How this calculator works
- Step 1ResistanceR = V ÷ IFrom voltage and current.
- Step 2CurrentI = V ÷ RFrom voltage and resistance.
- Step 3VoltageV = I × RFrom current and resistance.
- Step 4PowerP = V × IWatts used by the component.
Ohm’s law links voltage, current and resistance: the current through a resistor is the voltage across it divided by its resistance. Knowing any two gives the third, and their product gives the power.
Worked example: a car headlight
- Ohm's law
R = V ÷ I
- Resistance12.0 V ÷ 2.50 A4.8 Ω
- Power12.0 V × 2.50 A30 W
This is OpenStax College Physics Example 20.4, which gives 4.80 Ω.
Small and large currents
- LED resistor9.4 V20 mA through 470 Ω, using 0.188 W.
- 1 kΩ on 230 V0.23 ADissipating 52.9 W, so it needs a suitably rated resistor.
Read the result
The headline is the quantity you chose to find; the table shows all four values.
Assumptions and limits
- Ohmic componentsResistance stays the same as current changes.
- DC or resistive ACFor AC, use RMS values with purely resistive loads.
- Not safety adviceMains wiring should be done by a qualified electrician.
LEDs, motors and lamps that heat up do not follow Ohm’s law exactly.
Related electrical tools
Ohm's law links voltage, current and resistance. Circuits and cables build on it.
To combine resistors, use the series and parallel resistor calculator. For loss along a cable, try the voltage drop calculator, and for capacitor timing, the RC time constant calculator.
Common mistakes
Mistake: Entering 20 mA as 20.
Instead: Use amperes: 20 mA is 0.02 A.
Mistake: Ignoring the power rating.
Instead: Check that a resistor can handle the watts shown.
Checking the method
Every golden case is rechecked with exact fractions using P = I²R and R = V²/P.
An independent script uses other forms of the same laws, and reproduces OpenStax’s headlight example.
Read how we test our calculators, or browse more everyday tools.