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Two identical synchronous machines A and B running at same speed are connected to each other through an inductor. Machine A is supplying an active power to Machine B and Machine B is supplying reactive power to Machine A, then which among the following is correct?
  • a)
    |Va| > |Vb|
  • b)
    |Va| < |Vb|
  • c)
    |Va| = |Vb|
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two identical synchronous machines A and B running at same speed are c...
Concept:
Active power is directly proportional to the load angle i.e. P ∝ δ
Reactive power is directly proportional to the voltage ∝ V
Application:
Machine A is supplying an active power to Machine B i.e.
⇒ δA > δB
Machine B is supplying reactive power to Machine A
⇒ |Va| < |Vb|
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Community Answer
Two identical synchronous machines A and B running at same speed are c...
Explanation:
Machine A is supplying active power to Machine B, which means Machine A is generating real power that is being consumed by Machine B. On the other hand, Machine B is supplying reactive power to Machine A, indicating that Machine B is providing reactive power support to Machine A.

Relationship between Voltage Magnitudes:
Since Machine A is supplying active power and Machine B is supplying reactive power, the voltage magnitude at Machine A (|Va|) would be less than the voltage magnitude at Machine B (|Vb|). This is because the reactive power flow from Machine B to Machine A causes a voltage rise at Machine B and a voltage drop at Machine A.
Therefore, the correct option is:

|Va| < />
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