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Home › Network Theory › Two parallel branches connect a node to ground. Branch 1 has a 10 V source in series with 5 ohm and branch 2 has a 5 V source in series with 5 ohm, with both source polarities tending to make the node positive. By Millman’s theorem, the node voltage is?
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Network TheoryNetwork Theorems

Two parallel branches connect a node to ground. Branch 1 has a 10 V source in series with 5 ohm and branch 2 has a 5 V source in series with 5 ohm, with both source polarities tending to make the node positive. By Millman’s theorem, the node voltage is?

  • A2.5 V
  • B5 V
  • C7.5 V
  • D15 V
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Correct Answer: C. 7.5 V
Explanation: V=(10/5+5/5)/(1/5+1/5)=3/0.4=7.5 V.
Reference: Standard network theory: Millman theorem numerical
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