Ohm's Law with Power Calculator
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Methodology
This calculator determines electrical power, voltage, current and resistance for HVAC systems, motors and control circuits.
Ohm's law defines the linear relationship between voltage (V), current (I) and resistance (R):
V = I × R
When power (P) is introduced, the set of equations expands to:
P = V × I = I² × R = V² ÷ R
These formulas let engineers estimate current and resistance for resistive loads such as electric heaters, and the heat output of resistive HVAC elements. They hold exactly only for resistive loads: motors and other inductive loads also need their power factor, and three-phase loads a factor of √3. Conductor and breaker sizing follow the NEC.
Calculation methods
Depending on which two quantities are known, the calculator applies:
| Known values | Calculations performed |
|---|---|
| Voltage (V), current (I) | P = V × I, R = V ÷ I |
| Voltage (V), resistance (R) | I = V ÷ R, P = V × I |
| Voltage (V), power (P) | I = P ÷ V, R = V ÷ I |
| Current (I), resistance (R) | V = I × R, P = V × I |
| Current (I), power (P) | V = P ÷ I, R = V ÷ I |
| Power (P), resistance (R) | I = √(P ÷ R), V = I × R |
Worked example
Given: a 208-volt electric duct heater rated at 4,500 watts. Find the operating current and resistance.
- I = P ÷ V = 4,500 ÷ 208 = 21.63 amps
- R = V ÷ I = 208 ÷ 21.635 = 9.61 ohms (with the unrounded current; 208 ÷ 21.63 would give 9.62)
This matches standard calculations for single-phase resistive HVAC loads, such as electric coils or reheat elements.
Further reading
- National Fire Protection Association (NFPA). NFPA 70: National Electrical Code (NEC), 2026 edition.
- ASHRAE. Standard 90.1-2025: Energy Standard for Sites and Buildings Except Low-Rise Residential Buildings.