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Physics High school

How do you calculate resistance using Ohm's law?

Written and reviewed by Studoli tutors · Updated

Short answer

Ohm's law links voltage, current and resistance: V = IR, where V is the potential difference in volts (V), I is the current in amps (A) and R is the resistance in ohms (Ω). To find resistance, divide the voltage by the current: R = V ÷ I.

Step by step

  1. Identify the potential difference across the component and the current through it.
  2. Convert units: milliamps to amps (divide by 1000), kilovolts to volts.
  3. Use R = V ÷ I.
  4. Give the answer in ohms (Ω).

Worked example

A lamp has 6 V across it and a current of 250 mA. Find its resistance.

  • I = 250 mA = 0.25 A
  • R = V ÷ I = 6 ÷ 0.25
  • R = 24 Ω

Common mistakes

  • Forgetting to convert milliamps to amps, which makes the answer 1000 times too small.
  • Rearranging the formula incorrectly. A formula triangle with V on top helps.
  • Assuming every component obeys Ohm's law. A filament lamp's resistance rises as it heats up.

Useful for:GCSEIGCSEWAECMatric

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