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Line Voltage To Phase Voltage Calculator With Current

Line to Phase Voltage Formula:

\[ V_{phase} = \frac{V_{line}}{\sqrt{3}} \]

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1. What is Line to Phase Voltage Conversion?

In three-phase electrical systems, line voltage (also called line-to-line voltage) is the voltage between any two phases, while phase voltage is the voltage between any phase and neutral. The relationship between them is fundamental in three-phase power systems.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ V_{phase} = \frac{V_{line}}{\sqrt{3}} \]

Where:

Explanation: In a balanced three-phase system, the phase voltage is the line voltage divided by the square root of three.

3. Importance of Voltage Conversion

Details: Understanding the relationship between line and phase voltages is crucial for designing and analyzing three-phase systems, transformer configurations, and motor connections.

4. Using the Calculator

Tips: Enter the line voltage in volts. Optionally, you can enter current to calculate power. The calculator will automatically compute the phase voltage and (if current is provided) the power.

5. Frequently Asked Questions (FAQ)

Q1: When is this conversion needed?
A: This conversion is essential when working with wye (Y) connected systems where equipment ratings are in phase voltages.

Q2: Does this apply to delta connections?
A: In delta connections, line and phase voltages are equal, so no conversion is needed.

Q3: What's the difference between line and phase current?
A: In wye systems, line and phase currents are equal. In delta systems, line current is phase current times √3.

Q4: Why √3 in the formula?
A: The √3 factor comes from the 120° phase difference between voltages in three-phase systems.

Q5: Is this valid for unbalanced systems?
A: This calculator assumes a balanced system. For unbalanced systems, more complex calculations are needed.

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