What Is the Resistance and Power for 480V and 80A?

With 480 volts across a 6-ohm load, 80 amps flow and 38,400 watts are dissipated. These four values (voltage, current, resistance, and power) are the foundation of every electrical calculation on this site.

480V and 80A
6 Ω   |   38,400 W
Voltage (V)480 V
Current (I)80 A
Resistance (R)6 Ω
Power (P)38,400 W
6
38,400

Formulas & Step-by-Step

Resistance

R = V ÷ I

480 ÷ 80 = 6 Ω

Power

P = V × I

480 × 80 = 38,400 W

Verification (alternative formulas)

P = I² × R

80² × 6 = 6,400 × 6 = 38,400 W

P = V² ÷ R

480² ÷ 6 = 230,400 ÷ 6 = 38,400 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 38,400 watts of power as heat. In a resistor, all electrical energy at steady state converts to thermal energy. The actual component power rating needs headroom above this steady-state figure, but the specific derating depends on resistor type (carbon-comp, metal-film, wirewound each behave differently), ambient temperature, airflow or heat-sinking, and whether the load is continuous or pulsed. Check the resistor datasheet for the manufacturer-specific derating curve rather than applying a blanket margin.

If You Change the Resistance

ResistanceCurrentPowerChange
3 Ω160 A76,800 WLower R = more current
4.5 Ω106.67 A51,200 WLower R = more current
6 Ω80 A38,400 WCurrent
9 Ω53.33 A25,600 WHigher R = less current
12 Ω40 A19,200 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 6Ω, here is how current and power scale with source voltage. This is a reference table, not a set of separate circuit scenarios: each row is the same resistor under a different applied voltage.

VoltageCurrent (at 6Ω)Power
5V0.8333 A4.17 W
12V2 A24 W
24V4 A96 W
48V8 A384 W
120V20 A2,400 W
208V34.67 A7,210.67 W
230V38.33 A8,816.67 W
240V40 A9,600 W
480V80 A38,400 W

Frequently Asked Questions

R = V ÷ I = 480 ÷ 80 = 6 ohms.
All 38,400W is dissipated as heat in a pure resistor at steady state. The component power rating needs headroom above this steady-state figure, but the specific derating depends on resistor type (carbon-comp, metal-film, wirewound each behave differently), ambient temperature, airflow or heat-sinking, and whether the load is continuous or pulsed. Check the resistor datasheet for the manufacturer-specific derating curve.
For purely resistive loads, yes. For reactive loads, use impedance (Z) instead of resistance (R). Z includes both resistance and reactance, and the V/I phase shift shows up in power factor.
Wire sizing for a given current is not an Ohm's Law calculation. It depends on run length, source voltage, voltage-drop target, conductor material, insulation and termination temperature rating, cable type, and ambient and bundling conditions. The dedicated wire-size calculator takes those variables as input.
V=IR, V=P/I, V=√(PR) | I=V/R, I=P/V, I=√(P/R) | R=V/I, R=V²/P, R=P/I² | P=VI, P=I²R, P=V²/R.
This calculator provides estimates for reference purposes only. Always consult a licensed electrician and verify compliance with the National Electrical Code (NEC) and local electrical codes before performing any electrical work.