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For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?
- a)4 X
- b)2 X
- c)X
- d)0.5 X
Correct answer is option 'D'. Can you explain this answer?
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For a given base voltage and base volt-amp, the per unit impedance val...
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For a given base voltage and base volt-amp, the per unit impedance val...
To understand why the per-unit impedance value of an element becomes 0.5X when both the voltage and volt-amp bases are doubled, let's break down the problem into several steps.
1. Understanding per-unit impedance:
The per-unit impedance is a way to express the impedance of an element relative to a reference value. It is often used in power system analysis to simplify calculations and compare different elements. The per-unit impedance is calculated using the formula:
Per-unit impedance = Actual impedance / Base impedance
2. Doubling the voltage base:
When the voltage base is doubled, it means that the reference voltage for per-unit calculations is now twice the original value. This means that the base impedance will be halved to maintain the same per-unit values for the existing elements in the system.
3. Doubling the volt-amp base:
When the volt-amp base is doubled, it means that the reference apparent power for per-unit calculations is now twice the original value. This means that the base impedance will also be halved to maintain the same per-unit values for the existing elements in the system.
4. Implication on the per-unit impedance value:
Since both the voltage and volt-amp bases are doubled, the base impedance will be halved twice. Mathematically, if the original per-unit impedance value is X, halving it twice will result in 0.5X.
Therefore, the per-unit impedance value of the element will be 0.5X when both the voltage and volt-amp bases are doubled.
1. Understanding per-unit impedance:
The per-unit impedance is a way to express the impedance of an element relative to a reference value. It is often used in power system analysis to simplify calculations and compare different elements. The per-unit impedance is calculated using the formula:
Per-unit impedance = Actual impedance / Base impedance
2. Doubling the voltage base:
When the voltage base is doubled, it means that the reference voltage for per-unit calculations is now twice the original value. This means that the base impedance will be halved to maintain the same per-unit values for the existing elements in the system.
3. Doubling the volt-amp base:
When the volt-amp base is doubled, it means that the reference apparent power for per-unit calculations is now twice the original value. This means that the base impedance will also be halved to maintain the same per-unit values for the existing elements in the system.
4. Implication on the per-unit impedance value:
Since both the voltage and volt-amp bases are doubled, the base impedance will be halved twice. Mathematically, if the original per-unit impedance value is X, halving it twice will result in 0.5X.
Therefore, the per-unit impedance value of the element will be 0.5X when both the voltage and volt-amp bases are doubled.
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For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer?
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For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer?.
For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a given base voltage and base volt-amp, the per unit impedance value of an element is X. What will be the per-unit impedance value of this element when the voltage andvolt-amp bases are both doubled?a)4 Xb)2 Xc)Xd)0.5 XCorrect answer is option 'D'. Can you explain this answer?.
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