3 Phase Voltage Calculator

3 Phase Voltage Formula:

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

Line Voltage (V_line):

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1. What is 3 Phase Voltage Calculation?

The 3 phase voltage calculation determines the line voltage (V_line) from the phase voltage (V_phase) in a three-phase electrical system. This relationship is fundamental in power system analysis and electrical engineering.

2. How Does the Calculator Work?

The calculator uses the 3 phase voltage formula:

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

Where:

\( V_{line} \) — Line voltage (Volts)
\( V_{phase} \) — Phase voltage (Volts)
\( \sqrt{3} \) — Mathematical constant (approximately 1.732)

Explanation: In a balanced three-phase system, the line voltage is √3 times the phase voltage. This relationship is derived from the geometry of three-phase systems.

3. Importance of Voltage Calculation

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

4. Using the Calculator

Tips: Enter phase voltage in volts. The value must be positive and greater than zero. 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 three-phase system.

Q2: When is this calculation applicable?
A: This calculation applies to balanced three-phase systems, typically used in industrial power distribution and large commercial applications.

Q3: What are typical voltage values in three-phase systems?
A: Common three-phase voltages include 208V/120V, 480V/277V, and 600V/347V systems (line/phase voltages respectively).

Q4: Are there limitations to this equation?
A: This equation assumes a balanced three-phase system with sinusoidal waveforms and equal phase angles of 120 degrees between phases.

Q5: Can this be used for delta and wye configurations?
A: Yes, the relationship V_line = √3 × V_phase holds true for both delta and wye configurations in balanced three-phase systems.