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Difficulty: MediumResistors and Potentiometers

Standard four-band carbon composition and film resistors use color-coded bands to indicate their nominal resistance values and tolerances. Match each four-band resistor color code sequence on the left to its corresponding nominal resistance value on the right.

  • Orange, Orange, Brown, Gold330 Ω±5%330\ \Omega \pm 5\%
  • Brown, Black, Red, Gold1.0 kΩ±5%1.0\text{ k}\Omega \pm 5\%
  • Yellow, Violet, Orange, Gold47 kΩ±5%47\text{ k}\Omega \pm 5\%
  • Green, Blue, Yellow, Gold560 kΩ±5%560\text{ k}\Omega \pm 5\%

Answer

Orange, Orange, Brown, Gold pairs with 330 Ω±5%330\ \Omega \pm 5\%; Brown, Black, Red, Gold pairs with 1.0 kΩ±5%1.0\text{ k}\Omega \pm 5\%; Yellow, Violet, Orange, Gold pairs with 47 kΩ±5%47\text{ k}\Omega \pm 5\%; and Green, Blue, Yellow, Gold pairs with 560 kΩ±5%560\text{ k}\Omega \pm 5\%.
Each resistor color code sequence maps to its nominal value by combining the first two color values as base digits and multiplying by ten raised to the value of the third color: Orange-Orange-Brown gives 33×101=330 Ω33 \times 10^1 = 330\ \Omega; Brown-Black-Red gives 10×102=1.0 kΩ10 \times 10^2 = 1.0\text{ k}\Omega; Yellow-Violet-Orange gives 47×103=47 kΩ47 \times 10^3 = 47\text{ k}\Omega; and Green-Blue-Yellow gives 56×104=560 kΩ56 \times 10^4 = 560\text{ k}\Omega. All fourth bands are Gold, representing a ±5%\pm 5\% tolerance.

Step-by-Step Solution

1
Decode the significant digits for each color sequence using the standard EIA color code chart.
Orange-Orange is 3333, Brown-Black is 1010, Yellow-Violet is 4747, and Green-Blue is 5656.
In a standard four-band resistor, the first two bands always represent the first and second significant digits.
2
Determine the power-of-ten multiplier from the third band and apply metric prefixes.
Brown multiplier is 10110^1 (33×10=330 Ω33 \times 10 = 330\ \Omega); Red multiplier is 10210^2 (10×100=1.0 kΩ10 \times 100 = 1.0\text{ k}\Omega); Orange multiplier is 10310^3 (47×1,000=47 kΩ47 \times 1,000 = 47\text{ k}\Omega); Yellow multiplier is 10410^4 (56×10,000=560 kΩ56 \times 10,000 = 560\text{ k}\Omega).
The third color band represents the number of trailing zeros (the multiplier 10n10^n).
3
Identify the tolerance rating from the fourth band.
All four sequences end in Gold, which corresponds to ±5%\pm 5\%.
Gold in the fourth position designates a standard ±5%\pm 5\% manufacturing tolerance.

Key Concept

Four-band resistor color code decoding and metric unit conversion
Estimated Time:1m 0s
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Topics

Resistors and Potentiometers

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