Frequency in a circuit using complex notation

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Discussion Overview

The discussion revolves around determining the frequency, ω, in a circuit using complex notation, as well as finding an expression for the output voltage, v0, based on the given input voltage vg. The context is primarily homework-related, focusing on mathematical reasoning and technical explanation.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • The initial homework statement requests the determination of frequency ω in a circuit where the current ig is in phase with the voltage vg.
  • One participant suggests that the calculated frequency may be one order of magnitude too high, indicating a potential error in the math.
  • Another participant confirms the suspicion about the power of ten, specifically questioning whether the exponent should be 6 instead of 8.
  • There is mention of both 10^6 and 10^8 appearing in the participant's work, suggesting a need for clarification on which is correct.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct value of the frequency, as there is disagreement regarding the order of magnitude in the calculations.

Contextual Notes

The discussion highlights potential errors in mathematical calculations, specifically regarding the powers of ten used in the analysis, but does not resolve these issues.

hockeynut
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Homework Statement



The frequency, ω, of the source in the circuit of Figure 2 is adjusted until ig is in phase with vg.

(a)using complex notation, determine the value of ω (rad/sec)
(b)if vg = 20 sin ω t [where ω is the frequency found in 2(a)], determine an expression for the output voltage, v0



Homework Equations





The Attempt at a Solution


See attached attempt on Question A & B - can someone advise if it looks right?
 

Attachments

  • Solution Q2 a.jpg
    Solution Q2 a.jpg
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  • Solution Q2 b.jpg
    Solution Q2 b.jpg
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I think your frequency ended up being one order of magnitude too high. Check your math.
 
Thanks gneill.
Ah so where I have 10 to the power of 8, it should be to the power of 6?
 
hockeynut said:
Thanks gneill.
Ah so where I have 10 to the power of 8, it should be to the power of 6?

Well, you've got both 106 and 108 in the relevant area of your work, so you really should be more specific. But yes, that is the issue.
 

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