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Zorluk: OrtaResistors and Potentiometers

A four-band resistor removed from an amplifier circuit displays the color band sequence Yellow, Violet, Red, and Gold. When measured with an ohmmeter, which range represents the acceptable resistance values for this component to be within manufacturer tolerance?

  1. A
    4,230 Ω to 5,170 Ω4,230\ \Omega\text{ to }5,170\ \Omega
  2. B
    446.5 Ω to 493.5 Ω446.5\ \Omega\text{ to }493.5\ \Omega
  3. 4,465 Ω to 4,935 Ω4,465\ \Omega\text{ to }4,935\ \OmegaCevap
  4. D
    4,653 Ω to 4,747 Ω4,653\ \Omega\text{ to }4,747\ \Omega

Cevap

The acceptable tolerance range is 4,465 Ω to 4,935 Ω4,465\ \Omega\text{ to }4,935\ \Omega.
Decoding the four bands gives Yellow (4), Violet (7), Red (multiplier of 100100), and Gold (±5%\pm 5\% tolerance). The nominal resistance is 47×100=4,700 Ω47 \times 100 = 4,700\ \Omega. Five percent of 4,700 Ω4,700\ \Omega is 235 Ω235\ \Omega. Subtracting and adding 235 Ω235\ \Omega to the nominal value yields the valid range of 4,465 Ω to 4,935 Ω4,465\ \Omega\text{ to }4,935\ \Omega.

Adım Adım Çözüm

1
Decode the significant digits and multiplier from the first three color bands.
Yellow = 4, Violet = 7, Red = ×102\times 10^2 (100100). Nominal resistance = 47×100=4,700 Ω47 \times 100 = 4,700\ \Omega.
The standard EIA four-band color code uses the first two bands for significant digits and the third band as a decimal multiplier.
2
Determine the tolerance percentage from the fourth band.
Gold = ±5%\pm 5\%.
The fourth band specifies the manufacturing tolerance rating.
3
Calculate the allowable deviation in ohms.
4,700 Ω×0.05=235 Ω4,700\ \Omega \times 0.05 = 235\ \Omega.
Multiplying the nominal resistance by the tolerance percentage gives the maximum allowable variation.
4
Calculate the lower and upper limits of acceptable resistance.
Lower Limit: 4,700 Ω−235 Ω=4,465 Ω4,700\ \Omega - 235\ \Omega = 4,465\ \Omega; Upper Limit: 4,700 Ω+235 Ω=4,935 Ω4,700\ \Omega + 235\ \Omega = 4,935\ \Omega.
Adding and subtracting the allowable deviation establishes the operational boundaries.

Anahtar Kavram

Four-band resistor color code decoding and percentage tolerance range calculation
Tahmini Süre:45s
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Resistors and Potentiometers

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