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Ohm's Law Calculator

Find voltage, current or resistance from the other two with Ohm's law, plus the power used.

Find

Ohm’s law connects the three basic quantities of a circuit: voltage, current and resistance. Know any two and this calculator finds the third, along with the power the part uses, written with a sensible unit (2 mA, 4.7 kΩ).

How to Use It

  1. Under Find, pick the value you don’t know: voltage, current or resistance.
  2. Enter the other two in base units: volts (V), amperes (A) and ohms (Ω).
  3. Press Calculate. The answer shows with its unit, plus the power and the full equation with your numbers.

Converting from prefixed units: 20 mA is 0.02 A, 4.7 kΩ is 4,700 Ω, and 1.5 kV is 1,500 V.

How It Works

Ohm’s law says the voltage across a resistor equals the current through it times its resistance. Rearranged, it gives each of the three:

V=I⋅RI=VRR=VI\begin{aligned} \vA{V} &= \vB{I} \cdot \vC{R} \\[0.6em] \vB{I} &= \frac{\vA{V}}{\vC{R}} \\[0.6em] \vC{R} &= \frac{\vA{V}}{\vB{I}} \end{aligned}

The power, in watts, is how fast the part turns electrical energy into heat or light:

P=V⋅IP = \vA{V} \cdot \vB{I}

Worked Example

A 6 Ω resistor carries a current of 2 A. Its voltage is V=2 A⋅6 Ω=12 V\vA{V} = 2\,\text{A} \cdot 6\,\Omega = 12\,\text{V}, and it uses P=12 V⋅2 A=24 WP = 12\,\text{V} \cdot 2\,\text{A} = 24\,\text{W} of power.

Going the other way: an LED circuit runs from a 5 V supply through a 250 Ω resistor. The current is I=5 V÷250 Ω=0.02 A\vB{I} = 5\,\text{V} \div 250\,\Omega = 0.02\,\text{A}, which the calculator shows as 20 mA.

Tips and Common Mistakes

  • Convert prefixes first. Entering 20 for a 20 mA current is 1,000 times too much. Divide milli- values by 1,000; multiply kilo- values by 1,000.
  • Check the power rating. A resistor that has to handle more watts than it’s rated for (often 0.25 W for small ones) will overheat.
  • It’s for resistive parts. Ohm’s law holds for resistors and wires. LEDs, diodes and most real loads aren’t “ohmic”: their resistance changes with the current.
  • Use the voltage across the part, not the supply voltage, when other parts share the circuit.
  • Resistance can’t be zero when you’re solving for current, and current can’t be zero when you’re solving for resistance: the math divides by it.

Frequently Asked Questions

What is Ohm's law?

Ohm's law says voltage equals current times resistance (V = I × R). Knowing any two of them lets you find the third.

How is the power calculated?

Power in watts is voltage times current (P = V × I). The calculator shows it with every answer.

How do I enter milliamps or kilohms?

Convert to base units first: divide milliamps by 1,000 to get amps (20 mA = 0.02 A) and multiply kilohms by 1,000 to get ohms (4.7 kΩ = 4,700 Ω). The answer comes back with a readable prefix.

Does Ohm's law work for LEDs?

Not for the LED itself: its resistance changes with the current. It does work for the resistor in series with an LED, using the voltage left over after the LED's own voltage drop.

Does it work for AC circuits?

For simple resistive AC loads, yes, using RMS voltage and current. Circuits with capacitors or inductors need impedance instead of plain resistance.

Why is my measured resistance different from the calculation?

Real resistors have a tolerance (often ±5%) and change a little with temperature, and meters and wires add small errors. A small difference is normal.

Sources

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