Electrical
Updated Aug 19, 2026

Ohm's Law Calculator

Calculate voltage, current, resistance, and power given any two values. Complete Ohm's Law and power triangle solver.

Ohm's Law and the Power Equations

Ohm's Law relates the three fundamental quantities in any electrical circuit: voltage (V), current (I), and resistance (R). Combined with the power equation, these four variables - V, I, R, and P - are linked by 12 formulas that let you solve any circuit problem if you know any two of them.

The Core Formulas

V=I×R
P=V×I

From these two equations, any other relationship can be derived by substitution. For example, P = I2 * R comes from replacing V with I*R in the power formula.

All 12 Derived Formulas

To FindGiven V, IGiven V, RGiven I, RGiven P + one
Voltage--I x RP/I or √(P*R)
Current-V/R-P/V or √(P/R)
ResistanceV/I--V²/P or P/I²
PowerV x IV²/RI² x R-
Ohm's Law Pie Chart
Electricians memorize this with a pie chart: V at the top, with I, R underneath (V=IR). Cover the unknown quantity to see the formula. The same technique works for the power triangle (P, V, I).

Common Applications

  • LED current limiting - to safely run a 2 V LED at 20 mA from a 12 V source, you need (12 - 2) / 0.02 = 500 ohms.
  • Speaker load matching - a 4 ohm speaker at 20 V drives P = V2/R = 400/4 = 100 W.
  • Shunt resistor sizing - to measure 10 A by dropping 50 mV, R = V/I = 0.05/10 = 0.005 ohms.
  • Heating element design - a 1500 W heater on 120 V draws I = P/V = 12.5 A through a resistance of V2/P = 9.6 ohms.
AC Caveats
Ohm's Law in its pure form applies to DC and resistive AC loads. For reactive AC circuits (motors, transformers, capacitors), replace R with impedance Z, and remember that real power requires the power factor: P = V*I*PF. The basic V=IR still holds instantaneously but not for RMS calculations on reactive loads.

Frequently Asked Questions