Effective resistance between two points using symmetry

Thread starter Jahnavi
Start date Apr 10, 2018
Tags

Points Resistance Symmetry

In summary, @tnich is trying to solve the homework equation by symmetry, but ends up not being able to. @gneill and @ehild offer no help, but suggest following @BvU's suggestions.

Apr 11, 2018

Jahnavi

@BvU ,

I have posted another question here https://www.physicsforums.com/threads/equivalent-resistance-between-two-points.944478/ .

The problem is solved . But I am still not very confident about exploiting symmetries and arguing which points are equipotential. If you have some insight in that problem or would like to share your reasoning as to how you would tackle that problem , please do so .

Thanks !

<h2>1. What is effective resistance?</h2><p>Effective resistance is a measure of the resistance between two points in an electrical circuit, taking into account all the resistors and their connections between those two points.</p><h2>2. How is effective resistance calculated?</h2><p>Effective resistance can be calculated using the symmetry method, which involves identifying symmetrical points in the circuit and using their resistances to determine the overall effective resistance.</p><h2>3. Why is the symmetry method used to calculate effective resistance?</h2><p>The symmetry method is used because it simplifies the calculation process and reduces the number of equations that need to be solved, making it a more efficient method for determining effective resistance.</p><h2>4. Can the symmetry method be used for any circuit?</h2><p>Yes, the symmetry method can be used for any circuit as long as there are symmetrical points present. However, it may not always be the most efficient method for calculating effective resistance in more complex circuits.</p><h2>5. Are there any limitations to using the symmetry method for calculating effective resistance?</h2><p>One limitation of the symmetry method is that it can only be used for circuits with symmetrical points. Additionally, it may not be accurate for circuits with non-linear components or for circuits with multiple sources of electricity.</p>

1. What is effective resistance?

Effective resistance is a measure of the resistance between two points in an electrical circuit, taking into account all the resistors and their connections between those two points.

2. How is effective resistance calculated?

Effective resistance can be calculated using the symmetry method, which involves identifying symmetrical points in the circuit and using their resistances to determine the overall effective resistance.

3. Why is the symmetry method used to calculate effective resistance?

The symmetry method is used because it simplifies the calculation process and reduces the number of equations that need to be solved, making it a more efficient method for determining effective resistance.

4. Can the symmetry method be used for any circuit?

Yes, the symmetry method can be used for any circuit as long as there are symmetrical points present. However, it may not always be the most efficient method for calculating effective resistance in more complex circuits.

5. Are there any limitations to using the symmetry method for calculating effective resistance?

One limitation of the symmetry method is that it can only be used for circuits with symmetrical points. Additionally, it may not be accurate for circuits with non-linear components or for circuits with multiple sources of electricity.