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Ohm's law calculator

Any two of volts, amps, ohms and watts, and the other two worked out.

7 characters
Updates as you type
Voltage12 V
Current2 A
Resistance6 Ω
Power24 W

Show the steps
  1. Ohm's law is V = I × R. Power is P = V × I. Any two of the four give the other two.
  2. From the two given: R = V ÷ I and P = V × I.
  3. V = 12 V, I = 2 A, R = 6 Ω, P = 24 W.

Using the calculator

Type any two values with their units, like `12V, 2A`, `9V, 470R`, `20mA, 4.7k` or `60W, 230V`. The other two come back, with the formula used. V is volts, A amps, Ω (or R, or ohms) resistance, and W watts. Prefixes work too: mA, kΩ, MΩ, mW.

Any pair works. Two of the same kind, like two voltages, doesn't, because there's nothing to work out from it.

The formulas

Ohm's law is V = I × R: the voltage across a resistance is the current times the resistance. Rearranged, I = V ÷ R and R = V ÷ I.

Power brings in the fourth. P = V × I, and substituting Ohm's law gives P = I² × R and P = V² ÷ R. With any two of the four you can reach the others in one or two steps, which is what the working shows. 12 V across 6 Ω draws 2 A and dissipates 24 W.

Coldly received

Georg Ohm published the law in 1827, in Die galvanische Kette, mathematisch bearbeitet, The Galvanic Circuit Investigated Mathematically. It was coldly received, and Ohm found so little support from the college where he taught that he resigned. Fourteen years later, in 1841, the Royal Society awarded him its Copley Medal, and in 1881 his name became the unit of resistance.

Questions

What is Ohm's law?

V = I × R. The voltage across a resistor equals the current through it times its resistance.

How many amps is 60 watts at 230 volts?

About 0.26 A. Current is power divided by voltage.

Does Ohm's law work for everything?

For resistors, near enough. LEDs, diodes and many other parts don't follow it, which is why an LED needs a resistor in series. The LED resistor calculator works that out.

How do I type ohms?

Ω, R, or the word ohms all work, so 470R, 470Ω and 470 ohms are the same.

Sources

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