Question

In the figure a carbon resistor has bands of different colours on its body as mentioned in the figure. The value of the resistance is}

• A. $2.2\mathrm{k}\Omega$
• B. $3.3\mathrm{k}\Omega$
• C. $5.6\mathrm{k}\Omega$
• D. $9.1\mathrm{k}\Omega$

Hint:

Colour code: Black(0), Brown(1), Red(2), Orange(3), Yellow(4), Green(5), Blue(6), Violet(7), Grey(8), White(9).

Answer 1

The Correct Option is D

The value of a carbon resistor is determined using the color code on its bands. Each color represents a specific number according to a standardized code. Here's how to interpret the colors on the resistor in the figure:

1. White: This is the first band. In the color code for resistors, white represents the number 9.
2. Brown: This is the second band. Brown represents the number 1.
3. Red: This is the multiplier band. Red as a multiplier indicates that the base resistance should be multiplied by 100 (or \(10^2\)).

To calculate the resistance:

• Combine the first two bands to create a two-digit number: \(91\).
• Multiply this number by the multiplier value from the third band: \(91 \times 10^2 = 9100 \, \Omega\).
• Convert to kilo-ohms: \(9100 \, \Omega = 9.1 \, \text{k}\Omega\).

Therefore, the value of the resistance is 9.1 kΩ, matching the correct answer in the options provided.