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GATE2020-EE-7

A three-phase cylindrical rotor synchronous generator has a synchronous

reactance $X_{s}$ and a negligible armature resistance. The magnitude of per phase

terminal voltage is $V_{A}$ and the magnitude of per phase induced emf is $E_{A}$.

Considering the following two statements, $\text{P and Q}$,

$\text{P}$: For any three-phase balanced leading load connected across the

terminals of this synchronous generator, $V_{A}$ is always more than $E_{A}$ 

$\text{Q}$: For any three-phase balanced lagging load connected across the

terminals of this synchronous generator, $V_{A}$ is always less than $E_{A}$

which of the following options is correct?

  1. $\text{P is false and Q is true}$.
  2. $\text{P is true and Q is false}$.
  3. $\text{P is false and Q is false}$.
  4. $\text{P is true and Q is true}$.
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