Tolerance: is your 1 kΩ really 1 kΩ?

// WHAT YOU WILL LEARN

The 4th band gives the allowed error: gold ±5 % of 1000 Ω = ±50 Ω (950–1050 Ω), brown ±1 %; why it rarely matters for an LED.

// LESSON NOTES

Your multimeter says 987 Ω on a "1 kΩ" resistor. Is it broken? 🤔

1️⃣ READ THE 4TH BAND: gold means ±5 %. 5 % of 1000 Ω = 50 Ω, so a good resistor can be anywhere from 950 Ω to 1050 Ω. 987 Ω is inside → NOT broken.

2️⃣ A REAL BATCH: measure 20 of them and every one lands somewhere inside that window. Need tighter? A brown 4th band means ±1 % (990 to 1010 Ω). Red = ±2 %, gold = ±5 %, silver = ±10 %.

3️⃣ DOES IT MATTER? An LED on 5 V with a 220 Ω ±5 % resistor (209 to 231 Ω): 3 V ÷ 209 Ω ≈ 14.4 mA, 3 V ÷ 231 Ω ≈ 13.0 mA. Same brightness to your eye.

📌 Tolerance = how far from the printed value a part is allowed to be.

Read the voiceover (transcript)
  1. Your one k reads nine eighty-seven. Broken?
  2. No! Gold means plus or minus five percent: anywhere from nine fifty to ten fifty.
  3. Measure twenty: all inside the window! Want tighter? A brown band is plus or minus one percent.
  4. For an LED, it barely matters: thirteen to fourteen milliamps!
  5. Five percent of a thousand: fifty ohms!
  6. Next: the sine wave! Follow for lesson twelve!

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