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If you multiply watts by minutes, or watts by seconds, you ll get the wrong kind of units in your answer Often, the curves in graphs like these are complicated Consider the graph of power consumption in your home, versus time, for a day It might look like the curve in Fig 2-7 Finding the area under this curve is not easy But there is another way to determine the total energy burned by your household over a period of time That is by means of a meter that measures electrical energy in kilowatt-hours Every month, without fail, the power company sends its representative to read your electric meter This person takes down the number of kilowatt-hours displayed, subtracts the number from the reading taken the previous month, and a few days later you get a bill.

In the extreme, lightning occurs between clouds, and between clouds and ground in the earth s atmosphere. This spark is just a greatly magnified version of the little spark you get after shuffling around on a carpet. Until the spark occurs, there is a static charge in the clouds, between different clouds or parts of a cloud, and the ground. In Fig. 1-8, cloud-to-cloud (A) and cloud-to-ground (B) static buildups are shown. In the case at B, the positive charge in the earth follows along beneath the thunderstorm cloud like a shadow as the storm is blown along by the prevailing winds. The current in a lightning stroke is usually several tens of thousands, or hundreds of thousands, of amperes. But it takes place only for a fraction of a second. Still, many coulombs of charge are displaced in a single bolt of lightning.

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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

This meter automatically keeps track of total consumed energy, without anybody having to go through high-level mathematical calculations to find the areas under irregular curves such as the graph of Fig 2-7..

Current can only flow if it gets a push. This might be caused by a buildup of static electric charges, as in the case of a lightning stroke. When the charge builds up, with posi-

13. In a 117-V rms utility circuit, the positive peak voltage is approximately (a) +82.7 V. (b) +165 V. (c) +234 V. (d) +331 V. 14. In a 117-V rms utility circuit, the peak-to-peak voltage is approximately (a) 82.7 V. (b) 165 V. (c) 234 V. (d) 331 V. 15. In a perfect sine wave, the peak-to-peak amplitude is equal to (a) half the peak amplitude. (b) the peak amplitude. (c) 1.414 times the peak amplitude. (d) twice the peak amplitude. 16. If a 45-V dc battery is connected in series with the 117-V rms utility mains as shown in Fig. 9-15, the peak voltages will be approximately (a) +210 V and 120 V. (b) +162 V and 72 V. (c) +396 V and 286 V. (d) +117 V and 117V.

electromagnetic frequencies between one kilohertz (kHz, 1,000 cycles per second) and 10 quintillion (that s 10 followed by 19 zeroes) cycles per second. Most radio-based applications operate at frequencies between 1 kHz and 300 GHz. One concern that has surfaced repeatedly over the years since the inception of radio is spectrum availability. Different services require differing amounts of spectrum for proper operation. For example, a modern FM radio channel requires 30 kHz of bandwidth, whereas an AM channel only requires 3 kHz. Television, on the other hand, requires 6 MHz. As you might imagine, battles between the providers of these disparate services over spectrum allocation became quite heated in the years that followed.

1-8 Cloud-to-cloud (A) and cloud-to-ground (B) charge buildup can both occur in a single thunderstorm.

tive polarity (shortage of electrons) in one place and negative polarity (excess of electrons) in another place, a powerful electromotive force exists. It is often abbreviated EMF. This force is measured in units called volts. Ordinary household electricity has an effective voltage of between 110 and 130; usually it is about 117. A car battery has an EMF of 12 volts (six volts in some older systems). The static charge that you acquire when walking on a carpet with hard-soled shoes is often several thousand volts. Before a discharge of lightning, many millions of volts exist. An EMF of one volt, across a resistance of one ohm, will cause a current of one ampere to flow. This is a classic relationship in electricity, and is stated generally as Ohm s

17. In the situation described in question 16 and illustrated in Fig. 9-15, the peak-to-peak voltage will be approximately (a) 117 V. (b) 210 V. (c) 331 V. (d) 396 V.

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