Ohm’s law and power (DC, 1- and 3-phase)

In DC mode enter any two values and the tool works out the rest. The AC modes give active, reactive and apparent power and the load current.

DC: two of U, I, R, P
V
A
Ω
W

Result

Resistance R48Ω
Power P12W
Voltage U
24 V
Current I
500 mA

R = U / I

P = U · I

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Calculator by Kalkio · kalkio.app

Ohm’s law and power formulas

Ohm’s law links voltage, current and resistance: U = I · R. Power is P = U · I. Together they mean that any two of the four quantities give you the other two.

Three-phase power

In a balanced three-phase system, active power is P = √3 · U · I · cos φ, where U is the line-to-line voltage (400 V in Europe) and I is the current in one phase. Apparent power is S = √3 · U · I and reactive power is Q = √3 · U · I · sin φ.

Example: a 7.5 kW motor at 400 V with cos φ = 0.85 and 90% efficiency draws about 14.2 A.

Common questions

Where does √3 come from?

Line-to-line voltage is √3 times the phase voltage (400 V ≈ √3 · 230 V). The formula with √3 and line voltage equals three times the power of one phase.

What cos φ should I use if I don’t know it?

Usually 0.8–0.9 for induction motors and 1 for heaters. The exact value is on the nameplate.