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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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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.
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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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