V · I · R · P

Ohm’s Law Power Calculator

Calculate electrical power from voltage, current or resistance. Explore worked formulas, power curves, resistor loading, comparisons and energy use over time.

Try an example:

The three panels are independent and always visible. Enter two known magnitudes in a panel; all results and substitutions update as you type. Positive resistance is required. The V–I panel needs both values positive to derive a finite positive resistance.

P = V × I

Power

mW—
kW—
Voltage—
Current—
Resistance—

Formula and calculation

P = I²R

Power

mW—
kW—
Voltage—
Current—
Resistance—

Formula and calculation

P = V²/R

Power

mW—
kW—
Voltage—
Current—
Resistance—

Formula and calculation

Power versus voltage · Power versus current

Resistance stays fixed. Both P(V) = V²/R and P(I) = I²R are quadratic. Each slider explores a point on its curve without changing the calculation panels. Axis units and upper limits are shown explicitly.

Power versus voltage

Power versus current

Calculated operating pointExploration point

Resistor power design

Choose the reference calculation, nominal resistor rating and target utilization from above 0% to 100%. Limits follow from the selected power allowance and resistance; a negative margin means the target is exceeded. These are model limits, not certified safe operating limits.

Power at the selected target—
Remaining power allowance—
Voltage at the selected limit—
Current at the selected limit—
Rating utilization—

Formula and calculation

The percentage compares calculated dissipation with the rating you enter; it is not a safety approval. Check the component datasheet, ambient temperature, mounting conditions and derating. Operating below the label rating alone does not guarantee suitability.

Compare two power values

Both values are expressed in watts before comparison. Difference means B − A; percentage change is relative to A. If A is zero, a ratio and percentage change are undefined. No performance or efficiency ranking is inferred.

Configuration A

Configuration B

Configuration A—
Configuration B—
Difference B − A—
Ratio B / A—
Change relative to A—

Formula and calculation

Energy over time

At constant power, E = P × t. kW measures power; kWh measures energy. Enter nonnegative power and time. The line is a constant-power model, not a prediction of changing real-world consumption. When time is zero, energy is zero.

Wh—
kWh—
J—

Formula and calculation

Model and limitations

This is a steady-state DC model of a positive, constant, ohmic resistance. Values are nonnegative magnitudes. It does not model AC impedance, component temperature or installation safety.

\[V = I \times R\]
\[P = V \times I\]
\[P = I^{2} \times R\]
\[P = \frac{V^{2}}{R}\]

Calculation reference · NIST · Power · OpenStax