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    Question

    In a nodal analysis a circuit with 10 nodes will have

    _______ unknown voltage and _______equation.┬а
    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 тАУ 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: тЧП┬а┬а┬а┬а┬а Unknown voltages = 10 тАУ 1 = 9 тЧП┬а┬а┬а┬а┬а Equations = 9

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