Carbon resistors, used in electronic circuits are marked for their value of resistance and tolerance by a colour code. A given resistor has colour scheme brown, red, green and gold. Its value in ohm is

Options

A. `52xx10^(6)pm10%`
B. `24xx10^(5)pm5%`
C. `12xx10^(4)pm10%`
D. `12xx10^(5)pm5%`

Answer

To determine the value of the resistor with the color code brown, red, green, and gold, we will follow these steps:

### Step 1: Identify the Color Code Values
Each color in the resistor's color code corresponds to a specific digit or multiplier. The first two colors represent significant digits, the third color represents the multiplier, and the fourth color indicates tolerance.

- **Brown**: 1
- **Red**: 2
- **Green**: 10^5 (or 100000)
- **Gold**: ±5% (tolerance)

### Step 2: Combine the Significant Digits
The first two colors (brown and red) give us the significant digits of the resistance value.

- First digit (brown): 1
- Second digit (red): 2

Combining these gives us:
**12**

### Step 3: Apply the Multiplier
The third color (green) indicates the multiplier.

- Multiplier (green): 10^5

To find the resistance value, we multiply the significant digits by the multiplier:
**12 × 10^5**

### Step 4: Write the Final Resistance Value
Now we can express the final resistance value along with its tolerance.

- Resistance value: **12 × 10^5 ohms**
- Tolerance: ±5%

Thus, the final answer is:
**12 × 10^5 ohms ± 5%**

### Final Answer
The value of the resistor is **12 × 10^5 ohms ± 5%**.

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