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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.

Instantaneous Amplitude The instantaneous amplitude of an ac wave is the amplitude at some precise moment, or instant, in time. This constantly changes. The manner in which it varies depends on the waveform. Instantaneous amplitudes are represented by individual points on the wave curves. Peak Amplitude The peak (pk) amplitude of an ac wave is the maximum extent, either positive or negative, that the instantaneous amplitude attains. In many situations, the positive and negative peak amplitudes of

An example is shown at Fig 9-8 This is a display of a voice-modulated radio signal Much of the energy is concentrated at the center of the pattern, at the frequency shown by the vertical line But there is also plenty of energy splattered around this carrier frequency On an oscilloscope, this signal would look like a fuzzy sine wave, indicating that it is ac, although it contains a potpourri of minor components..

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an ac wave are the same. But sometimes they differ. Figure 9-9 is an example of a wave in which the positive peak amplitude is the same as the negative peak amplitude. Figure 9-10 is an illustration of a wave that has different positive and negative peak amplitudes.

Engineers break the ac cycle down into small parts for analysis and reference. One complete cycle can be likened to a single revolution around a circle.

Web surfing during which the bulk of the traffic travels in the downstream direction anyway. Although cable modems do speed up access to the Web and other online services by several orders of magnitude, a number of downsides must be considered. The greatest concern that has been voiced about cable modems is security. Because cable modems are always on, they represent an easy entry point for hackers looking to break into machines. It is therefore critical that cable subscribers use some form of firewall software or a router that has the capability to perform filtering.

One method of specifying the phase of an ac cycle is to divide it into 360 equal parts, called degrees or degrees of phase. The value 0 degrees is assigned to the point in the cycle where the magnitude is 0 and positive-going. The same point on the next cycle is given the value 360 degrees. Then halfway through the cycle is 180 degrees; a quarter cycle is 90 degrees, and so on. This is illustrated in Fig. 9-9.

Peak-to-Peak Amplitude The peak-to-peak (pk-pk) amplitude of a wave is the net difference between the positive peak amplitude and the negative peak amplitude (Fig. 9-11). The peak-to-peak amplitude is equal to the positive peak amplitude plus the negative peak amplitude. When the positive and negative peak amplitudes of an ac wave are equal, the peak-to-peak amplitude is exactly twice the peak amplitude.

The other method of specifying phase is to divide the cycle into 6.28 equal parts. This is approximately the number of radii of a circle that can be laid end-to-end around the circumference. A radian of phase is equal to about 57.3 degrees. This unit of phase is something you won t often be needing to use, because it s more common among physicists than among engineers. Sometimes, the frequency of an ac wave is measured in radians per second, rather than in hertz (cycles per second). Because there are about 6.28 radians in a complete cycle of 360 degrees, the angular frequency of a wave, in radians per second, is equal to about 6.28 times the frequency in hertz.

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