Step-by-step example
Scenario: Convert star resistors R1=10Ω, R2=20Ω, R3=30Ω to delta.
Formula: Ra = (R1xR2 + R2xR3 + R3xR1) / R3
- Sum = 10x20 + 20x30 + 30x10 = 1100
- Ra = 1100/30 = 36.67Ω
- Rb = 1100/10 = 110Ω
- Rc = 1100/20 = 55Ω
Result: Delta: Ra=36.67Ω, Rb=110Ω, Rc=55Ω
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.
- 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.
- NIST Glossary - Watt (W) - Defines the watt as a unit of power equal to one joule per second.