A given carbon resistor has the following colour code of the various strips: orange, red, yellow and gold. The value of resistance (in ohm) is

Options

A. `32xx10^4pm5%`
B. `32xx10^4pm10%`
C. `23xx10^4pm5%`
D. `23xx10^4pm10%`

Answer

To determine the resistance value of a carbon resistor with the color code orange, red, yellow, and gold, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Color Code Values:**
- The first two colors represent significant digits.
- The third color represents the multiplier.
- The fourth color represents the tolerance.

2. **Assign Values to Each Color:**
- **Orange** corresponds to the digit **3**.
- **Red** corresponds to the digit **2**.
- **Yellow** corresponds to the multiplier **10^4**.
- **Gold** corresponds to the tolerance of **±5%**.

3. **Combine the Significant Digits:**
- The significant digits from the first two colors (orange and red) are combined to form the number **32** (from 3 and 2).

4. **Apply the Multiplier:**
- Multiply the significant number by the multiplier:
\[ 32 \times 10^4 = 320000 \, \text{ohms} \]

5. **Include the Tolerance:**
- The tolerance indicates that the actual resistance can vary by ±5%. Thus, we can express the resistance as:
\[ 320000 \, \text{ohms} \, \pm 5\% \]

### Final Answer:
The value of the resistance is **320,000 ohms (or 320 kΩ) ± 5%**.

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