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Other energy units 33
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2-7 Hypothetical graph showing the power consumed by a typical household, as a function of the time of day.
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As said before, physicists prefer to use the joule, or watt second, as their energy unit. This is the standard unit for scientific purposes. Another unit is the erg, equivalent to one ten-millionth (0.0000001) of a joule. This is said to be roughly the amount of energy needed by a mosquito to take off after it has bitten you (not including the energy needed for the bite itself). The erg is used in lab experiments involving small amounts of expended energy. You have probably heard of the British thermal unit (Btu), equivalent to 1055 joules. This is the energy unit most often used to indicate the cooling or heating capacity of air-conditioning equipment. To cool your room from 85 to 78 degrees needs a certain amount of energy, perhaps best specified in Btu. If you are getting an air conditioner or furnace installed in your home, an expert will come look at your situation, and determine the size of air conditioning/heating unit, in Btu, that best suits your needs. It doesn t make any sense to get one that is way too big; you ll be wasting your money. But you want to be sure that it s big enough or you ll also waste money because of inefficiency and possibly also because of frequent repair calls.
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34 Electrical units Physicists also use, in addition to the joule, a unit of energy called the electron volt (eV). This is an extremely tiny unit of energy, equal to just 0.00000000000000000016 joule (there are 18 zeroes after the decimal point and before the 1). The physicists write 1.6 10 19 to represent this. It is the energy gained by a single electron in an electric field of 1 V. Atom smashers are rated by millions of electron volts (MeV) or billions of electron volts (GeV) of energy capacity. In the future you might even hear of a huge linear accelerator, built on some vast prairie, and capable of delivering trillions of electron volts (TeV). Another energy unit, employed to denote work, is the foot pound (ft-lb). This is the work needed to raise a weight of one pound by a distance of one foot, not including any friction. It s equal to 1.356 joules. All of these units, and conversion factors, are given in Table 2-3. Kilowatt hours and watt hours are also included in this table. You don t really need to worry about the exponential notation, called scientific notation, here. In electricity and electronics, you need to be concerned only with the watt hour and the kilowatt hour for most purposes, and the conversions hardly ever involve numbers so huge or so miniscule that you ll need scientific notation.
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Table 2-3.
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Unit Btu eV erg ft-lb Wh kWh
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Conversely, multiply by 0.000948 or 9.48 10 4 6.2 1018 10,000,000 or 107 0.738 0.000278 or 2.78 10 4 0.000000278 or 2.78 10 7
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To convert to joules multiply by 1055 1.6 10 19 0.0000001 or 10 7 1.356 3600 3,600,000 or 3.6 x 106
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ac Waves and the hertz
This chapter, and this whole first section, is concerned with direct current (dc), that is, current that always flows in the same direction, and that does not change in intensity (at least not too rapidly) with time. But household utility current is not of this kind. It reverses direction periodically, exactly once every 1/120 second. It goes through a complete cycle every 1/60 second. Every repetition is identical to every other. This is alternating current (ac). In some countries, the direction reverses every 1/100 second, and the cycle is completed every 1/50 second. Figure 2-8 shows the characteristic wave of alternating current, as a graph of voltage versus time. Notice that the maximum positive and negative voltages are not 117 V, as you ve heard about household electricity, but close to 165 V. There is a reason for this difference. The effective voltage for an ac wave is never the same as the instantaneous
Rectification and fluctuating direct current 35 maximum, or peak, voltage. In fact, for the common waveshape shown in Fig. 2-8, the effective value is 0.707 times the peak value. Conversely, the peak value is 1.414 times the effective value.
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