Question

n a circuit, there are n number of nodes. the number of independent kcl equations that can be written for the circuit is :

Answer 1

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Answer 2

Answer:

In order to solve a circuit, we need twice the number of independent equations comparing to the elements present in it. These equations have 3 main sources, they are,

a)        In a circuit, if there are n is the count of nodes, then Kirchhoff’s Current law contributes, n-1 number of independent equations.

Where, n is the number of nodes

b)       Among these independent equations half of them are created from the element laws of individual components of the circuit.

c)        Third set can be obtained from Kirchhoff’s voltage law which produce (E-(n-1)) are independent equations, where the amount of elements present is E.