Ohm's law
Enter any two of voltage, current, resistance and power and get the other two, with the working.
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Pick the colours you see on a resistor and get its value and tolerance, or type a value and see which colours to look for in the box. Works for 4-band and 5-band resistors.
Hold the resistor so the tolerance band (often gold or silver, set a little apart) is on the right, then pick the colours from left to right.
BrownBlackRedGold
Type the resistance you need (4.7k and 4k7 both work) and see the colours to look for in the box of resistors.
YellowVioletBrownGold
What it works out
A resistor is too small to print numbers on, so its value is written as coloured bands. The first two bands (three on a 5-band resistor) are digits, the next band is the multiplier, which says how many zeros follow (gold and silver mean ×0.1 and ×0.01), and the last band is the tolerance: how far the real value may be from the printed one.
The calculator reads the code both ways and draws the resistor so you can hold the real part next to the screen. It also tells you whether the value belongs to the standard E12 or E24 series, the ranges resistor kits are sold in, which is a quick way to catch a misread band.
Formula and worked example
The calculator uses exactly these formulas. Write them in your notebook and check one answer by hand: it is the surest way to remember them.
A yellow, violet, brown, gold resistor
Answer470 Ω ±5% (446.5 Ω to 493.5 Ω)
| Colour | Digit | Multiplier | Tolerance |
|---|---|---|---|
| Black | 0 | ×1 | – |
| Brown | 1 | ×10 | ±1% |
| Red | 2 | ×100 | ±2% |
| Orange | 3 | ×1k | – |
| Yellow | 4 | ×10k | – |
| Green | 5 | ×100k | ±0.5% |
| Blue | 6 | ×1M | ±0.25% |
| Violet | 7 | ×10M | ±0.1% |
| Grey | 8 | ×100M | – |
| White | 9 | ×1G | – |
| Gold | – | ×0.1 | ±5% |
| Silver | – | ×0.01 | ±10% |
| No band | – | – | ±20% |
In projects and exams
Read 4-band and 5-band resistors, or find the colours for any value, on a drawn resistor. Here is where it earns its place in a school year.
Kits and repair boxes mix values. Read each resistor before it goes on the breadboard, and confirm doubtful ones with a multimeter.
Experiments that plot voltage against current use a known resistor. Reading its code first lets you predict the answer before you measure it.
Pull-down resistors, LED resistors and sensor dividers each need a particular value; the bands are how you find the right one in the kit.
Examiners and exhibition judges often ask how you chose a part. Reading its colour code on the spot shows you understand your own circuit.
Check your work
These are the slips that cost marks in exams and burn out parts on the bench.
The tolerance band, often gold or silver, goes on the right and is usually set a little apart. Gold and silver are never the first band.
On a 4-band resistor the third band is the multiplier, not a third digit: brown, black, red is 1 kΩ, not 102 Ω.
Brown, red and orange, or blue, violet and grey, look alike under yellow light. Check in daylight, or measure.
4.7 kΩ is 4,700 Ω. Writing 4.7 Ω in a calculation makes the current a thousand times too big.
Questions
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Ask on WhatsAppAs the last band they are the tolerance: gold is ±5% and silver is ±10%. In the multiplier position, gold means ×0.1 and silver means ×0.01, which is how values below 10 Ω are written.
Start from the end away from the tolerance band. The tolerance band is often gold or silver, slightly separated from the others, and gold or silver never comes first. If you are still unsure, read it both ways: usually only one way gives a standard value, and a multimeter settles it.
A 5-band resistor has three digit bands instead of two, so it can show values such as 4.99 kΩ. They are usually precision metal film resistors, often with a 1% (brown) tolerance band.
A zero-ohm link: a piece of wire in a resistor body, used as a jumper on circuit boards that are assembled by machines.
The tolerance allows it (a ±5% 1 kΩ part can read 950 to 1,050 Ω). Also measure the resistor out of the circuit, and do not hold both leads with your fingers, because your body adds a path in parallel for large values.
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