A. Prove that in a linear graph, every cut-set has an even number of branches in common with every loop. B. (a) Write notes on network equilibrium equation. (b) Establish that the independent loop...

B. (a) Write notes on network equilibrium equation.

(b) Establish that the independent loop equations of a network can be formulated from the tie-set matrix of its graph, with illustrative examples.

(c) Establish the formulation of node equations of a network from the cut-set matrix.

C. Using the topological properties of a network graph, describe the step-by-step procedure of analyzing a network by the node voltage method.