Which of the following is the correct colour code for a resistor having its resistance equal to 68 kΩ ± 10%?
Blue, grey, orange, silver
Resistor Color Code for 68 k$\Omega$ ± 10%
The resistance of a resistor is often indicated using colored bands. For a four-band resistor, the color bands represent the first digit, the second digit, the multiplier, and the tolerance.
Here is a table showing the standard color codes:
| Color | Digit (Band 1 & 2) | Multiplier (Band 3) | Tolerance (Band 4) |
|---|---|---|---|
| Black | 0 | $10^0$ (1) | — |
| Brown | 1 | $10^1$ (10) | ± 1% |
| Red | 2 | $10^2$ (100) | ± 2% |
| Orange | 3 | $10^3$ (1 kΩ) | — |
| Yellow | 4 | $10^4$ (10 kΩ) | — |
| Green | 5 | $10^5$ (100 kΩ) | ± 0.5% |
| Blue | 6 | $10^6$ (1 MΩ) | ± 0.25% |
| Violet | 7 | $10^7$ (10 MΩ) | ± 0.1% |
| Grey | 8 | $10^8$ (100 MΩ) | ± 0.05% |
| White | 9 | $10^9$ (1 GΩ) | — |
| Gold | — | $10^{-1}$ (0.1) | ± 5% |
| Silver | — | $10^{-2}$ (0.01) | ± 10% |
| None | — | — | ± 20% |
We are given a resistance of 68 kΩ ± 10%. First, let's write the resistance in standard ohms: $68 \, \text{k}\Omega = 68 \times 1000 \, \Omega = 68000 \, \Omega$.
Now, let's break down the resistance value and tolerance to find the color bands:
- First Digit: The first digit of 68000 (considering the first two significant digits for the bands) is 6. Looking at the table, the color code for 6 is Blue. This will be the first band.
- Second Digit: The second digit is 8. The color code for 8 is Grey. This will be the second band.
- Multiplier: The number 68000 can be written as $68 \times 10^3$. The multiplier is $10^3$. Looking at the table, the color code for the multiplier $10^3$ is Orange. This will be the third band.
- Tolerance: The given tolerance is ± 10%. Looking at the table, the color code for ± 10% is Silver. This will be the fourth band.
Therefore, the correct color code for a resistor having a resistance of 68 kΩ ± 10% is Blue, Grey, Orange, Silver.
Let's check the given options:
- Option 1: Blue, grey, orange, gold (± 5% tolerance) - Incorrect.
- Option 2: Blue, grey, orange, silver (± 10% tolerance) - Correct.
- Option 3: Grey, blue, orange, gold (Incorrect first two digits) - Incorrect.
- Option 4: Grey, blue, orange, silver (Incorrect first two digits) - Incorrect.
The color code Blue, Grey, Orange, Silver corresponds to a resistance of 68 kΩ with ± 10% tolerance.
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