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It s out of the question to make a capacitor of the preceding dimensions. But two sheets, or strips, of foil can be placed one on top of the other, separated by a thin, nonconducting sheet such as paper, and then the whole assembly can be rolled up to get a large effective surface area. When this is done, the electric flux becomes great enough so that the device exhibits significant capacitance. Alternatively, two sets of several plates each can be meshed together with air in between them, and the resulting capacitance is significant at high ac frequencies. In a capacitor, the electric flux concentration is multiplied when a dielectric of a certain type is placed between the plates. This increases the effective surface area of the plates, so that a physically small component can be made to have a large capacitance. The voltage that a capacitor can handle depends on the thickness of the metal sheets or strips, on the spacing between them, and on the type of dielectric used. In general, capacitance is directly proportional to the surface area of the conducting plates or sheets. Capacitance is inversely proportional to the separation between conducting sheets. In other words, the closer the sheets are to each other, the greater the capacitance. The capacitance also de-

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wavelength, in free space is just 75 cm, or a little more than 2 ft. In general, if f is the frequency in megahertz, then 1 4 wavelength (s) in free space, in centimeters, is given by s 7500/f

pends on the dielectric constant of the material between the plates. A vacuum has a dielectric constant of 1; some substances have dielectric constants that multiply the effective capacitance many times.

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The length of a quarter-wavelength section of transmission line is shortened from the free-space quarter wavelength by the effects of the dielectric. In practice, 1 4 wavelength along the line can be anywhere from about 0.66 of the free-space length (for coaxial lines with solid polyethylene dielectric) to about 0.95 of the free-space length (for parallel-wire line with spacers molded at intervals of several inches). The factor by which the wavelength is shortened is called the velocity factor of the line. This is because the shortening of the wavelength is a result of a slowing-down of the speed with which the radio signals move in the line, as compared with their speed in space (the speed of light). If the velocity factor of a line is given by v, then the above formula for the length of a quarter-wave line, in centimeters, becomes s 7500v/f

When a battery is connected between the plates of a capacitor, the potential difference between the plates builds up at a rate that depends on the capacitance. The greater the capacitance, the slower the rate of change of voltage in the plates. The unit of capacitance is an expression of the ratio between the current that flows and the rate of voltage change between the plates as the plates become charged. A capacitance of 1 farad (1 F) represents a current flow of 1 A while there is a voltage increase of 1 V/s. A capacitance of 1 F also results in 1 V of potential difference for an electric charge of 1 C. The farad is a huge unit of capacitance. You ll almost never see a capacitor with a value of 1 F. Commonly employed units of capacitance are the microfarad ( F) and the picofarad (pF). A capacitance of 1 F represents 0.000001 (10 6) F, and 1 pF is a millionth of a microfarad, or 0.000000000001 (10 12) F. Physically small components can be made to have fairly large capacitance values. Conversely, some capacitors with small values take up large physical volumes. The physical size of a capacitor, if all other factors are held constant, is proportional to the voltage that it can handle. The higher the rated voltage, the bigger the component.

Not only are these systems more secure than narrowband technologies, they also support significantly larger numbers of simultaneous users In fact, whereas FDMA systems support a single-userper-frequency slot, CDMA systems can support hundreds Radio-based telephony has enjoyed a wild, tumultuous ride along the way to its position today as a mainstream, foundation-level technology Starting in the late 1800s with the parallel work of Marconi and Bell, radio and telephony wandered down different paths until fairly recently, when they converged and joined forces, leading to the development of cellular telephony The story doesn t end with cellular telephony, however Today mobile users are clamoring for the ability to extend the reach of LANs, videoconferencing systems, medical image devices, and database access, without having to deal with the restrictions of a copper tether.

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