The semi-infinite resistance.

semi_infinite

Determine the semi-infinite resistance between the circuit points A and B, if
resistance of each unit/link is equal to R.


Solution. Posted on Saturday, December 13, 2014.

semi_infinite_sol1
In order to solve this problem, we have to simplify this circuit. From the symmetry of the circuit, it is clear that the electric potential of the point 1 equal to the electric potential of the point 6, the electric potential of the point 2 equal to the electric potential of the point 7 and etc. So, the new circuit will be
SOl_semi_infinite
We could replace the new circuit by
semi_infinite_sol2
semi_infinite_sol3
semi_infinite_sol4
semi_infinite_sol5

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