A resistor is marked with the rings coloured brown, balck, green, and gold. The resitance in ohm is

Options

A. `(3.5xx10^(5)pm5%)`
B. `(1.10xx10^(5)pm10%)`
C. `(8xx10^(6)pm5%)`
D. `(1xx10^(6)pm5%)`

Answer

To find the resistance of a resistor marked with the color bands brown, black, green, and gold, we can follow these steps:

### Step 1: Identify the Color Codes
The first step is to identify the values associated with each color band according to the standard resistor color code:

- **Brown**: 1
- **Black**: 0
- **Green**: 10^5 (or 100000)
- **Gold**: Tolerance of ±5%

### Step 2: Determine the Digits
The first two colors represent the significant digits of the resistance value:
- The first digit (brown) is **1**.
- The second digit (black) is **0**.

### Step 3: Form the Base Value
Combine the first two digits to form the base value:
- Base value = 10 (from combining 1 and 0).

### Step 4: Apply the Multiplier
The third color (green) indicates the multiplier:
- The multiplier is **10^5**.

### Step 5: Calculate the Resistance
Now, we calculate the resistance using the base value and the multiplier:
- Resistance = Base value × Multiplier
- Resistance = 10 × 10^5 = 10^6 ohms.

### Step 6: Determine the Tolerance
The last color (gold) indicates the tolerance:
- Tolerance = ±5%.

### Final Answer
Thus, the resistance of the resistor is:
- **1,000,000 ohms (or 1 MΩ) ± 5%**.

### Summary
The resistance in ohms is **1 MΩ ± 5%**.

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