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Network TheoryMatrix Network Analysis

For the equations 5V1-2V2=6 and -2V1+4V2=2, the node voltage V1 is?

  • A1.00 V
  • B1.75 V
  • C2.25 V
  • D3.50 V
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Correct Answer: B. 1.75 V
Explanation: Solving simultaneously: the second equation gives V1=2V2-1. Substitution yields V2=1.375 V, hence V1=1.75 V.
Reference: Standard network theory: nodal matrix solution numerical
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