Question:

The resistance of a carbon resistor is 4.7 kΩ ± 5% . The colour of the third band is

Updated On: Mar 30, 2025
  • red
  • violet
  • orange
  • gold
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The Correct Option is A

Solution and Explanation

Step 1: Identify the given resistor value clearly:

The given resistor value is \(4.7\,k\Omega \pm 5\%\).

Step 2: Resistor color-coding rules:

A resistor with four color bands is read as:

  • 1st band: First significant digit
  • 2nd band: Second significant digit
  • 3rd band: Multiplier (power of 10)
  • 4th band: Tolerance

Step 3: Decode the given resistor value (4.7 kΩ):

\[ 4.7\,k\Omega = 4700\,\Omega \]

Expressed in standard form:

\[ 4700 = 47 \times 10^2 \]

Here:

  • First digit = 4 (Yellow)
  • Second digit = 7 (Violet)
  • Multiplier = \(10^2\), thus exponent = 2. The color corresponding to '2' is Red.

Thus, the third band (multiplier) is Red.

Final Answer: Option (A) Red

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