Step-by-step example
Scenario: A 10 HP three-phase motor, 480V, 90% efficiency, 0.85 PF.
Formula: I = (HP x 746) / (V x sqrt(3) x Eff x PF)
- I = (10 x 746) / (480 x 1.732 x 0.90 x 0.85)
- I = 7460 / 635.58
- I = 11.74 Amps
Result: 11.74 Amps per phase
Use cases
- Estimate motor or transformer current and sizing values.
- Compare star vs delta relationships quickly.
- Support preliminary equipment selection decisions.
- Document assumptions for project planning.
Assumptions & limitations
- Results are estimates and may be rounded; small differences are expected.
- Inputs assume steady-state values; transient and surge effects are not modeled.
- Voltage can vary by supply, load, and location; use measured values when possible.
- Power factor varies by load type; use a realistic value for inductive equipment.
- Wiring rules and safety codes vary by jurisdiction; consult a licensed electrician for installation decisions.
Sources & references
- OSHA Electrical Standards overview - Summarizes electrical safety standards and references NFPA 70/70E.
- ORNL Power Factor training (DOE) - Explains power factor and provides three-phase real power formula.
- OpenStax University Physics - Electrical energy and power - Defines electric power relationships such as P = IV and ties them to circuit variables.
- NIST Glossary - Joule - Defines the joule as a unit of energy and relates it to electrical quantities.