The value of a resistor that has three red rings marked on it is:

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  1. 333 ohms
  2. 3.33 Kilo ohms
  3. 2.22 Kilo ohms
  4. 22.22 Kilo ohms

Answer (Detailed Solution Below)

Option 3 : 2.22 Kilo ohms
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Detailed Solution

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Explanation:

Resistor Color Coding

Definition: The color coding on a resistor is a system used to indicate the value of a resistor. The colors are standardized by the Electronic Industries Association (EIA) and are used to denote the resistance value in ohms (Ω), the tolerance, and sometimes the reliability or failure rate of the resistor.

Color Code Chart:

Color Digit Multiplier Tolerance
Black 0 1 -
Brown 1 10 ±1%
Red 2 100 ±2%
Orange 3 1,000 -
Yellow 4 10,000 -
Green 5 100,000 ±0.5%
Blue 6 1,000,000 ±0.25%
Violet 7 10,000,000 ±0.1%
Gray 8 100,000,000 ±0.05%
White 9 1,000,000,000 -
Gold - 0.1 ±5%
Silver - 0.01 ±10%
None - - ±20%

Calculation of Resistance Value:

To determine the resistance value from the color bands on a resistor, the following steps are used:

  1. Identify the colors of the bands on the resistor.
  2. Use the color code chart to determine the digit value for each band.
  3. The first two bands represent the first two significant digits of the resistance value.
  4. The third band represents the multiplier (power of ten).
  5. The fourth band (if present) represents the tolerance of the resistor.

For a resistor with three red bands, the calculation is as follows:

  • First band (Red): Digit = 2
  • Second band (Red): Digit = 2
  • Third band (Red): Multiplier = 100

Combining these values, the resistance is calculated as:

Resistance = (First Digit × 10 + Second Digit) × Multiplier

Resistance = (2 × 10 + 2) × 100

Resistance = (20 + 2) × 100

Resistance = 22 × 100

Resistance = 2200 ohms, or 2.2 kilo ohms (kΩ)

Therefore, the correct option is:

Option 3: 2.22 Kilo ohms

Additional Information

To further understand the analysis, let’s evaluate the other options:

Option 1: 333 ohms

This option is incorrect because the calculation of the resistance value based on the color code does not result in 333 ohms. The color code red-red-red corresponds to 2200 ohms, not 333 ohms.

Option 2: 3.33 Kilo ohms

This option is incorrect because the calculated resistance value of 2200 ohms (or 2.2 kilo ohms) does not match 3.33 kilo ohms.

Option 4: 22.22 Kilo ohms

This option is incorrect because the resistance value based on the color code red-red-red does not result in 22.22 kilo ohms. The correct value is 2200 ohms or 2.2 kilo ohms.

Conclusion:

Understanding the resistor color code system is essential for accurately determining the resistance value of a resistor. The three red bands (red-red-red) on a resistor correspond to a resistance value of 2200 ohms, or 2.2 kilo ohms. This knowledge is crucial for selecting the appropriate resistor for a given electronic circuit, ensuring that the circuit functions correctly and safely.

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