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Network TheoryMesh Analysis

Two adjacent meshes have currents I1 and I2 flowing through a common resistor R in opposite directions. The voltage drop associated with mesh I1 across the common resistor is?

  • AR(I1+I2)
  • BR(I1-I2)
  • CR/I1
  • DR(I2-I1) only regardless of reference
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Correct Answer: B. R(I1-I2)
Explanation: With the mesh currents opposing each other in the shared branch, the branch current referenced in I1's direction is I1-I2, so the drop is R(I1-I2).
Reference: Standard network theory: mesh analysis
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