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Solving Equations About Lightbulbs

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9. In the circuit shown, the switch is open at first, so the nichrome wire is not in the circuit. The resistance of the wire is comparable to that of a light bulb.
(a) When the switch is closed, what happens to the brightness of each bulb, A and B?
(b) Suppose we now make the nichrome wire longer. How does the brightness of each bulb change when this is done?
(See attached file for full problem description)

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This solution involves solving various problems about lightbulbs. Detailed equations are provided.

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