Short Note to the Lecture of April 19th Kirhhof Laws 1 & 2. - презентация
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Short Note to the Lecture of April 19th Kirhhof Laws 1 & 2
Independent loops A loop that has a branch that does NOT belong to any other loop, is an INDEPENDENT CIRCUIT LOOP (contour). These three circuits are independent (any next circuit such as green shown on he next page will be dependent).
Dependent loops If all branches of a loop belong also to other loop(s), such circuit loop is a DEPENDENT CIRCUIT LOOP (thus 2 nd Kirhhoffs Law is not considered for such): Here, the circuit shown in green colour would be dependent once the black, red, and blue are considered independent.
Linearly dependent equation(s) For dependent circuits there is no need to produce the 2 nd Kirhhoffs Law because it would be excessive / needless / superfluous / redundant.
As for the 1 st Kirhhoffs Law, it is necessary and sufficient to consider (N-1) nods: the Nth nod would be superfluous (excessive) to consider (gives linearly dependent – thus REDUNDANT equation).