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The bulbs in the given circuit are identical and the battery is ideal. Part a onsider the circuit as shown. Figure 2 i. Rank bulbs A, B, and C in order of brightness. Explain how you determined your answer. ii. Rank the voltages across the bulbs. Explain. iii. Write an equation that relates the voltage across bulbs A and B to the battery voltage. iv. Is the voltage across bulb A greater than, less than, or equal to one half the battery voltage? Explain your easoning

Part b A student cuts the wire between bulbs A and C as shown Figure 3 i. Rank bulbs A, B, and C in order of brightness. Explain how you determined your answer. ii. Rank the voltages across the bulbs. Explain. iii. Write an equation that relates the voltage across bulbs A and B to the battery voltage. iv. Is the voltage across bulb A greater than, less than, or equal to one half the battery voltage? Explain your reasoning

Part c Consider the following discussion between two students regarding the change in the circuit when the wire in the circuit is out (part b): Student: I think that bulb B will get brighter. Bulb B used to share the current with bulb C, btn gets all the current. So bulb B will get brighter. it Student 2: I dont think so. Now there arent as many paths for the current, so the resistance in the circuit has increased. Since the resistance in the circuit has gone up, the current in the circuit decreases. Bulb B will get dimmer. i. Is Student 1 correct? Why or why not? ii. Is Student 2 correct? Why or why not? iii. Use what you have learned about voltage to determine whether bulb B will become brighter, become dimmer, or stay the same brightness when the wire is cut. Explain how you determined your answer.

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