Find resistance of brown, yellow, red, silver coloured code resistor.
Understand the Problem
The question is asking to calculate the resistance of a resistor based on its color code, specifically for the colors brown, yellow, red, and silver. The resistor's color codes correspond to numerical values that need to be interpreted according to standard resistor color coding.
Answer
The resistance is $1400 \, \Omega$ with a tolerance of ±10%.
Answer for screen readers
The resistance of the brown, yellow, red, and silver colored code resistor is $1400 , \Omega$ with a tolerance of ±10% (from $1260 , \Omega$ to $1540 , \Omega$).
Steps to Solve
- Identify the Color Code Values The color codes for resistors correspond to the following numerical values:
- Brown: 1
- Yellow: 4
- Red: 2
- Silver: Tolerance of ±10%
- Calculate the Resistance Value Using the first two colors for significant figures and the third for multiplication:
- The first two digits are formed by the brown and yellow:
- Brown (1) and Yellow (4) form the number 14.
- Apply the Multiplier The third color (Red) indicates a multiplier of $10^2$, which equals 100:
- We multiply the value by 100: $$ R = 14 \times 10^2 $$
-
Calculate the Final Resistance Now, compute the final resistance: $$ R = 14 \times 100 = 1400 , \Omega $$
-
Tolerate the Resistance Lastly, consider the tolerance from the silver band, which means the resistance can vary by ±10%. Therefore:
- Minimum resistance: $$ 1400 - (0.1 \times 1400) = 1400 - 140 = 1260 , \Omega $$
- Maximum resistance: $$ 1400 + (0.1 \times 1400) = 1400 + 140 = 1540 , \Omega $$
The resistance of the brown, yellow, red, and silver colored code resistor is $1400 , \Omega$ with a tolerance of ±10% (from $1260 , \Omega$ to $1540 , \Omega$).
More Information
The values of the resistor are derived from the internationally standardized color code system. Understanding how to read these codes is essential for electronics enthusiasts and professionals when selecting or diagnosing resistors.
Tips
- Mistaking the tolerance color for a significant digit, which can lead to incorrect resistance values.
- Not applying the multiplier correctly when interpreting the color codes.
AI-generated content may contain errors. Please verify critical information
