Ohm’s Law Calculator
12 V across 2 A gives 6 Ω resistance and 24 W power — enter any two known values below and the calculator solves the other two.
The formulas — the power wheel
These four quantities are linked by two independent laws: Ohm’s law (V = IR) and the definition of electrical power (P = IV). Substituting one into the other gives twelve rearrangements — the "power wheel" — but they all come from the same two equations. The calculator picks whichever pair of knowns you supply and solves the two unknowns algebraically.
Practical applications
Wire sizing: knowing current and acceptable voltage drop lets you calculate the maximum resistance the wire run can have, which sets the minimum wire gauge. Fuse selection: the expected current at the rated voltage determines the fuse rating. Heat dissipation: P = I²R gives the power lost as heat in a resistor or conductor — critical for PCB thermal design and power-supply efficiency calculations. LED circuits: choosing a current-limiting resistor for an LED is a direct application of V = IR, where V is the supply minus the LED’s forward voltage.