Ohm's Law Calculator

Enter any two of voltage, current, resistance or power — the calculator solves for the other two using Ohm's Law (V=IR) and the power equation (P=VI).

+ I n/a V n/a R n/a P n/a
V
A
Ω
W

Enter any two values to solve for the other two.

Formula & relationships
V = I × R    (Ohm's Law)
P = V × I    (Power Law)
P = I² × R   (derived from both)
P = V² / R   (derived from both)

Given any two variables, the other two can be determined from these four relationships.

1Worked example: a 12V supply across a 4Ω resistor. V=12, R=4 → I = 12/4 = 3 A, P = 12 × 3 = 36 W

Reference: Georg Simon Ohm, Die galvanische Kette, mathematisch bearbeitet (1827). SI units: voltage in volts (V), current in amperes (A), resistance in ohms (Ω), power in watts (W).
Common questions

What is Ohm's Law?

Ohm's Law states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance: V = I × R. It is the foundational relationship in electrical circuit analysis.

Why are there four variables if Ohm's Law only has three (V, I, R)?

Ohm's Law (V=IR) relates voltage, current and resistance. The power equation (P=VI) adds a fourth variable. Together, they form a system where knowing any two values determines the other two — which is what this calculator does.

Does Ohm's Law apply to all components?

Ohm's Law applies to ohmic (linear) resistors. Non-linear components like diodes, transistors and LEDs do not obey Ohm's Law across their full operating range — their resistance changes with voltage/current.