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For a given fixed tree of a network, the following form an independent set: 1. Branch currents 2. Link voltages Which of the above is / are correct?

For a given fixed tree of a network, the following form an independent set: 1. Branch currents 2. Link voltages Which of the above is / are correct? Correct Answer Neither 1 nor 2

Twig: The branch of a tree is called as twig indicated by thick Line. Any tree with n nodes has (n–1) twigs.

Link: The branch of a co tree is called link indicated by dotted Line. For any graph with n nodes and b branches, numbers of links = b – n + 1

Link currents form an independent set, as each link with other tree branches forms a unique loop or fundamental loop. This gives rise to loop method of Network analysis using KVL to each loop.

Twig voltages form an independent set, as each with with other tree branches forms a unique cut-set. This gives rise to nodal method of Network analysis using KCL to each loop.

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