Difficulty: Easy
Correct Answer: 3,464 V
Explanation:
Introduction / Context:
Calculating line-to-line voltage from a known phase voltage in a Y connection is a frequent task in power distribution and equipment specification. The √3 factor is a direct consequence of 120° phasor geometry in balanced three-phase systems.
Given Data / Assumptions:
Concept / Approach:
For Y: V_line = √3 * V_phase. The line-to-line voltage is the phasor difference of two line-to-neutral voltages separated by 120°, yielding a magnitude √3 times larger than a single phase voltage.
Step-by-Step Solution:
Verification / Alternative check:
Common standards (e.g., 230/400 V) follow the same ratio. This consistency reinforces the calculation method and result here.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
3,464 V
Discussion & Comments