What Are Alternative Methods to Wye-Delta for Calculating Equivalent Resistance?

In summary, the conversation discusses different methods to solve a problem involving calculating the equivalent resistance between two points, A and B. One person suggests using the wye-delta transformation while the other person suggests looking at the circuit in a different way, by flipping the upper half and considering points C and E as the same and points D and F as the same. This would result in a simplified circuit. The conversation ends with the confirmation that this method is correct.
  • #1
arpon
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Homework Statement


upload_2015-1-13_16-23-45.png

Calculate the equivalent resistance between A and B.[/B]

Homework Equations

The Attempt at a Solution


I solved this problem by using wye-delta transformation. Is there any other method to solve this? The speciality in this circuit, I noticed, two of resistances are 0.[/B]
 
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  • #2
Yes there is. Look at the square on the right. They try to confuse you by drawing it this way, but if you flip down the upper half, you see that the four 4 ##\Omega## resistors are in fact all ...
 
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  • #3
BvU said:
Yes there is. Look at the square on the right. They try to confuse you by drawing it this way, but if you flip down the upper half, you see that the four 4 ##\Omega## resistors are in fact all ...
upload_2015-1-13_19-46-52.png

So, I can think C and E as the same point. D and F are the same point too. So, I can change this circuit intothis one:
upload_2015-1-13_19-55-4.png


Am I right?
 
  • #4
That's the idea, yes.
 
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  • #5


There are several methods to solve for equivalent resistance in a circuit, including the wye-delta transformation method. Other methods include using Kirchhoff's laws, Thevenin's theorem, and Norton's theorem. Each method has its own advantages and may be more suitable for certain types of circuits. In this particular circuit, the fact that two resistances are 0 may suggest that there is a simpler method to solve for the equivalent resistance. It would be helpful to provide a diagram or more information about the circuit in order to determine the best method for solving.
 

Related to What Are Alternative Methods to Wye-Delta for Calculating Equivalent Resistance?

1. What is equivalent resistance?

Equivalent resistance is the overall resistance of a circuit or a combination of resistors. It represents the total opposition to the flow of electric current in a circuit.

2. How is equivalent resistance calculated?

The equivalent resistance of resistors connected in series can be calculated by adding each individual resistance. For resistors connected in parallel, the equivalent resistance is calculated by taking the reciprocal of each resistance and then adding them together, and finally taking the reciprocal of the sum.

3. Why is equivalent resistance important?

Equivalent resistance is important because it allows us to simplify complex circuits into a single resistance value. This makes it easier to analyze and understand the behavior of the circuit.

4. Can equivalent resistance be greater than the individual resistances in a circuit?

Yes, equivalent resistance can be greater than the individual resistances in a circuit. This is typically seen in parallel circuits where the equivalent resistance is always smaller than the smallest individual resistance, but can be larger than the largest individual resistance.

5. How does temperature affect equivalent resistance?

Temperature can affect equivalent resistance because as the temperature increases, the resistance of a conductor also increases. This can lead to a change in the overall equivalent resistance of a circuit. Some materials, like thermistors, have a temperature-dependent resistance and can be used to control the equivalent resistance in a circuit.

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