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18 December, 17:49

A certain electric furnace consumes 24 kw when it is connected to a 240-v line. what is the resistance of the furnace?

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  1. 18 December, 17:53
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    One very handy electrical formula is

    Power dissipated by a resistance = (Voltage) ² / (resistance).

    24 kilowatts = (240 v) ² / Resistance

    Multiply each side by (Resistance):

    (Resistance) x (24 kilowatts) = (240 v) ²

    Divide each side by (24 kilowatts):

    Resistance = (240 v) ² / (24,000 watts)

    Resistance = (57,600 / 24,000) (volt² / volt · Amp)

    Resistance = 2.4 (volt/Amp)

    Resistance = 2.4 Ohms
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