Can someone clarify the connections between these concepts?

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In summary, the concepts learned in the Electric Circuit Analysis course include Ohm's law, Kirchhoff's laws (KCL and KVL), voltage and current division (derived from Ohm's law and Kirchhoff's laws), Y-Delta transformations, nodal analysis, and mesh analysis. While nodal and mesh analysis alone can solve linear circuits, the old method of using KCL and KVL can still provide an answer quickly. However, the divisions are no longer necessary when using nodal or mesh analysis. Additionally, voltage and current division can simplify a circuit when applying nodal or mesh analysis. Other useful techniques include branch analysis, simplification using supernodes and superloops, and Thevinin's and Norton
  • #1
InvalidID
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I've learned some concepts in my Electric Circuit Analysis course:

  • Ohm's law
  • KCL + KVL
  • Voltage Division (derived from Ohm's law + KVL)
  • Current Division (derived from Ohm's law + KCL)
  • Y-Delta transformations
  • Nodal Analysis (derived from Ohm's law + KCL)
  • Mesh Analysis (derived from Ohm's law + KVL)

So it seems that you can solve any circuit problem using nodal analysis and mesh analysis alone, right? Is there any benefit of the old method of solving circuits (using KCL & KVL)?

Is there any benefit of using voltage division and current division when applying nodal and mesh analysis? I remember that when solving circuits through the use of KCL & KVL, you would sometimes need to apply voltage and current division. But because both divisions and both nodal & mesh analysis are derived from a combination of Ohm's law and Kirchhoff's laws, then the divisions are no longer necessary when solving a circuit using nodal/mesh analysis, right?
 
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  • #2
InvalidID said:
I've learned some concepts in my Electric Circuit Analysis course:

  • Ohm's law
  • KCL + KVL
  • Voltage Division (derived from Ohm's law + KVL)
  • Current Division (derived from Ohm's law + KCL)
  • Y-Delta transformations
  • Nodal Analysis (derived from Ohm's law + KCL)
  • Mesh Analysis (derived from Ohm's law + KVL)

So it seems that you can solve any circuit problem using nodal analysis and mesh analysis alone, right? Is there any benefit of the old method of solving circuits (using KCL & KVL)?

Is there any benefit of using voltage division and current division when applying nodal and mesh analysis? I remember that when solving circuits through the use of KCL & KVL, you would sometimes need to apply voltage and current division. But because both divisions and both nodal & mesh analysis are derived from a combination of Ohm's law and Kirchhoff's laws, then the divisions are no longer necessary when solving a circuit using nodal/mesh analysis, right?

Node and Mesh analysis use KCL and KVL. They are NOT separate concepts.

IIF the circuit is linear, you can solve with just these. Nonlinear circuits require numerical methods or approximations to be made (e.g. hybrid pi linearization).
 
  • #3
What the above user said. Also, with current and voltage division, there are times where that will be the most logical and simple way to calculate some values. There is no reason to use KCL(Nodal Analysis) and KVL(Mesh/Loop Analysis) when you're trying to find an answer quickly.
 
  • #4
jsgruszynski said:
Node and Mesh analysis use KCL and KVL. They are NOT separate concepts.

IIF the circuit is linear, you can solve with just these. Nonlinear circuits require numerical methods or approximations to be made (e.g. hybrid pi linearization).

tomizzo said:
What the above user said. Also, with current and voltage division, there are times where that will be the most logical and simple way to calculate some values. There is no reason to use KCL(Nodal Analysis) and KVL(Mesh/Loop Analysis) when you're trying to find an answer quickly.

So I understood you two correctly, the answer to my questions would be as follow?

So it seems that you can solve any circuit problem using nodal analysis and mesh analysis alone, right? Only linear circuits.

Is there any benefit of the old method of solving circuits (using KCL & KVL)? No there is no benefit of using KCL/KCL over mesh/nodal analysis, because they're the same concept.

Is there any benefit of using voltage division and current division when applying nodal and mesh analysis? No. Voltage/current division is only handy when you want to do a quick calculation. You can still use nodal/mesh (or KVL/KCL) to get the same exact answer.

I remember that when solving circuits through the use of KCL & KVL, you would sometimes need to apply voltage and current division. But because both divisions and both nodal & mesh analysis are derived from a combination of Ohm's law and Kirchhoff's laws, then the divisions are no longer necessary when solving a circuit using nodal/mesh analysis, right? Yes.
 
  • #5
Knowing both KCL/KVL and mesh are useful... they are the same concept but sometimes one is easier than the other.

Also, these techniques are often used in active circuits where we use linear models for the active devices. They are worth knowing!
 
  • #6
Invalid,

So it seems that you can solve any circuit problem using nodal analysis and mesh analysis alone, right? Only linear circuits.

Don't forget the branch analysis method: http://www.daenotes.com/electronics/basic-electronics/branch-current-method#axzz2MRkoAOPU . Also simplification using supernodes and superloops Then there is Thevinin's and Norton's theorms. In addition you have to deal with independent and dependent voltage and current sources.

Is there any benefit of the old method of solving circuits (using KCL & KVL)?

Certainly, it gives you an answer.

No there is no benefit of using KCL/KCL over mesh/nodal analysis, because they're the same concept.

And what concept is that? If you have a circuit with 5 nodes and 3 loops, using the loop method would mean you solve for three unknowns instead of 5 unknowns.

Is there any benefit of using voltage division and current division when applying nodal and mesh analysis?

Yes, it can simplify the circuit.

I remember that when solving circuits through the use of KCL & KVL, you would sometimes need to apply voltage and current division. But because both divisions and both nodal & mesh analysis are derived from a combination of Ohm's law and Kirchhoff's laws, then the divisions are no longer necessary when solving a circuit using nodal/mesh analysis, right?

Nodal and loop analysis always work, but voltage proportion and current division can help simplify a circuit.

Ratch
 

1. What do you mean by "connections" between concepts?

By "connections" between concepts, we are referring to the relationships or links that exist between different ideas, theories, or principles. These connections can be based on similarities, differences, cause-and-effect relationships, or any other type of relationship that helps to better understand the concepts.

2. How do you determine the connections between concepts?

The process of determining connections between concepts involves thorough research, analysis, and critical thinking. It may also involve drawing on existing knowledge and theories to make connections between new concepts. Additionally, discussions and collaborations with other experts in the field can help to clarify and strengthen connections between concepts.

3. Can you give an example of connections between concepts?

One example of connections between concepts is the relationship between gravity and the motion of objects. The concept of gravity, as explained by Newton's law of universal gravitation, helps to explain the motion of objects on Earth and in space. This connection between the two concepts allows us to better understand and predict the behavior of objects in the universe.

4. Why is it important to clarify the connections between concepts?

Clarifying the connections between concepts is important because it allows us to gain a deeper understanding of the subject matter. It also helps to identify any gaps or inconsistencies in our understanding of the concepts. By clarifying these connections, we can build upon existing knowledge and develop new theories and ideas.

5. Can the connections between concepts change over time?

Yes, the connections between concepts can change over time. As new research and discoveries are made, our understanding and interpretation of concepts can evolve and change. Additionally, connections between concepts may also change as new concepts are introduced or as our perspective and approach to understanding them shifts.

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