Question

Difficulty: EasyResistors and Potentiometers

A technician tests a four-band carbon resistor marked with the color sequence Green, Blue, Red, and Gold from left to right. What is the rated resistance and tolerance of this resistor?

  1. A
    562 Ω±5%562\ \Omega \pm 5\%
  2. B
    5.6 kΩ±10%5.6\text{ k}\Omega \pm 10\%
  3. 5.6 kΩ±5%5.6\text{ k}\Omega \pm 5\%Answer
  4. D
    560 Ω±5%560\ \Omega \pm 5\%

Answer

5.6 kΩ±5%5.6\text{ k}\Omega \pm 5\% (5,600 Ω±5%5,600\ \Omega \pm 5\%)
According to the standard EIA four-band color code, Green represents the digit 5, Blue represents the digit 6, Red indicates a multiplier of 10210^2 (100100), and Gold represents a tolerance of ±5%\pm 5\%. Combining these values yields 56×100=5,600 Ω56 \times 100 = 5,600\ \Omega (5.6 kΩ5.6\text{ k}\Omega) with a tolerance of ±5%\pm 5\%.

Step-by-Step Solution

1
Determine the first and second significant digits from the first two color bands.
Green corresponds to 5 and Blue corresponds to 6, giving the significant digits 56.
In standard four-band EIA color coding, the first two bands represent the first two significant figures.
2
Determine the multiplier from the third color band and calculate nominal resistance.
Red indicates a multiplier of 10210^2 (100100). Multiplying 56×100=5,600 Ω=5.6 kΩ56 \times 100 = 5,600\ \Omega = 5.6\text{ k}\Omega.
The third band determines the power of ten by which the significant digits are multiplied.
3
Determine the tolerance percentage from the fourth color band.
Gold indicates a tolerance of ±5%\pm 5\%.
The fourth band specifies the manufacturing tolerance rating of the component.

Key Concept

Four-band resistor color code decoding
Estimated Time:35s
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