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Formula for Three Phase Power

Three-Phase Power Formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

volts (V)
amperes (A)
(0 to 1)

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1. What is Three-Phase Power?

Three-phase power is a common method of alternating current electric power generation, transmission, and distribution. It is more efficient than single-phase power for large loads and industrial applications.

2. How Does the Calculator Work?

The calculator uses the three-phase power formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

Where:

Explanation: The formula calculates real power in a balanced three-phase system, accounting for the phase difference between voltage and current.

3. Importance of Three-Phase Power Calculation

Details: Accurate power calculation is essential for sizing electrical equipment, determining energy consumption, and designing efficient electrical systems.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, current in amperes, and power factor (between 0 and 1). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between line-to-line and line-to-neutral voltage?
A: In three-phase systems, line-to-line voltage is √3 times the line-to-neutral voltage (208V line-to-line = 120V line-to-neutral).

Q2: What is power factor?
A: Power factor is the ratio of real power to apparent power, representing how effectively current is being converted into useful work.

Q3: When is this formula not applicable?
A: This formula assumes a balanced three-phase system. For unbalanced loads, each phase must be calculated separately.

Q4: What are typical power factor values?
A: Motors typically have PF of 0.8-0.9, resistive loads have PF=1, and capacitive/inductive loads have PF < 1.

Q5: How does this relate to single-phase power?
A: Single-phase power is P = V × I × PF (without the √3 factor). Three-phase delivers more power with less conductor material.

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