Calculate amplitude and phase of a filter cricuit

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Discussion Overview

The discussion revolves around calculating the amplitude and phase of a filter circuit, focusing on the relationships between voltages and currents in the circuit. Participants explore methods for analysis, including nodal and mesh analysis, and the implications of using different circuit components such as resistors, capacitors, and inductors.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to calculate v3 given its relationship with i4 and the impedance Z, indicating a need for further assistance.
  • Another participant suggests using mesh or nodal analysis to relate v3 to v0.
  • A different participant mentions having already determined the values of currents and voltages through nodal analysis in a similar circuit, which used resistors instead of capacitors and inductors.
  • Another reply indicates that the analysis steps can be retraced by substituting resistors with their corresponding impedance for capacitors or inductors.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach to take, with multiple methods suggested and some uncertainty expressed regarding the application of these methods to the specific circuit in question.

Contextual Notes

Some assumptions about the circuit configuration and the specific values of components are not fully detailed, which may affect the analysis. The discussion also does not resolve the implications of using different types of components in the circuit.

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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