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3 Phase Voltage Calculation Formula

3 Phase Voltage Formula:

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

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1. What is the 3 Phase Voltage Calculation Formula?

The 3 Phase Voltage Calculation Formula calculates line voltage from phase voltage in a 3-phase electrical system. This conversion is essential in power systems engineering and electrical design.

2. How Does the Calculator Work?

The calculator uses the 3 phase voltage formula:

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

Where:

Explanation: In a balanced 3-phase system, the line voltage is equal to the phase voltage multiplied by the square root of 3.

3. Importance of Voltage Calculation

Details: Accurate voltage calculation is crucial for proper electrical system design, equipment selection, and ensuring compatibility between different components in 3-phase power systems.

4. Using the Calculator

Tips: Enter phase voltage in volts. The value must be valid (voltage > 0). The calculator will compute the corresponding line voltage.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between line voltage and phase voltage?
A: Line voltage is the voltage between any two lines, while phase voltage is the voltage between any line and neutral in a 3-phase system.

Q2: When is this formula applicable?
A: This formula applies to balanced 3-phase systems, typically in star (wye) configurations where the relationship holds true.

Q3: What is the value of √3 used in the calculation?
A: The square root of 3 (approximately 1.732) is a mathematical constant that arises from the geometry of 3-phase systems and the 120-degree phase separation.

Q4: Are there different formulas for delta configurations?
A: In delta configurations, line voltage equals phase voltage, so no multiplication by √3 is needed.

Q5: What are typical applications of this calculation?
A: This calculation is used in power distribution, motor design, transformer sizing, and electrical system analysis in industrial and commercial settings.

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