Resistor Power Dissipation
Every resistor converts electrical energy to heat. The power dissipated must stay within the resistor’s power rating, ideally below 50% for long-term reliability. Exceeding the rating causes overheating, resistance drift, and eventual failure.
I — Current through the resistor. Power scales with I².
V — Voltage across the resistor. Power scales with V².
P (heat) — Power dissipated as heat. Must stay within the resistor’s power rating.
Derating — Run at ≤50% of rated power for long life. 50–75% is acceptable. Above 75% the resistor runs hot.
Resistor Power Dissipation Calculator
Every resistor converts electrical energy into heat. The power dissipated must stay within the resistor’s power rating — and ideally well below it — or the resistor overheats, drifts in value, and eventually fails. This calculator computes the power from any two of resistance, voltage, and current, then checks it against the rated power with a colour-coded safety assessment.
The Three Formulas
P = I² × R — from current and resistance
P = V × I — from voltage and current
Ploss = all dissipated as heat
These are the power forms of Ohm’s Law. Enter any two known values and the calculator derives the third plus the power. The key insight: power scales with the square of voltage or current. Doubling the voltage across a resistor quadruples the power. Doubling the current through it also quadruples the power.
The 50% Derating Rule
≤50% — Safe. Long life, low temperature rise.
50–75% — Acceptable for most applications. Ensure adequate airflow.
75–100% — Near limit. Resistor runs hot. Consider a higher rating.
>100% — Exceeds rating. Will overheat and fail.
LED Current-Limiting Resistor (220Ω / 3V)
I = V / R = 3 / 220 = 13.6 mA
Rating: 0.25 W (1/4 W standard)
Utilisation: 40.9 mW / 250 mW = 16.4% — safe
40.9 mW in a 1/4 W resistor — well within limits at 16% utilisation. A standard 0805 SMD (1/8 W = 125 mW) would also work. For the full LED resistor calculation including forward voltage drop, see the LED Resistor Calculator.
Current Sense Resistor (0.1Ω / 2A)
V = I × R = 2 × 0.1 = 0.2 V
Rating: 1 W
Utilisation: 0.4 W / 1 W = 40% — safe
0.4 W needs a 1 W rated resistor for proper derating. A standard 1/4 W resistor would be at 160% — instant failure territory. Current sense resistors must be sized for the peak current, not just the average. For dedicated current sensing design, see the Current Sense Resistor Calculator.
High-Voltage Bleeder (10kΩ / 400V)
I = V / R = 400 / 10000 = 40 mA
Rating: needs a 25–50 W wirewound resistor
16 watts — this is a serious heater. High-voltage bleeder resistors in power supplies routinely dissipate tens of watts. They need wirewound or ceramic power resistors mounted with adequate ventilation. For dedicated bleeder design with discharge time calculations, see the Bleeder Resistor Calculator.
Voltage Divider (4.7kΩ / 5V)
I = V / R = 5 / 4700 = 1.06 mA
Rating: 0.125 W (1/8 W)
Utilisation: 5.32 mW / 125 mW = 4.3% — negligible
5.3 mW in a 1/8 W resistor — 4.3% utilisation. Voltage dividers at low voltages rarely have power problems. The concern shifts to high-voltage dividers where even large resistances dissipate significant power. For the divider ratio calculation, see the Voltage Divider Calculator.
Standard Power Ratings
| Package / Type | Rating | Typical Use |
|---|---|---|
| 0201 SMD | 1/20 W (50 mW) | Ultra-compact, low-power logic |
| 0402 SMD | 1/16 W (63 mW) | Dense PCB layouts |
| 0603 SMD | 1/10 W (100 mW) | General purpose SMD |
| 0805 SMD | 1/8 W (125 mW) | Standard SMD |
| 1206 SMD | 1/4 W (250 mW) | Higher power SMD |
| 2512 SMD | 1 W | Power SMD, current sense |
| 1/4 W axial | 250 mW | Standard through-hole |
| 1/2 W axial | 500 mW | Medium power through-hole |
| 1–5 W | 1–5 W | Power resistors, metal oxide |
| Wirewound | 5–100+ W | High power, braking, bleeder |
Temperature and Derating
A resistor’s power rating is specified at a reference temperature, typically 70°C. Above that temperature, the maximum allowed power decreases linearly to zero at the maximum operating temperature (usually 155°C for film resistors, 275°C for wirewound). In a 70°C ambient, a 1/4 W resistor is still rated at full power. At 100°C ambient, it may be derated to only 60% of its rating.
The calculator’s 50% derating rule accounts for this — if you are already at 50% in a cool environment, you have margin for higher ambient temperatures without recalculating. For dedicated thermal management, see the Heat Sink Calculator.
Frequently Asked Questions
Last updated: March 2026