For the given carbon resistor, let the first strip be yellow, second strip be red, third strip be orange and fourth be gold. What its resistance?

Explanation

To find the resistance of the given carbon resistor based on its color coding, we will follow these steps:

### Step 1: Identify the color codes
The color bands on the resistor are:
- First band: Yellow
- Second band: Red
- Third band: Orange
- Fourth band: Gold

### Step 2: Determine the numerical values for the color bands
Using the standard resistor color code:
- Yellow corresponds to the number **4**
- Red corresponds to the number **2**
- Orange corresponds to the multiplier **10^3**
- Gold corresponds to a tolerance of **±5%**

### Step 3: Construct the resistance value
The resistance value is constructed using the first two bands as significant digits and the third band as a multiplier:
- The first two digits from the first and second bands are **4** and **2**, which gives us **42**.
- The third band (orange) indicates a multiplier of **10^3**.

Thus, the resistance can be calculated as:
\[ \text{Resistance} = 42 \times 10^3 \, \Omega \]

### Step 4: Include the tolerance
The fourth band (gold) indicates a tolerance of ±5%. Therefore, we can express the final resistance value as:
\[ \text{Resistance} = 42 \times 10^3 \, \Omega \, \pm \, 5\% \]

### Final Answer
The resistance of the carbon resistor is:
\[ 42,000 \, \Omega \, \pm \, 5\% \]

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