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Free tool · Electronics

Ohm's Law Calculator

Enter any two of voltage, current and resistance to find the third. Updates live as you type, with the rearrangement of V = IR shown for whichever value you're solving for.

Solve for
Resistance220 Ω

The formula

Ohm's law relates the voltage across a resistor to the current flowing through it and its resistance:

V=IRV = IR

V in volts, I in amps, R in ohms — the three quantities Ohm's law ties together.

The same equation rearranges to solve for either of the other two quantities:

I=VRI = \dfrac{V}{R}

Divide both sides by R to isolate current.

R=VIR = \dfrac{V}{I}

Divide both sides by I to isolate resistance.

Worked example

A 220 Ω resistor carries a current of 20 mA. Find the voltage across it.

I=20 mA=0.02 AI = 20\ \text{mA} = 0.02\ \text{A}

Convert 20 mA to amps before substituting: 20 mA = 0.02 A.

V=IR=0.02×220=4.4 VV = IR = 0.02 \times 220 = 4.4\ \text{V}

Substitute I and R directly into V = IR.

Frequently asked questions

What is Ohm's law?

Ohm's law states that the voltage across a resistor equals the current through it multiplied by its resistance: V = IR. Rearranged, it also gives current (I = V/R) and resistance (R = V/I), which is what this calculator switches between.

Does Ohm's law work for every component?

It works exactly for an ideal resistor, which is why R stays constant however V or I changes. Many real components — diodes, LEDs, transistors — are non-linear, so their resistance isn't fixed and Ohm's law only gives an approximate, instantaneous relationship for them, not a fixed R you can look up.

What units does this calculator use?

Voltage in volts (V), current in your choice of µA, mA or A, and resistance in your choice of Ω, kΩ or MΩ. Pick the unit that matches the value on your component or datasheet — the calculator converts internally before computing the answer.

Why does my calculated resistance look unusually large or small?

Check the units on your current and voltage first — a decimal point or unit prefix error (typing 20 instead of 0.02 for 20 mA, for instance) is the most common cause of an answer that's out by a factor of 1000.

Does Ohm's law apply to AC circuits?

Yes, in the same form, but resistance is replaced by impedance (Z), which accounts for the phase shift capacitors and inductors introduce. This calculator only handles pure resistance (V = IR); for reactive AC components you need V = IZ with Z as a complex number.

How is Ohm's law different from Kirchhoff's laws?

Ohm's law describes the relationship between V, I and R for a single component. Kirchhoff's current and voltage laws describe how currents and voltages combine across a whole circuit. You typically need both together to solve anything beyond a single resistor.

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