What Is the Resistance and Power for 24V and 1,000A?

Using Ohm's Law: 24V at 1,000A means 0.024 ohms of resistance and 24,000 watts of power. This is useful for sizing resistors, understanding circuit behavior, and verifying that components can handle the power dissipation (24,000W in this case).

24V and 1,000A
0.024 Ω   |   24,000 W
Voltage (V)24 V
Current (I)1,000 A
Resistance (R)0.024 Ω
Power (P)24,000 W
0.024
24,000

Formulas & Step-by-Step

Resistance

R = V ÷ I

24 ÷ 1,000 = 0.024 Ω

Power

P = V × I

24 × 1,000 = 24,000 W

Verification (alternative formulas)

P = I² × R

1,000² × 0.024 = 1,000,000 × 0.024 = 24,000 W

P = V² ÷ R

24² ÷ 0.024 = 576 ÷ 0.024 = 24,000 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 24,000 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
0.012 Ω2,000 A48,000 WLower R = more current
0.018 Ω1,333.33 A32,000 WLower R = more current
0.024 Ω1,000 A24,000 WCurrent
0.036 Ω666.67 A16,000 WHigher R = less current
0.048 Ω500 A12,000 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 0.024Ω, 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 0.024Ω)Power
5V208.33 A1,041.67 W
12V500 A6,000 W
24V1,000 A24,000 W
48V2,000 A96,000 W
120V5,000 A600,000 W
208V8,666.67 A1,802,666.67 W
230V9,583.33 A2,204,166.67 W
240V10,000 A2,400,000 W
480V20,000 A9,600,000 W

Frequently Asked Questions

R = V ÷ I = 24 ÷ 1,000 = 0.024 ohms.
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.
Ohm's Law (V = IR) and the power equation (P = VI) connect all four. Given any two, you can calculate the other two.
P = V × I = 24 × 1,000 = 24,000 watts.
All 24,000W 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.
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.