Electrical - Missing Capacitor value

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Discussion Overview

The discussion revolves around determining the unknown capacitor value C1 in an electrical circuit, given certain parameters including voltages and other capacitor values. The scope includes homework-related problem-solving and mathematical reasoning involving capacitive reactance and frequency calculations.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant notes the need to find C1 but is unsure where to start due to the absence of frequency information.
  • Another participant suggests that the provided values for C3 and its reactance (Xc3) can be used to calculate the frequency.
  • A participant calculates a frequency of approximately 141471 Hz based on the given values but expresses concern that this seems high.
  • Further, the participant calculates the reactance for C2 based on the derived frequency but remains uncertain about how to find C1.
  • Another participant comments that the frequency might be higher than initially thought and emphasizes the importance of maintaining precision in calculations to avoid rounding errors.
  • This participant also points out that the current value provided can help determine the voltage across C3 and subsequently the current through C2.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculations or the approach to finding C1, and multiple competing views regarding the frequency and its implications remain present.

Contextual Notes

There is mention of potential rounding errors in calculations and the importance of using precise values, as well as a note that capacitor values are given in picofarads, which may affect frequency calculations.

Who May Find This Useful

Students or individuals working on electrical engineering problems, particularly those involving capacitors and reactance in circuits.

razin
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Homework Statement



Need to find C1
Whats known: VS: 5v rms / C1=? , C2=.0022uf , C3=.0015uf Xc3= 750Ω

problem-1.jpg


The Attempt at a Solution



I would have thought I would need the frequency to start this, but it's not provided.
Stumped on where to even start on this.
 
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You're given Xc3 and C3. That should let you find the frequency :wink:
 
gneill said:
You're given Xc3 and C3. That should let you find the frequency :wink:

Hmm, ok.
This is what I calculated for freq. then, but seems high.
_____1_______
2∏(.0015)(750)

=141471hz

If correct, would give me 513Ω XC for C2.
________1_________
2∏(141.5khz)(.0022uf)

From here I'm lost. How to get C1 still eludes me.
 
razin said:
Hmm, ok.
This is what I calculated for freq. then, but seems high.
_____1_______
2∏(.0015)(750)

=141471hz

If correct, would give me 513Ω XC for C2.
________1_________
2∏(141.5khz)(.0022uf)

From here I'm lost. How to get C1 still eludes me.

The frequency is actually much higher than you think! Remember, the capacitor values are given in picofarads.

The scale of frequency won't affect your Xc for C2 though, as long as you've faithfully made the same mistake throughout the calculations! 513Ω is a tad high, but that's attributable to rounding errors (maybe you'll want to keep a few more digits in your intermediate results).

Note that you've also been given a current value. With that current value you should be able to determine the voltage that appears across C3 (and by extension C2 since it's in parallel with C3). What then is the current through C2?
 

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