If a circuit has L closed loops, B branches, and J junctions the number of independent loop equations is:
A) B - J + 1
B) B - J
C) B
D) L
E) L - J

Question

Quizplus · Accepted Answer

The number of independent loop equations in a circuit can be determined by the formula $B - J + 1$, where $B$ is the number of branches, and $J$ is the number of junctions. This formula is derived from Kirchhoff's circuit laws, specifically from the combination of Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL), ensuring that the number of independent equations is sufficient to solve for the unknowns in the circuit.

If a Circuit Has L Closed Loops, B Branches, and J