What Is the Resistance and Power for 120V and 8A?

With 120 volts across a 15-ohm load, 8 amps flow and 960 watts are dissipated. These four values (voltage, current, resistance, and power) are the foundation of every electrical calculation on this site.

120V and 8A
15 Ω   |   960 W
Voltage (V)120 V
Current (I)8 A
Resistance (R)15 Ω
Power (P)960 W
15
960

Formulas & Step-by-Step

Resistance

R = V ÷ I

120 ÷ 8 = 15 Ω

Power

P = V × I

120 × 8 = 960 W

Verification (alternative formulas)

P = I² × R

8² × 15 = 64 × 15 = 960 W

P = V² ÷ R

120² ÷ 15 = 14,400 ÷ 15 = 960 W

Circuit Analysis

Heat Dissipation

This circuit dissipates 960 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
7.5 Ω16 A1,920 WLower R = more current
11.25 Ω10.67 A1,280 WLower R = more current
15 Ω8 A960 WCurrent
22.5 Ω5.33 A640 WHigher R = less current
30 Ω4 A480 WHigher R = less current

Same Resistance at Different Voltages

Holding the resistance constant at 15Ω, 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 15Ω)Power
5V0.3333 A1.67 W
12V0.8 A9.6 W
24V1.6 A38.4 W
48V3.2 A153.6 W
120V8 A960 W
208V13.87 A2,884.27 W
230V15.33 A3,526.67 W
240V16 A3,840 W
480V32 A15,360 W

Frequently Asked Questions

R = V ÷ I = 120 ÷ 8 = 15 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.
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.
P = V × I = 120 × 8 = 960 watts.
At the same 120V, current doubles to 16A and power quadruples to 1,920W. Lower resistance means more current, which means more power dissipated as heat.
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.