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14 November, 17:33

An electric device, which heats water by immersing a resistance wire in the water, generates 50 cal of heat per second when an electric potential difference of 12 V is placed across its leads. What is the resistance of the heater wire?

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  1. 14 November, 18:56
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    0.686 Ohm

    Explanation:

    Heat energy H = 50 cal = 50 x 4.2 J = 210 J, time t = 1 second, V = 12 V

    Let R be the resistance.

    Heat energy = V^2 x t / R

    210 = 12 x 12 x 1 / R

    210 = 144 / R

    R = 144 / 210 = 0.686 Ohm
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