How this calculator works
Ohm's law ties together the four quantities of a simple DC circuit: voltage V (volts), current I (amps), resistance R (ohms), and power P (watts). Knowing any two fixes the other two. Fill in the two you know — in any of the four boxes — and this calculator picks the right formulas and shows its work, including the exact equations it used with your values substituted in.
The twelve formulas
| Find | From V and I | From V and R | From I and R | From P |
|---|---|---|---|---|
| Voltage V | — | — | V = I × R | V = P / I or V = √(P × R) |
| Current I | — | I = V / R | — | I = P / V or I = √(P / R) |
| Resistance R | R = V / I | — | — | R = V² / P or R = P / I² |
| Power P | P = V × I | P = V² / R | P = I² × R | — |
Worked examples
An LED circuit: a resistor drops 3 V while passing 20 mA. Its resistance is R = V / I = 3 / 0.02 = 150 Ω, and it dissipates P = V × I = 3 × 0.02 = 60 mW — comfortably inside a standard ¼ W resistor's rating.
A heater element: a 240 V heater rated 1500 W draws I = P / V = 1500 / 240 ≈ 6.25 A, so its hot resistance is R = V / I ≈ 38.4 Ω.
Frequently asked questions
- Which two values should I enter?
- Any two. The calculator watches which boxes you filled in and computes the other two. If you change a third box, the oldest entry is released and recalculated instead.
- What do the m, k, and M suffixes mean?
- Standard SI prefixes:
ppico (10⁻¹²),nnano,u/µmicro,mmilli,kkilo,Mmega,Ggiga. So20mis 0.02 and4.7kis 4700. Case matters only for m/M. - Does this work for AC circuits?
- For purely resistive AC loads, yes — use RMS voltage and current. For loads with inductance or capacitance you need impedance and power factor, which this calculator doesn't model.
- Why is my computed power so large?
- Check prefixes. A common slip is typing
20M(20 mega) when you meant20m(20 milli) — a factor of a billion. - What about choosing a resistor for an LED?
- That's a special case with its own steps — use the LED series resistor calculator, which also picks the nearest standard value and power rating.