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The Relationship Between kW and A When Calculating Contactor Power

กิโลวัตต์ (kilowatt) is a unit of power, and A (ampere) is a unit of current. They cannot be directly converted; a connection must be established through voltage (วี) and power factor (PF).

Basic Relationship Formula

The basic relationship between power (ป), แรงดันไฟฟ้า (U), and current (ฉัน) is:

P = U × I (Power = Voltage × Current)

From this formula, the following can be derived:

I = P / U (Current = Power / Voltage)

P = I × U (Power = Current × Voltage)

Specific Conversion Formulas

  1. ดี.ซี (Direct Current) Circuits

A = (kW × 1000) / วี

Example: For a power of 1 kW and a voltage of 100 วี, the current I = (1×1000)/100 = 10 ก

  1. เครื่องปรับอากาศ (Alternating Current) Single-Phase Circuits

A = (kW × 1000) / (V × PF)

PF (Power Factor): The ratio of real power to apparent power in an AC circuit, ranging from 0 ถึง 1.

Example: For a power of 1 กิโลวัตต์, a voltage of 220 วี, and PF = 0.8, the current I = (1×1000)/(220×0.8) 5.68 ก

  1. เครื่องปรับอากาศ (Alternating Current) Three-Phase Circuits

A = (kW × 1000) / (V × √3 × PF)

√3 ≈ 1.732

Example: For a power of 10 กิโลวัตต์, a voltage of 380 วี, and PF = 0.9, the current I = (10×1000)/(380×1.732×0.9) 16.99 ก

Why Direct Conversion Is Not Possible?

kW measures the rate of energy conversion, while A measures the rate of charge flow—they describe different physical quantities.

– 1 kW = 1000 W = 1000 V·A (1 kilowatt = 1000 watts = 1000 volt-amperes)

For the same power, the higher the voltage, the lower the current, and vice versa.

Practical Conversion Examples

ScenarioFormulaExample Calculation
Household Appliances (Single-Phase 220 วี)A = (kW × 1000)/(220 × 0.8)2 kW Air Conditioner: (2×1000)/(220×0.8) 11.36 ก
อุปกรณ์อุตสาหกรรม (Three-Phase 380 วี)A = (kW × 1000)/(380 × 1.732 × 0.9)15 kW Motor: (15×1000)/(380×1.732×0.9) 25.3 ก
Car Battery (12 V DC)A = (kW × 1000)/121.2 kW Inverter: (1.2×1000)/12 = 100 ก

สรุป

The relationship between kW and A is determined by the formula P = U × I. To convert between them, you must know the voltage and (for AC circuits) the power factor.

Remember: Power = Voltage × Current—this is a fundamental formula for understanding electrical systems.

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