Solving circuits using mesh analysis

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Discussion Overview

The discussion revolves around solving circuits using mesh analysis, specifically focusing on determining the voltage across a current source. Participants explore various circuit analysis techniques, including mesh analysis, nodal analysis, and Kirchhoff's laws, while sharing personal preferences and experiences with these methods.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Jerome inquires about using mesh analysis to find the voltage across a current source, having already solved it using nodal analysis.
  • One participant suggests that mesh analysis can be applied and provides a method involving the inclusion of the current source's mesh current in the loop equations.
  • Another approach mentioned involves converting components into a Thevenin equivalent to simplify the analysis.
  • Jerome expresses a preference for nodal analysis over mesh and Kirchhoff's laws, prompting a response that emphasizes the value of being familiar with multiple techniques.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best technique to use, as preferences vary, and multiple approaches are discussed without resolution.

Contextual Notes

Participants acknowledge that the effectiveness of different analysis techniques may depend on individual familiarity and the specific characteristics of the circuits being analyzed.

jeromec92
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Hi guys,
is there anyway i can solve the voltage across the current source using Mesh Analysis. I already solved for the voltage across the current source using Nodal analysis. And btw, do you have any tips which technique is the best to use (Kirchoff's, Mesh, Nodal analysis) for different kinds of circuits. Thanks.

-Jerome
 

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jeromec92 said:
Hi guys,
is there anyway i can solve the voltage across the current source using Mesh Analysis. I already solved for the voltage across the current source using Nodal analysis. And btw, do you have any tips which technique is the best to use (Kirchoff's, Mesh, Nodal analysis) for different kinds of circuits. Thanks.

-Jerome

Regarding solution methods, different circuits will "appeal" to you in different ways. Much depends upon how many techniques you are familiar with and your comfort level with each.

Sure you can use mesh analysis for this problem. Assume that the loop contained the current source is an already "solved" mesh that you don't have to worry about other than to include its "mesh" current (4A) in the current passing through R1 when you write the loop equations for the other loops. That is, there will be a "R1*(I2 - I1)" term for the middle loop.

Another approach that occurs to me is to convert I1 and R1 into a Thevenin equivalent voltage source and series resistance, leaving you two "standard" loops for mesh analysis. Remember that the voltage across R1 (and so the current source) in the original circuit is then equivalent to the voltage across the Thevenin voltage and its resistor.
 
gneill said:
Regarding solution methods, different circuits will "appeal" to you in different ways. Much depends upon how many techniques you are familiar with and your comfort level with each.

Sure you can use mesh analysis for this problem. Assume that the loop contained the current source is an already "solved" mesh that you don't have to worry about other than to include its "mesh" current (4A) in the current passing through R1 when you write the loop equations for the other loops. That is, there will be a "R1*(I2 - I1)" term for the middle loop.

Another approach that occurs to me is to convert I1 and R1 into a Thevenin equivalent voltage source and series resistance, leaving you two "standard" loops for mesh analysis. Remember that the voltage across R1 (and so the current source) in the original circuit is then equivalent to the voltage across the Thevenin voltage and its resistor.

Hello, Thank you very much. I finally got it! Anyway I prefer using nodal analysis rather than mesh and kirchoff's. What do you think?
 
jeromec92 said:
Hello, Thank you very much. I finally got it! Anyway I prefer using nodal analysis rather than mesh and kirchoff's. What do you think?

I think you should use what works for you, but having more than one tool in your toolbox will make your life easier :smile:
 

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