Circuit Theory/Symmetry
Some very complicated circuits can be solved by seeing symmetry. Three examples are presented below:
Example 1Edit
Bridge Balance
Example 2Edit
Cube
Example 3Edit
2D-Grid
Suppose there is an infinite 2 dimensional grid of impedances (Z). What is the input impedance if connected across (in parallel) with any given impedance?
If the grid were three dimensional, the current would split into 6 equal sections, thus the input impedance would be Z/3.
So what does this mean? It helps us understand that the infinity of space has an impedance: 376.730... ohms which is plank's impedance * 4π and is related to the speed of light, the permeability of free space and permitivity of free space.
Perhaps this is related entanglement and to the trinity since: