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If there are b branches and n nodes, then how many node-voltage equations are required?

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If there are b branches and n nodes, then how many node-voltage equations are required?

(a) n

(b) b+1

(c) n-1

(d) b

The question was posed to me in quiz.

This intriguing question comes from The Node-Voltage Method Versus the Mesh-Current Method in chapter Techniques of Circuit Analysis of Electric Circuits

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Best answer
The correct answer is (c) n-1

The explanation is: If there are n nodes then n-1 nodal equations are required to describe the circuit. Branches do nothing in this case.

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