How to use symmetry in resistance networks?

[anu_rox]

how to use symmetry in resistance networks??

Hi all
I m really confused in these resistor questions..In some circuits they say that some are neglected coz they are equipotential points and using symmetry in these questions..What is this method of symmetry?? How some of the pints are equipotential points and resistors between these are neglected??
I have also read something like points on perpendicular axis are equipotential points and something about parallel axis..
Thanks in advance..

anu

 

[gtoguy97]

Using symmetry in resistance networks means that if two sides of the circuit are the same, then the resistance across them should also be the same. For example, if the circuit has two resistors of the same value connected in series between two points, then the voltage drop across those two points should be the same. Similarly, if two points are connected by two resistors of different values, then the total resistance between those points should remain the same, regardless of the orientation of the resistors. This kind of symmetry can be used to simplify the calculations in a circuit and can make it easier to solve.

 

[astrokreng]

Hello Anu,

Symmetry in resistance networks refers to the concept of using the symmetrical arrangement of resistors in a circuit to simplify calculations and identify equivalent resistances. This technique is based on the fact that in a symmetrical circuit, the resistors are arranged in a way that allows for the same amount of current to flow through each branch, making it easier to calculate the total resistance.

One way to use symmetry in resistance networks is by identifying equipotential points, which are points in a circuit where the potential difference is zero. In these points, the voltage is the same, and therefore the resistors connected to them can be considered to have no effect on the overall resistance of the circuit. This allows us to simplify the circuit and reduce the number of resistors to be considered in our calculations.

Another way to use symmetry is by identifying parallel and perpendicular axes in a circuit. In a symmetrical circuit, points that lie on parallel axes have the same potential difference, and points that lie on perpendicular axes have no potential difference. This allows us to simplify the circuit and calculate the equivalent resistance by considering only one branch of the circuit.

In conclusion, using symmetry in resistance networks can help us simplify complex circuits and make calculations easier. It is a useful technique for understanding the behavior of resistors in a circuit and can be applied to various circuit configurations. I hope this helps clarify the concept for you. Let me know if you have any further questions.