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A few years ago, while filming a video about telephony on location in Texas, I interviewed a small town sheriff about his use of telecommunications technology in his job. I wanted to know how it has changed the way he does his job. Well, sir, he began, puffing out his chest and sticking his thumbs into his waistband, we use telecommunications all the time. We use our radios and cell phones in the cars, and our telephones there to talk here in town and for long distance. And now, he said, patting a fax machine on his desk, we ve got backup. I wasn t sure what he meant by that, so I asked. We ve always had trouble with the phones goin out around here, and that was a bad thing. Can t very well do our job if we can t talk. But now we ve got this here fax machine. I was puzzled. I was missing his point, so I probed a little deeper. Don t you get it, son Before, if we lost the phones, we were like fish outta water. Now, I know that if the phones go down, I can always send a fax. Unfortunately, many peoples understanding of the inner workings of the telephone network is at about the same level as the understanding of the sheriff (who was a wonderful guy, by the way. I set him straight on his understanding of the telephone network and he treated me to the best chicken fried steak I have ever eaten). Hopefully, this chapter and those that follow are helping to lift the haze a bit. We will return to the central office several times as we examine the data transport side of telecommunications, but for now, on to access.

Have you ever used those tiny holiday lights that come in strings If one bulb burns out, the whole set of bulbs goes dark; then you have to find out which bulb is bad, and replace it to get the lights working again. Each bulb works with something like 10 V; there are about a dozen bulbs in the string. You plug in the whole bunch and the 120-V utility mains drive just the right amount of current through each bulb. In a series circuit, such as a string of light bulbs (Fig. 5-1), the current at any given point is the same as the current at any other point. The ammeter, A, is shown in the line between two of the bulbs. If it were moved anywhere else along the current path, it would indicate the same current. This is true in any series dc circuit, no matter what the components actually are and regardless of whether or not they all have the same resistance. If the bulbs in Fig. 5-1 were of different resistances, some of them would consume more power than others. In case one of the bulbs in Fig. 5-1 burns out, and its socket is then shorted out instead of filled with a replacement bulb, the current through the whole chain will increase, because the overall resistance of the string would go down. This would force each of the remaining bulbs to carry too much current. Another bulb would probably burn out before long. If it, too, were replaced with a short circuit, the current 82

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L ft = 246v/fo The length Lm in meters is given by this: L m = 75.0v/fo We use L here to stand for length, not inductance !

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would be increased still further. A third bulb would probably blow out almost right away after the string was plugged in.

17-14 The half-wave,

The bulbs in the string of Fig 5-1, being all the same, each get the same amount of voltage from the source If there are a dozen bulbs in a 120-V circuit, each bulb will have a potential difference of 10 V across it This will be true no matter how large or small the bulbs are, as long as they re all identical If you think about this for a moment, it s easy to see why it s true Look at the schematic diagram of Fig 5-2 Each resistor carries the same current Each resistor Rn has a potential difference En across it, equal to the product of the current and the resistance of that particular resistor These En s are in series, like cells in a battery, so they add together.

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Antennas Many types of antennas exhibit resonant properties. The simplest type of resonant antenna, and the only kind that will be mentioned here, is the center-fed, half-wavelength dipole antenna (Fig. 17-14). The length Lft, in feet, for a dipole antenna at a frequency of fo, in megahertz, is given by the following formula:

What if the En s across all the resistors added up to something more or less than the supply voltage, E Then there would have to be a phantom EMF some place, adding or taking away voltage But there is no such An EMF cannot come out of nowhere This principle will be formalized later in this chapter Look at this another way The voltmeter V in Fig 5-2 shows the voltage E of the battery, because the meter is hooked up across the battery The meter V also shows the sum of the En s across the set of resistors, because it s connected across the set of resistors The meter says the same thing whether you think of it as measuring the battery voltage E, or as measuring the sum of the En s across the series combination of resistors.

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