Power Dissipation Calculator

Enter any two of voltage, current, and resistance to get the power dissipated as heat (P = VI = I²R = V²/R), plus a power-rating safety check.

Quick Facts

Power formula
P = V × I = I²R = V²/R
All three forms come from combining P = VI with Ohm's Law, V = IR.
Ohm's Law
V = I × R
Needed to solve for whichever quantity you leave blank.
Derating rule of thumb
Keep P ≤ 50-70% of rating
Leaves thermal headroom so the component runs cooler and lasts longer.

Your Results

Calculated
Power Dissipated
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P = V × I, in watts
Solved Quantity
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The value computed from Ohm's Law
Energy per Hour
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Power × 1 hour, in watt-hours
Rating Margin
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Dissipation vs. component power rating

Ready

Enter any two of voltage, current, and resistance, then press Calculate.

How to Calculate Power Dissipation

Whenever electric current flows through a resistive component, some of that electrical energy converts into heat. The rate at which this happens — the power dissipation — is measured in watts and is what determines how hot a resistor, wire, or other component gets, and whether it needs a heat sink or a higher wattage rating. This calculator finds power dissipation from any two of voltage, current, and resistance, and checks the result against a component's power rating.

The power dissipation formulas (Joule's Law)

The base relationship is P = V × I, where P is power in watts, V is voltage in volts, and I is current in amps. Combining this with Ohm's Law (V = I × R) lets you substitute out either variable to get two more equivalent forms: P = I²R (useful when you know current and resistance) and P = V²/R (useful when you know voltage and resistance). All three formulas describe the same physical quantity — pick whichever matches the values you actually measured.

Using the calculator: solving for a missing quantity

Enter any two of Voltage, Current, and Resistance and leave the third field blank — the calculator applies Ohm's Law to solve for the missing value, then computes power from the complete set. If you enter all three, it checks that V = I × R holds (within rounding) and flags a mismatch if your numbers are inconsistent. Optionally enter the component's printed power rating to see what percentage of that rating your dissipation represents — a useful check before running a resistor continuously near its limit.

Frequently Asked Questions

What is the formula for power dissipation?
Power dissipation in a resistive component is P = V × I, where V is the voltage across it and I is the current through it. Using Ohm's Law (V = IR), this can be rewritten as P = I²R or P = V²/R, so any two of voltage, current, and resistance are enough to find the power.
How do I find power dissipation from current and resistance only?
Use P = I²R. For example, 0.5 A flowing through a 100 Ω resistor dissipates 0.5² × 100 = 25 W as heat.
How do I find power dissipation from voltage and resistance only?
Use P = V²/R. For example, 12 V across a 6 Ω resistor dissipates 12²/6 = 24 W.
Why does a component's power rating matter?
A resistor's printed wattage (e.g., 1/4 W, 1 W, 5 W) is the maximum heat it can safely shed before overheating, drifting in value, or failing. Good design practice keeps continuous dissipation at roughly 50-70% of the rated power to leave a safety margin.