3 Consider the connection af light bulbs below: 1. B How should the three identical light bulbs be connected to give the maximum brightness- A, B. C or D? (NB: The brightness of a light bulb is dependent on the power P and is proportional to the current strength (P c ) if the resistanceR is the same.) Hint: Determine which combination will provide the smallest equivalent resistance and thus the strongest current.

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**Understanding Light Bulb Connections:**

Consider the following connection diagrams of light bulbs:

**Diagram A:**
- Features three light bulbs connected in series (one after another).

**Diagram B:**
- Shows three light bulbs connected in parallel (all bulbs connected independently across the same two points).

**Diagram C:**
- Depicts a mixed connection where two light bulbs are connected in parallel, and the third light bulb is in series with this parallel combination.

**Diagram D:**
- Represents two parallel light bulbs collectively in series with another single bulb.

**Question:**
How should the three identical light bulbs be connected to give the maximum brightness - A, B, C, or D? (NB: The brightness of a light bulb is dependent on the power \( P \) and is proportional to the current strength squared (\( P \propto I^2 \)) if the resistance \( R \) is the same.)

**Hint:**
Determine which combination will provide the smallest equivalent resistance and thus the strongest current.

**Detailed Diagram Analysis:**
- **Diagram A (Series Connection):** In a series connection, the equivalent resistance is the sum of all three resistances (\( R_{eq} = R_1 + R_2 + R_3 \)), leading to a high total resistance.
- **Diagram B (Parallel Connection):** In a parallel connection, the reciprocal of the equivalent resistance is the sum of the reciprocals of each individual resistance (\( 1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 \)). This results in a much lower equivalent resistance compared to series.
- **Diagram C (Mixed Connection):** Here, the equivalent resistance is more complex. The two parallel resistances contribute collectively, and this parallel combination is in series with the third bulb.
- **Diagram D (Series-Parallel Combination):** Equivalent resistance is calculated by taking the parallel of two bulbs in series with the third bulb, which results in moderate resistance.

**Conclusion:**
For maximum brightness, the configuration with the smallest equivalent resistance is preferred. Analyze the equivalent resistances to conclude that **Diagram B (Parallel Connection)** will provide the highest brightness.
Transcribed Image Text:**Understanding Light Bulb Connections:** Consider the following connection diagrams of light bulbs: **Diagram A:** - Features three light bulbs connected in series (one after another). **Diagram B:** - Shows three light bulbs connected in parallel (all bulbs connected independently across the same two points). **Diagram C:** - Depicts a mixed connection where two light bulbs are connected in parallel, and the third light bulb is in series with this parallel combination. **Diagram D:** - Represents two parallel light bulbs collectively in series with another single bulb. **Question:** How should the three identical light bulbs be connected to give the maximum brightness - A, B, C, or D? (NB: The brightness of a light bulb is dependent on the power \( P \) and is proportional to the current strength squared (\( P \propto I^2 \)) if the resistance \( R \) is the same.) **Hint:** Determine which combination will provide the smallest equivalent resistance and thus the strongest current. **Detailed Diagram Analysis:** - **Diagram A (Series Connection):** In a series connection, the equivalent resistance is the sum of all three resistances (\( R_{eq} = R_1 + R_2 + R_3 \)), leading to a high total resistance. - **Diagram B (Parallel Connection):** In a parallel connection, the reciprocal of the equivalent resistance is the sum of the reciprocals of each individual resistance (\( 1/R_{eq} = 1/R_1 + 1/R_2 + 1/R_3 \)). This results in a much lower equivalent resistance compared to series. - **Diagram C (Mixed Connection):** Here, the equivalent resistance is more complex. The two parallel resistances contribute collectively, and this parallel combination is in series with the third bulb. - **Diagram D (Series-Parallel Combination):** Equivalent resistance is calculated by taking the parallel of two bulbs in series with the third bulb, which results in moderate resistance. **Conclusion:** For maximum brightness, the configuration with the smallest equivalent resistance is preferred. Analyze the equivalent resistances to conclude that **Diagram B (Parallel Connection)** will provide the highest brightness.
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