If in a Y-connected ac generator, each phase voltage has a magnitude of 90 VRMS, what is the magnitude of each line voltage?
A. 0 V
B. 90 V
C. 156 V
D. 180 V
Answer: Option C
Solution (By Examveda Team)
Understanding Y-connected Generators:Imagine a Y-connected generator as a three-legged star. Each leg represents a phase, and the voltage across each phase is called the phase voltage.
The line voltage, on the other hand, is the voltage measured between any two of the three legs (lines).
Calculating Line Voltage:
In a Y-connection, the line voltage is not simply equal to the phase voltage. Because the phases are 120 degrees apart, the relationship is based on the geometry of an equilateral triangle.
The formula to find the line voltage (VL) from the phase voltage (Vph) is: VL = √3 * Vph
Solving the Problem:
We are given that the phase voltage (Vph) is 90 VRMS. Using the formula:
VL = √3 * 90 V ≈ 156 V
Therefore, the magnitude of each line voltage is approximately 156 V.
The Correct Answer:
The correct option is C: 156 V
This Question Belongs to Electrical Engineering >> Three Phase Systems In Power Applications
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Related Questions on Three Phase Systems In Power Applications
In a Y-connected source feeding a ∆-connected load,
A. Each phase of the load has one-third of the full line voltage across it
B. Each phase of the load has two-thirds of the full line voltage across it
C. Each phase of the load has the full line voltage across it
D. Each phase of the load has a voltage across it equal to $$\sqrt 3 $$
A. Single-phase 32 A; three-phase 16 A
B. Single-phase 16 A; three-phase 8 A
C. Single-phase 8 A; three-phase 4 A
D. Single-phase 16 A; three-phase 0 A
Please explain
Possible hua hai 👍
90 * sqrt(3) = 155.88 = 156.
How is that possible?