Thinking Like an Engineer

Tolerance & Precision

12 min · 2 worked examples · 3 questionsFree

Nothing is ever exactly its stated value. Designing for that is the job.

After this lesson you can

  • Turn a percentage tolerance into a real range
  • Tell accuracy from precision
  • Design so that tolerance stops mattering

Every value is a range

A resistor marked 220 Ω is not 220 Ω. It is somewhere near 220 Ω, and the tolerance tells you how near. At 5% tolerance it lies between 209 Ω and 231 Ω. At 1% it lies between 217.8 Ω and 222.2 Ω.

This is not a defect. Manufacturing to tighter tolerance costs more, so components are made to the loosest tolerance that still works, and the tolerance is stated honestly so you can design around it. Assuming a component is exactly its nominal value is the mistake.

In the full lesson

  1. Every value is a range
  2. Accuracy is not precision
  3. Tolerances stack
  4. Design so tolerance does not matter

Free with an account. Read it, work the examples, answer the questions, then build it in the simulator.