Physics
Basic

Ohm's Law

Voltage equals current times resistance.

Formula

V=IRV = IR

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Variables

VVoltage (V)
ICurrent (A)
RResistance (Ω)

Example

A 12 V battery across a 4 Ω resistor drives I = 12/4 = 3 A.

How it works

Ohm's Law links three quantities in a simple circuit: voltage pushes electric charge, current is the flow of charge, and resistance is how strongly the circuit opposes that flow. In many everyday materials at constant temperature, doubling the voltage produces about twice the current, while increasing resistance reduces the current, which is why the relation V = IR is so useful for linear resistive circuits.

When to use it

Use this when analyzing simple DC circuits or any circuit element that behaves like a resistor, such as checking current through a component or finding the voltage drop across it. It is especially helpful in electronics, lab work, and basic circuit troubleshooting.

Worked example, step by step

A resistor has a resistance of 8 Ω and a current of 2.5 A flows through it. Use Ohm's Law: V = IR Substitute the values: V = 2.5 × 8 Calculate: V = 20 Final answer: the voltage across the resistor is 20 V

Common mistakes to avoid

  • Using milliamps as amps without converting first
  • Rearranging the formula incorrectly when solving for I or R
  • Applying Ohm's Law to non-ohmic devices without checking whether the relationship is linear

Did You Know?

Georg Ohm was initially ridiculed for his law; today it's the first equation every electronics student learns.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026