Example: Silver Orange Yellow Orange = 3, = 9 and Yellow = 104. The design value of the resistor is 39 x 104 or 390000 or 390 kΩ. The silver band represents a tolerance of ± 10%. 10% Ω of 390 = 39, so the minimum value is 390 39 or 351 kΩ and the maximum value is 390 + 39 or 429 kΩ. – Find the design minimum value and maximum value for each of the resistors. Answer in kΩ. 1st band = red, 2nd band = 3rd band = orange, 4th band = gold 1st band = gray, 2nd band = blue, 3rd band = yellow, 4th band = red 1st band = violet, 2nd band = 3rd band = red, 4th band = silver Approach: Use the to generate the values for each resister. Then calculate the minimum/maximum values by subtracting/adding the tolerance. To find the tolerance, multiply the percent of tolerance (in decimal form) by the design value (without the power of 10). Minimum Value Maximum Value Design (subtract the tolerance) (add the tolerance) a 1st band red = 2 2nd bank green = 5 The tolerance is identified by the 4th 3rd band orange = The tolerance is identified by the 4th band (gold) = ±5% 103 band (gold) = ±5% Therefore, the resister value is 25 x 103 or 25 k
Example: Silver Orange Yellow Orange = 3, = 9 and Yellow = 104. The design value of the resistor is 39 x 104 or 390000 Ω or 390 kΩ. The silver band represents a tolerance of ± 10%. 10% of 390 = 39, so the minimum value is 390 – 39 or 351 kΩ and the maximum value is 390 + 39 or 429 kΩ. Find the design minimum value and maximum value for each of the resistors. Answer in kΩ. 1st band = red, 2nd band = 3rd band = orange, 4th band = gold 1st band = gray, 2nd band = blue, 3rd band = yellow, 4th band = red 1st band = violet, 2nd band = 3rd band = red, 4th band = silver Approach: Use the to generate the values for each resister. Then calculate the minimum/maximum values by subtracting/adding the tolerance. To find the tolerance, multiply the percent of tolerance (in decimal form) by the design value (without the power of 10). Design Minimum Value (subtract the tolerance) Maximum Value (add the tolerance) a 1st band red = 2 2nd bank green = 5 3rd band orange = 103 Therefore, the resister value is 25 x 103 or 25 k The tolerance is identified by the 4th band (gold) = ±5% The tolerance is identified by the 4th band (gold) = ±5%
MTH_63_3rd_Edition_Detailed_Solutions_Section_1.3_Reviewed.docx