Electrical Engineering Tool

Power Dissipation Calculator

Calculate electrical power dissipation from voltage, current, and resistance using the standard formulas P = VI, P = I²R, and P = V²/R. Enter any two known electrical values and this calculator determines the missing quantity and power in watts.

Power Dissipation Calculator

Enter any two known values. Leave the unknown value empty and the calculator will determine it.

V
A
Ω
R
Electrical power dissipated by the resistance
Main Power Formulas
P = V × I
P = I² × R
P = V² / R
Power Dissipation
— W
Voltage
—
volts
Current
—
amperes
Resistance
—
ohms

P = V × I

When voltage and current are known, multiply the voltage in volts by the current in amperes. The result is power in watts.

P = V × I

P = I² × R

If current and resistance are known, square the current and multiply it by resistance. This formula is especially useful for resistor power calculations.

P = I² × R

P = V² / R

When voltage and resistance are known, square the voltage and divide it by the resistance.

P = V² / R
How It Works

Calculate power from any two known values.

Electrical power is directly related to voltage, current, and resistance. Because these quantities are connected by Ohm's Law, power can be calculated in several equivalent ways.

1

Enter values

Enter any two known values among voltage, current, and resistance.

2

Solve

The calculator selects the appropriate power and Ohm's Law relationship.

3

Check power

The resulting electrical power is shown in watts together with all three values.

Worked Example

Example: a 24 Ω resistor

Suppose a resistor has 12 V across it. We can calculate its current and power.

Quantity Calculation Result
Voltage Given 12 V
Resistance Given 24 Ω
Current 12 / 24 0.5 A
Power 12 × 0.5 6 W

The same result can be obtained directly from P = V²/R: 12² / 24 = 6 W.

Engineering Applications

Where power dissipation calculations are useful

Resistor Selection

Determine how much power a resistor must safely dissipate in a circuit.

LED Circuits

Estimate power dissipated by current-limiting resistors used with LEDs.

Power Supplies

Calculate electrical load power and estimate component heating.

Thermal Design

Identify components that may convert significant electrical power into heat.

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Frequently Asked Questions

Power dissipation questions

What is electrical power dissipation?

Power dissipation is the rate at which electrical energy is converted into another form, commonly heat in a resistor. It is measured in watts (W).

What is the formula for power dissipation?

The main formulas are P = V × I, P = I² × R, and P = V² / R, where P is power in watts, V is voltage in volts, I is current in amperes, and R is resistance in ohms.

How do I calculate resistor power from voltage and resistance?

Use P = V² / R. Divide the square of the voltage across the resistor by its resistance in ohms.

How do I calculate resistor power from current and resistance?

Use P = I² × R. Square the current in amperes and multiply it by the resistance in ohms.

How many watts does a resistor need?

A resistor should normally have a power rating higher than its expected operating dissipation. Designers commonly include a safety margin rather than operating a resistor continuously at its maximum rating.

Can this calculator calculate voltage, current, and resistance too?

Yes. Enter any two of voltage, current, and resistance. The calculator determines the missing electrical quantity and the resulting power dissipation.