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Calculate 3 Phase Current from kW Conversion

3-Phase Current Formula:

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

kW
V (line-to-line)
(0 to 1)

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1. What is 3-Phase Current Calculation?

The 3-phase current calculation converts electrical power (in kilowatts) to current (in amperes) for three-phase AC systems. This is essential for electrical system design, circuit protection, and equipment selection.

2. How Does the Calculator Work?

The calculator uses the 3-phase current formula:

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

Where:

Explanation: The formula accounts for the three-phase power relationship, converting kW to watts (×1000) and dividing by the product of voltage, power factor, and √3 (which relates line-to-line voltage to phase voltage).

3. Importance of 3-Phase Current Calculation

Details: Accurate current calculation is crucial for proper wire sizing, circuit breaker selection, motor protection, and ensuring electrical systems operate safely within their rated capacities.

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: What is a typical power factor value?
A: For industrial motors, 0.8-0.9 is common. Resistive loads have PF=1. Always check equipment specifications for exact values.

Q2: Why use line-to-line voltage?
A: Most 3-phase systems are specified by their line-to-line voltage (e.g., 208V, 480V), which is what you'd measure between any two phases.

Q3: How does this differ from single-phase current calculation?
A: Single-phase uses I=kW×1000/(V×PF) without the √3 factor. Three-phase is more efficient for the same power transfer.

Q4: What if I know kVA instead of kW?
A: For kVA, use I=kVA×1000/(√3×V) as power factor isn't needed (kVA already accounts for it).

Q5: When would I need this calculation?
A: When sizing wires, breakers, transformers, or verifying if existing equipment can handle additional loads.

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