Question

A carbon resistor is marked with the rings coloured blue, black, rcd and silver. lts rcsistance in ohm is

• A. $1 \times 10^5 ± 10 % $
• B. $60 \times 10^2 ± 10 % $
• C. $1 \times 10^6 ± 5 % $
• D. $3.2 \times 10^4 ± 5 % $`
• E. $45 \times 10^2 ± 5 % $

Answer 1

The Correct Option is B

Carbon Resistor Color Code 

A carbon resistor is marked with the rings colored Brown, Black, Red, and Silver. We need to determine its resistance in ohms.

Step 1: Understand the Color Code

The carbon resistor color code is a standard used to indicate the resistance value and tolerance of resistors. Each color represents a digit:

• Black: 0
• Brown: 1
• Red: 2
• Orange: 3
• Yellow: 4
• Green: 5
• Blue: 6
• Violet: 7
• Gray: 8
• White: 9

The first two color bands represent the first two digits of the resistance value. The third band represents the multiplier (power of 10). The fourth band represents the tolerance.

Tolerance values:

• Gold: ±5%
• Silver: ±10%
• None: ±20%

Step 2: Decode the Colors

• Brown: 1
• Black: 0
• Red: Multiplier of \(10^2\) (100)
• Silver: ±10% tolerance

Step 3: Calculate the Resistance

The resistance is calculated as follows:

\(R = (\text{First Digit} \times 10 + \text{Second Digit}) \times \text{Multiplier}\)

\(R = (1 \times 10 + 0) \times 10^2\)

\(R = 10 \times 100 = 1000 \Omega = 10^3 \Omega\)

There appears to be an error in the answer's calculation since it should have resulted in 1000 Ohms instead of 100,000 Ohms.

Conclusion

The carbon resistor is \(1000 \Omega\) \({\pm}\) 10%. But there must be a typo and it needs the colors: yellow-5 ,green-0. so then it becomes 100,000\({\pm}\) 10% and should read: A carbon resistor is marked with the rings colored Yellow, Green, Red and Silver Then carbon resistor is 1 x \(10^5\) \({\pm}\) 10%. and it matches the right option

Answer 2

To decode the resistance value from color bands, use the standard color code:  
Blue = 6 (1st digit)  
Black = 0 (2nd digit)  
Red = multiplier = ×10²  
Silver = tolerance = ±10%  

Putting the values together:  
Resistance = (60) × 10² = 6000 ohms  
Tolerance = ±10%  

So, the correct resistance value is 60 × 10² ± 10%