Students in a physics lab use a battery and three identical lightbulbs to construct the circuit shown in Figure 1 above. The brightness of each bulb increases when the current through the bulb increases. (a) Which bulb, if any, is the brightest? Check the best option.

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### Understanding Series and Parallel Circuits with Identical Lightbulbs

**Students in a physics lab use a battery and three identical lightbulbs to construct the circuit shown in Figure 1 above. The brightness of each bulb increases when the current through the bulb increases.**

#### Figure 1 Description
- A battery is connected in series with three identical lightbulbs labeled A, B, and C.

**(a) Which bulb, if any, is the brightest? Check the best option.**

- [ ] A
- [ ] B
- [ ] C
- [ ] All bulbs have the same brightness.

*Briefly explain your reasoning in terms of current and/or potential difference:*

---

**(b) The students observe the brightness of bulbs A, B, and C. The students then add a fourth lightbulb D, with a larger resistance than bulbs A, B, and C, as shown in Figure 2 (right).**

#### Figure 2 Description
- A battery is connected in series with three lightbulbs labeled A, B, and C, and then a fourth lightbulb D is added in parallel, which has a larger resistance than the first three.

**(i) Is bulb A now brighter than, dimmer than, or the same brightness as it was in the circuit in Figure 1?**

- [ ] Brighter
- [ ] Dimmer
- [ ] Same brightness

*Briefly explain your reasoning:*

---

**(ii) Is bulb B now brighter than, dimmer than, or the same brightness as it was in the circuit in Figure 1?**

- [ ] Brighter
- [ ] Dimmer
- [ ] Same brightness

*Briefly explain your reasoning:*

---

**(c) Bulbs A, B, and C each have resistance \(10 \, \Omega\), while bulb D has a resistance of \(30 \, \Omega\). In the circuit shown in Figure 2, the current through bulb D is measured to be \(0.20 \, \text{A}\). Calculate the potential difference across bulb A.**

**Explanation of Figures and Concepts:**

- **Figure 1:** A simple series circuit where each bulb shares the same current. The brightness is uniform among the bulbs since they have identical resistance.
  
- **Figure 2:** A more complex circuit with a fourth lightbulb D added in parallel. The
Transcribed Image Text:### Understanding Series and Parallel Circuits with Identical Lightbulbs **Students in a physics lab use a battery and three identical lightbulbs to construct the circuit shown in Figure 1 above. The brightness of each bulb increases when the current through the bulb increases.** #### Figure 1 Description - A battery is connected in series with three identical lightbulbs labeled A, B, and C. **(a) Which bulb, if any, is the brightest? Check the best option.** - [ ] A - [ ] B - [ ] C - [ ] All bulbs have the same brightness. *Briefly explain your reasoning in terms of current and/or potential difference:* --- **(b) The students observe the brightness of bulbs A, B, and C. The students then add a fourth lightbulb D, with a larger resistance than bulbs A, B, and C, as shown in Figure 2 (right).** #### Figure 2 Description - A battery is connected in series with three lightbulbs labeled A, B, and C, and then a fourth lightbulb D is added in parallel, which has a larger resistance than the first three. **(i) Is bulb A now brighter than, dimmer than, or the same brightness as it was in the circuit in Figure 1?** - [ ] Brighter - [ ] Dimmer - [ ] Same brightness *Briefly explain your reasoning:* --- **(ii) Is bulb B now brighter than, dimmer than, or the same brightness as it was in the circuit in Figure 1?** - [ ] Brighter - [ ] Dimmer - [ ] Same brightness *Briefly explain your reasoning:* --- **(c) Bulbs A, B, and C each have resistance \(10 \, \Omega\), while bulb D has a resistance of \(30 \, \Omega\). In the circuit shown in Figure 2, the current through bulb D is measured to be \(0.20 \, \text{A}\). Calculate the potential difference across bulb A.** **Explanation of Figures and Concepts:** - **Figure 1:** A simple series circuit where each bulb shares the same current. The brightness is uniform among the bulbs since they have identical resistance. - **Figure 2:** A more complex circuit with a fourth lightbulb D added in parallel. The
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