Conversion using the Horsepower to Amperes Calculation Formula
Ampere Calculation Formula for a Single Phase AC Motor:
Yes, that's a valid formula for calculating Amperes (A) for an AC motor based on its horsepower (HP), voltage (V), efficiency (%), and power factor (PF).
- Amps = Current in amperes (A)
- HP = Motor power in horsepower (HP)
- 746 = Conversion factor (since 1 horsepower = 746 watts)
- V = Voltage applied to the motor (in volts, V)
- % Efficiency = Motor efficiency (expressed as a percentage, e.g., 85% efficiency is 0.85)
- PF = Power factor (unitless, typically between 0.8 and 1.0)
Where:
Ampere Calculation Formula for a Three Phase AC Motor:
For a 3-phase AC motor, the formula for calculating the amperes (A) becomes:
- Amps = Current in amperes (A)
- HP = Motor power in horsepower (HP)
- 746 = Conversion factor (since 1 horsepower = 746 watts)
- V = Voltage applied to the motor (in volts, V)
- % Efficiency = Motor efficiency (expressed as a percentage, e.g., 85% efficiency is 0.85)
- PF = Power factor (unitless, typically between 0.8 and 1.0)
- √3 = The square root of 3 (approximately 1.732) to account for the three-phase system.
Where:
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How to use Explanation Calculator?
- The √3 factor comes into play in 3-phase systems to represent the relationship between phase and line voltages.
- This formula adjusts for both the efficiency and the power factor, ensuring that the current needed is accurately calculated based on the motor's real-world performance.
Steps for Calculation (3-phase):
- Convert Horsepower (HP) to Watts (W) by multiplying by 746. P(W) = P(HP) × 746
- Use the formula to calculate the current (Amps).
Horsepower to Amperes conversion chart
Motor Type | Formula | Example Calculation |
---|---|---|
Single Phase | Amps = [HP * 746] / [V * Efficiency * PF] | Amps = [10 * 746] / [230 * 0.85 * 0.9] = 47.38 A |
3-Phase | Amps = [HP * 746] / [√3 * V * Efficiency * PF] | Amps = [10 * 746] / [1.732 * 400 * 0.85 * 0.9] = 11.49 A |