Question:

Resistance of a carbon resistor determined from colour codes is (22000±5%)Ω. The colour of third band must be:

Updated On: May 14, 2025
  • Yellow

  • Red

  • Green

  • Orange

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The Correct Option is D

Approach Solution - 1

Determining the resistance value from the color bands of a carbon resistor follows the standard color code chart. A resistor typically has four bands, where: 

  • The first two bands represent the first two significant digits of the resistance value.
  • The third band indicates the multiplier (power of 10).
  • The fourth band denotes the tolerance.

In this problem, the resistance value is given as 22000 Ω with a tolerance of ±5%.

Let's decode how this value is represented by the color bands:

  1. The first digit '2' corresponds to the color Red.
  2. The second digit '2' also corresponds to the color Red.
  3. The resistance value is 22000 Ω, which is expressed as 22 × 10³. Thus, the third band, representing the multiplier, should correspond to 10³.

Based on the color code chart:

ColorMultiplier
Black10⁰
Brown10¹
Red10²
Orange10³
Yellow10⁴
Green10⁵

The color Orange corresponds to the multiplier 10³.

Thus, the color of the third band must be Orange to denote a 22000 Ω resistor with an indicated tolerance of ±5%.

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Approach Solution -2

The correct option is (D): Orange
R=[22\(\times\)103\(\pm\)5%]\(\Omega\)
According to the color code 
Third band \(\rightarrow\) Orange
(color code for digit 3 is orange).

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