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Calculate 3 Phase Current from kW

3-Phase Current Formula:

\[ I = \frac{P_{kW} \times 1000}{V \times PF \times \sqrt{3}} \]

kW
V (line-to-line)

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1. What is 3-Phase Current Calculator?

Definition: This calculator determines the current in a 3-phase electrical system based on power in kilowatts, line-to-line voltage, and power factor.

Purpose: It helps electricians and engineers properly size wires, circuit breakers, and other electrical components in 3-phase systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ I = \frac{P_{kW} \times 1000}{V \times PF \times \sqrt{3}} \]

Where:

Explanation: The power in kW is converted to watts (×1000), then divided by the product of voltage, power factor, and √3 (1.732) for 3-phase systems.

3. Importance of 3-Phase Current Calculation

Details: Accurate current calculation ensures proper equipment sizing, prevents overheating, and maintains system efficiency in industrial and commercial electrical systems.

4. Using the Calculator

Tips: Enter the power in kW, line-to-line voltage (default 480V), and power factor (default 0.8). All values must be > 0 (PF between 0.01-1).

5. Frequently Asked Questions (FAQ)

Q1: Why is √3 used in the formula?
A: √3 (approximately 1.732) accounts for the phase difference in 3-phase systems when converting between line-to-line and phase quantities.

Q2: What's a typical power factor value?
A: Motors typically have 0.8-0.9 PF, while purely resistive loads have 1.0. Industrial plants often aim for 0.95+.

Q3: What voltage should I use?
A: Common 3-phase voltages are 208V, 240V, 480V, or 600V in North America. Use your system's line-to-line voltage.

Q4: Can I use this for single-phase calculations?
A: No, use our Single-Phase Current Calculator as the formula differs (no √3 factor).

Q5: How does power factor affect current?
A: Lower power factor results in higher current for the same real power, increasing conductor size requirements.

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