What Is the Resistance and Power for 240V and 120A?

240 volts and 120 amps gives 2 ohms resistance and 28,800 watts power. Ohm's Law (V = IR) and the power equation (P = VI) connect all four electrical values. Knowing any two lets you calculate the other two instantly.

240V and 120A
2 Ω   |   28,800 W
Voltage (V)240 V
Current (I)120 A
Resistance (R)2 Ω
Power (P)28,800 W
2
28,800

Formulas & Step-by-Step

Resistance

R = V ÷ I

240 ÷ 120 = 2 Ω

Power

P = V × I

240 × 120 = 28,800 W

Verification (alternative formulas)

P = I² × R

120² × 2 = 14,400 × 2 = 28,800 W

P = V² ÷ R

240² ÷ 2 = 57,600 ÷ 2 = 28,800 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 28,800 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
1 Ω240 A57,600 WLower R = more current
1.5 Ω160 A38,400 WLower R = more current
2 Ω120 A28,800 WCurrent
3 Ω80 A19,200 WHigher R = less current
4 Ω60 A14,400 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 2Ω, 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 2Ω)Power
5V2.5 A12.5 W
12V6 A72 W
24V12 A288 W
48V24 A1,152 W
120V60 A7,200 W
208V104 A21,632 W
230V115 A26,450 W
240V120 A28,800 W
480V240 A115,200 W

Frequently Asked Questions

R = V ÷ I = 240 ÷ 120 = 2 ohms.
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.
Ohm's Law (V = IR) and the power equation (P = VI) connect all four. Given any two, you can calculate the other two.
All 28,800W 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.
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.