We'll Share The Bill

Tom and Harry are roommates whose ceiling lights are connected in a series circuit. They agreed to each install a $$100 \text{ W}$$ bulb in their rooms, and split the electricity bill equally.

However, Tom decides to get more light at Harry’s expense. Thinking that a higher wattage bulb is better, Tom installed a $$200 \text{ W}$$ bulb. Harry being fair, installed a $$100 \text{ W}$$ bulb.

Will Tom succeed in cheating Harry?

Details and Assumptions:

• Both the bulbs have equal voltage ratings.
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