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A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.
P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.
Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.
Which of the following options is correct?
P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.
Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.
Which of the following options is correct?
- a)P is true and Q is true.
- b)P is true and Q is false.
- c)P is false and Q is false.
- d)P is false and Q is true.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A three-phase cylindrical rotor synchronous generator has a synchronou...
Statement Analysis:
P: For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.
Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.
Correct option: D (P is false and Q is true)
Explanation:
Per phase induced emf, EA = Vt + jXS*Ia, where Vt is the per phase terminal voltage and Ia is the armature current.
For a balanced three-phase system, the load current is also balanced, i.e., Ia = I(load).
Leading load:
In a leading load, the power factor is leading, i.e., the load current leads the terminal voltage. Therefore, the armature current Ia leads the terminal voltage Vt by an angle greater than 0° and less than 90°.
From the phasor diagram, it can be observed that:
|EA| > |Vt|
Therefore, statement P is false.
Lagging load:
In a lagging load, the power factor is lagging, i.e., the load current lags the terminal voltage. Therefore, the armature current Ia lags the terminal voltage Vt by an angle greater than 90° and less than 180°.
From the phasor diagram, it can be observed that:
|EA| < />
Therefore, statement Q is true.
Hence, the correct option is D (P is false and Q is true).
P: For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.
Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.
Correct option: D (P is false and Q is true)
Explanation:
Per phase induced emf, EA = Vt + jXS*Ia, where Vt is the per phase terminal voltage and Ia is the armature current.
For a balanced three-phase system, the load current is also balanced, i.e., Ia = I(load).
Leading load:
In a leading load, the power factor is leading, i.e., the load current leads the terminal voltage. Therefore, the armature current Ia leads the terminal voltage Vt by an angle greater than 0° and less than 90°.
From the phasor diagram, it can be observed that:
|EA| > |Vt|
Therefore, statement P is false.
Lagging load:
In a lagging load, the power factor is lagging, i.e., the load current lags the terminal voltage. Therefore, the armature current Ia lags the terminal voltage Vt by an angle greater than 90° and less than 180°.
From the phasor diagram, it can be observed that:
|EA| < />
Therefore, statement Q is true.
Hence, the correct option is D (P is false and Q is true).
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A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer?
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A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer?.
A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer?.
Solutions for A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A three-phase cylindrical rotor synchronous generator has a synchronous reactance Xs and a negligible armature resistance. The magnitude of per phase terminal voltage is VA and the magnitude of per phase induced emf is EA. Considering the following two statements, P and Q.P : For any three-phase balanced leading load connected across the terminals of this synchronous generator, VA is always more than EA.Q : For any three-phase balanced lagging load connected across the terminals of this synchronous generator, VA is always less than EA.Which of the following options is correct?a)P is true and Q is true.b)P is true and Q is false.c)P is false and Q is false.d)P is false and Q is true.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
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