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20 May, 23:54

An electronic circuit element consists of 23 mg of silicon. An electric current through the circuit adds heat at a rate of 7.4 x 10-3 J/s. At what rate does the temperature of the circuit element increase? Assume that heat does not transfer from the circuit element to the environment. The specific heat capacity of silicon is.

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  1. 21 May, 01:10
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    Given that all the heat is absorbed by the silicon element, the calculation is:

    Heat = m * specific heat * ΔT

    Heat rate = heat / time = m * specif heat * ΔT / time

    Where ΔT / time = temperature change rate, which is what you want to calculate

    => ΔT / time = heat rate / (m*specific heat)

    You have:

    heat rate = 7.4 * 10 ^-3 J/s

    m = 23 mg = 23 * 10^ - 3 g

    Specific heat = 0.7 J / (g * °C), taken from internet because you forgo to include the information.

    => ΔT / t = [7.4 * 10^ - 3 J/s ] / [ 23 * 10^ - 3 g * 0.7 J / (g*°C) ]

    => ΔT / t = 0.46 °C / s

    Answer: 0.46°C / s
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