[Electrical Engineering]Finding current with mesh analysis(ac)

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Discussion Overview

The discussion revolves around the application of mesh analysis in electrical engineering, specifically for finding the current io in a circuit with independent sources of different frequencies. Participants explore the challenges of using mesh analysis in this context and consider alternative methods such as superposition.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a solution for io using superposition, indicating the complexity of the circuit due to multiple frequency sources.
  • Another participant questions the feasibility of applying mesh analysis directly to the problem, highlighting that the impedances of reactive elements vary with frequency.
  • It is suggested that each source affects the circuit differently, leading to distinct impedance matrices for each frequency, complicating the use of mesh analysis.
  • A participant expresses the need to explain why mesh analysis may not be applicable in this scenario as part of the assignment.

Areas of Agreement / Disagreement

Participants generally agree that using mesh analysis directly is problematic due to the differing impedances at various frequencies, but there is no consensus on how to best approach the problem or the implications for the assignment.

Contextual Notes

The discussion does not resolve the mathematical steps necessary for mesh analysis in this context, nor does it clarify the specific definitions of impedances used by participants.

equalP
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Homework Statement


hihi_zps4f36d16a.png

The question asks me to find io by using mesh analysis.

Homework Equations


KCL

The Attempt at a Solution


In fact, the question also asks me to find it by superposition and I found the answer should be:
i0=0.1+0.218 cos⁡(2000t+134°)-1.18 sin⁡(4000t+7.4°)

But I don't know how to use mesh analysis to solve the circuit with independent sources of different frequency.

Thanks for reading my post.
 
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equalP said:

Homework Statement


hihi_zps4f36d16a.png

The question asks me to find io by using mesh analysis.

Homework Equations


KCL


The Attempt at a Solution


In fact, the question also asks me to find it by superposition and I found the answer should be:
i0=0.1+0.218 cos⁡(2000t+134°)-1.18 sin⁡(4000t+7.4°)

But I don't know how to use mesh analysis to solve the circuit with independent sources of different frequency.

Thanks for reading my post.

Hi equalP; Welcome to Physics Forums.

The idea behind using superposition is that you can solve for the effect of each source independently (by suppressing the others), then sum the results.
 
gneill said:
Hi equalP; Welcome to Physics Forums.

The idea behind using superposition is that you can solve for the effect of each source independently (by suppressing the others), then sum the results.

Is it possible for me to solve this problem by using mesh analysis directly?
 
equalP said:
Is it possible for me to solve this problem by using mesh analysis directly?

No, the impedances of the reactive elements are different for different frequencies. As a result, each source "sees" a different network, which will make the impedance matrices differ.
 
gneill said:
No, the impedances of the reactive elements are different for different frequencies. As a result, each source "sees" a different network, which will make the impedance matrices differ.

Thank you. And I think the assignment may want me to write down it is impossible and explain why.
 

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