In which of the following arrangements of electrical circuits will the bulb(s) not light up, assuming that all the bulbs and dry cells are identical?

Options

A.
B.
C.
D.

Explanation

To determine in which arrangement of electrical circuits the bulbs will not light up, we need to analyze each arrangement based on how the positive and negative terminals of the bulbs and dry cells are connected.

### Step-by-Step Solution:

1. **Understanding Circuit Basics**:
- A bulb lights up when the positive terminal of a battery (dry cell) is connected to the positive terminal of the bulb, and the negative terminal of the battery is connected to the negative terminal of the bulb. This creates a complete circuit.

2. **Analyzing Each Arrangement**:
- **Arrangement 1**:
- Positive terminal of the battery is connected to the positive terminal of the bulb, and the negative terminal of the battery is connected to the negative terminal of the bulb.
- **Conclusion**: The bulb will light up.

- **Arrangement 2**:
- Positive terminal of the battery is connected to the positive terminal of one bulb, and the negative terminal of the battery is connected to the negative terminal of another bulb.
- **Conclusion**: Both bulbs will light up since they are properly connected.

- **Arrangement 3**:
- Both bulbs are connected to the positive terminal of the battery, and there is no connection to the negative terminal of the battery.
- **Conclusion**: The bulbs will not light up because there is no complete circuit.

- **Arrangement 4**:
- Positive terminal of the battery is connected to the positive terminal of one bulb, and the negative terminal of the battery is connected to the negative terminal of the other bulb.
- **Conclusion**: The bulbs will light up since they are properly connected.

3. **Final Conclusion**:
- The only arrangement where the bulbs will not light up is **Arrangement 3**. Therefore, the correct answer is **Option C**.