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Line Voltage To Phase Voltage Calculator With Power

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 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 calculations.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

For power calculations: \[ P = \sqrt{3} \times V_{line} \times I \]

Explanation: The √3 factor comes from the 120° phase difference between the three phases in a balanced system.

3. Importance of Voltage Conversion

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

4. Using the Calculator

Tips: Enter line voltage in volts. You can optionally enter either power or current to calculate the other value. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: When is this conversion needed?
A: When working with wye-connected systems where equipment ratings are in phase voltage but you only have line voltage measurements.

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 connections, line and phase currents are equal. In delta connections, line current is √3 times phase current.

Q4: How accurate is this calculation?
A: It's mathematically exact for balanced three-phase systems. Real-world systems may have slight imbalances.

Q5: Can I use this for single-phase systems?
A: No, in single-phase systems, line and phase voltages are the same (no √3 factor).

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