitude and phase of a filter circuit, start by expressing v3 in terms of the known values and using the relationship v3 = i4 * Z, where Z is the impedance of C3 and R2 in parallel. Utilize mesh or nodal analysis to relate v3 to v0, ensuring to substitute resistors with their respective impedances for capacitors or inductors. The discussion highlights the importance of retracing previous analysis steps while adjusting for the circuit components. Clarifying the values of currents and voltages from earlier analysis can aid in solving for unknowns. Proper application of these methods will lead to the desired calculations of amplitude and phase.
Guinness666
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homework type question so moved to the homework forum
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I have the values for all the voltages and currents. I'm wondering how I go about it, given that v3 = v30 (cos (Θ3) + isin(Θ3)) and I have a value for v3. Since v3 = i4 * Z where Z is C3 and R2 in parallel, there'd still be 2 unknowns. I feel as though I'm missing something obvious, if anyone could give me a little help, that'd be great.
 
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You're wanting to calculate v3 in terms of v0? You'll need to use mesh or nodal analysis.
 
I already know the values of i1, i2, i3, i4, v1, v2, v3 from doing a nodal analysis on a circuit earlier in this question which is exactly the same apart from that it contains resistors instead of capacitors and inductors.
 
So you'll retrace the steps in the analysis, but substituting
some R's with ##j\omega L## or ##\frac 1{jwc}##.
 
This is the earlier part,
0RCDpIE.png
 

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