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    Question

    In a nodal analysis a circuit with 10 nodes will have

    _______ unknown voltage and _______equation. 
    A 10 unknown voltage and 5 equations. Correct Answer Incorrect Answer
    B 5 unknown voltage and 5 equations. Correct Answer Incorrect Answer
    C 9 unknown voltage and 9 equations. Correct Answer Incorrect Answer
    D 10 unknown voltage and 10 equations. Correct Answer Incorrect Answer

    Solution

    In nodal analysis, the number of unknown node voltages is always (total nodes – 1) because one node is taken as the reference (ground). The number of independent nodal equations is also equal to the number of unknown voltages. For a circuit with 10 nodes: ●      Unknown voltages = 10 – 1 = 9 ●      Equations = 9

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