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Bulb rated for 100 V used on a 200 V supply: series resistance for the same power

The same question, asked 2 times: 2021 Paper 14*, 2021 Paper 19. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 14

    13
    A bulb rated 200W, 100 V100\text{ }V is connected to 200 V200\text{ }V supply. What external resistance should be connected in series to have same power as earlier?

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  2. Question 2

    2021 Paper 19

    15
    An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V200\text{ }V supply. Calculate the resistance RR to be connected in series with the bulb so that the power delivered by the bulb is 500 W500\text{ }W.

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