What Is the Resistance and Power for 24V and 9.67A?

24 volts and 9.67 amps gives 2.48 ohms resistance and 232.08 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 9.67A
2.48 Ω   |   232.08 W
Voltage (V)24 V
Current (I)9.67 A
Resistance (R)2.48 Ω
Power (P)232.08 W
2.48
232.08

Formulas & Step-by-Step

Resistance

R = V ÷ I

24 ÷ 9.67 = 2.48 Ω

Power

P = V × I

24 × 9.67 = 232.08 W

Verification (alternative formulas)

P = I² × R

9.67² × 2.48 = 93.51 × 2.48 = 232.08 W

P = V² ÷ R

24² ÷ 2.48 = 576 ÷ 2.48 = 232.08 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 232.08 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
1.24 Ω19.34 A464.16 WLower R = more current
1.86 Ω12.89 A309.44 WLower R = more current
2.48 Ω9.67 A232.08 WCurrent
3.72 Ω6.45 A154.72 WHigher R = less current
4.96 Ω4.84 A116.04 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 2.48Ω, 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 2.48Ω)Power
5V2.01 A10.07 W
12V4.84 A58.02 W
24V9.67 A232.08 W
48V19.34 A928.32 W
120V48.35 A5,802 W
208V83.81 A17,431.79 W
230V92.67 A21,314.29 W
240V96.7 A23,208 W
480V193.4 A92,832 W

Frequently Asked Questions

R = V ÷ I = 24 ÷ 9.67 = 2.48 ohms.
All 232.08W 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.
P = V × I = 24 × 9.67 = 232.08 watts.
Ohm's Law (V = IR) and the power equation (P = VI) connect all four. Given any two, you can calculate the other two.
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.