Symmetry In Electrical Circuits

 

 

Symmetry In Electrical Circuits :- Symmetry in electrical circuits refers to the balanced and consistent arrangement of components and connections, simplifying circuit analysis and design. This method is based on identification of equipotential points and after connecting them to make calculations more manageable and predictable. In a given electrical circuit there may be two symmetric axis :-

(i) Parallel symmetric axis along the direction of current flow, &

(ii) Normal symmetric axis perpendicular to the direction of current flow as shown in figure below :-

 

In the above circuit axis XX’ is parallel symmetric axis and axis YY’ is normal symmetric axis. Note :-

• The points which lie on normal symmetric axis are equipotential points but the potential of points lying on parallel symmetric axis can never be equal.
• If we fold the above circuit with respect to parallel symmetric axis, then the overlapping points will be equipotential points as shown in figure below :-

In the above circuit equipotential points are :-

(A) 5 and 6

(B) 0, 2 and 4

(C) 7 and 8

Now finding the equivalent resistance between points 1 and 3 is easy as shown below :-

 

For more such types of circuits and their equivalent resistance read – How To Find The Equivalent Resistance of a Complex Circuit