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Home › Network Theory › A two-node reduced nodal matrix is [[5,-2],[-2,4]] siemens. If the injected-current vector is [6,2] A, which equations are correct?
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Network TheoryMatrix Network Analysis

A two-node reduced nodal matrix is [[5,-2],[-2,4]] siemens. If the injected-current vector is [6,2] A, which equations are correct?

  • A5V1-2V2=6 and -2V1+4V2=2
  • B5V1+2V2=6 and 2V1+4V2=2
  • C5V1-2V2=2 and -2V1+4V2=6
  • DV1+V2=8 only
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Correct Answer: A. 5V1-2V2=6 and -2V1+4V2=2
Explanation: Direct multiplication of YV=I gives 5V1-2V2=6 and -2V1+4V2=2.
Reference: Standard network theory: nodal matrix numerical
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