What Is the Resistance and Power for 24V and 9.98A?

24 volts and 9.98 amps gives 2.4 ohms resistance and 239.52 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.

24V and 9.98A
2.4 Ω   |   239.52 W
Voltage (V)24 V
Current (I)9.98 A
Resistance (R)2.4 Ω
Power (P)239.52 W
2.4
239.52

Formulas & Step-by-Step

Resistance

R = V ÷ I

24 ÷ 9.98 = 2.4 Ω

Power

P = V × I

24 × 9.98 = 239.52 W

Verification (alternative formulas)

P = I² × R

9.98² × 2.4 = 99.6 × 2.4 = 239.52 W

P = V² ÷ R

24² ÷ 2.4 = 576 ÷ 2.4 = 239.52 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 239.52 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
1.2 Ω19.96 A479.04 WLower R = more current
1.8 Ω13.31 A319.36 WLower R = more current
2.4 Ω9.98 A239.52 WCurrent
3.61 Ω6.65 A159.68 WHigher R = less current
4.81 Ω4.99 A119.76 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 2.4Ω, 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 2.4Ω)Power
5V2.08 A10.4 W
12V4.99 A59.88 W
24V9.98 A239.52 W
48V19.96 A958.08 W
120V49.9 A5,988 W
208V86.49 A17,990.61 W
230V95.64 A21,997.58 W
240V99.8 A23,952 W
480V199.6 A95,808 W

Frequently Asked Questions

R = V ÷ I = 24 ÷ 9.98 = 2.4 ohms.
All 239.52W 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.
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.
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.
P = V × I = 24 × 9.98 = 239.52 watts.
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.