Current and power from voltage and resistance
- Input
- Voltage = 12 V, Resistance = 4 Ω
- Working
- I = V ÷ R = 12 ÷ 4 = 3 A. P = V × I = 12 × 3 = 36 W.
- Result
- Current = 3 A · Power = 36 W
Solve any DC circuit from two known values — enter any two of voltage, current, resistance and power and Ohm's law gives you the other two instantly. Runs entirely in your browser — your numbers never leave this device.
Ohm's law ties four quantities together with two equations: V = I × R says the voltage across a resistor is its current multiplied by its resistance, and P = V × I says the power it dissipates is voltage multiplied by current. Between them, any two known values decide the other two — a voltage and a resistance fix the current (V ÷ R) and then the power, a current and a power fix the voltage (P ÷ I) and then the resistance, and so on through all six pairings this calculator offers.
Pick the pair you know from the selector, enter both values, and all four quantities are shown together, so the solved pair can be checked against the pair you entered. Everything is worked at full precision and rounded only for display. The law describes resistive DC circuits — and, for AC, resistive loads at a power factor of 1 — which covers the bench, automotive and low-voltage work where it is used most.
V = I × R, I = V ÷ R, R = V ÷ I and P = V × I. Substituting the first into the last gives the two other power forms, P = I² × R and P = V² ÷ R — six useful rearrangements in total, and knowing any two of the four quantities lets you reach the other two through them.
For purely resistive AC loads — heaters, incandescent lamps — yes, using RMS voltage and current. For motors, transformers and other reactive loads the relationship involves impedance and power factor rather than resistance alone; the Watts to Amps Converter on this site handles the power-factor version of that calculation.
Because two values are what the maths needs and all it can honestly use. One value leaves the other three undetermined, and three or four values would usually contradict each other slightly through rounding — with exactly two, the solution is unique and exact.
Volts for voltage, amps for current, ohms for resistance and watts for power — the four SI units this calculator uses. Milliamps, kilohms and the like must be converted first (20 mA is 0.02 A); the Unit Converter handles those prefixes.
It can show the power it is dissipating: solve for P from your voltage and resistance (for example 12 V across 4 Ω dissipates 36 W) and compare it with the resistor's rated wattage. A standard small resistor is rated at 0.25 W — dissipating far more than the rating is why a part runs hot, discolours or fails.
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