barcode in vb.net 2005 Characteristic impedance in Software

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Characteristic impedance
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There is one property of electronic components that you ll sometimes hear called impedance, that really isn t impedance at all. This is characteristic impedance or surge
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Characteristic impedance 273
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15-7 Vectors representing an absolute value impedance of 8 .
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impedance. It is abbreviated Zo, and is a specification of transmission lines. It can always be expressed as a positive real number.
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Transmission lines
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Any time that it is necessary to get energy or signals from one place to another, a transmission line is required. These almost always take either of two forms, coaxial or two wire. These are illustrated qualitatively in Fig. 15-8. Examples of transmission lines include the ribbon that goes from a television antenna to the receiver, the cable running from a hi-fi amplifier to the speakers, and the set of wires that carries electricity over the countryside.
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Factors affecting Zo
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The Zoh of a parallel-wire transmission line depends on the diameter of the wires, on the spacing between the wires, and on the nature of the insulating material separating the wires.
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274 Impedance and admittance
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15-8 At A, coaxial transmission line. At B, parallel-wire transmission line.
In general, Zo increases as the wire diameter gets smaller, and decreases as the wire diameter gets larger, all other things being equal. In a coaxial line, the thicker the center conductor, the lower the Zo if the shield stays the same size. If the center conductor stays the same size and the shield tubing increases in diameter, the Zo will increase. Also in general, Zo increases as the spacing between wires, or between the center conductor and the shield or braid, gets greater, and decreases as the spacing is made less. Solid dielectrics such as polyethylene reduce the Zo of a transmission line, compared with air or a vacuum between the conductors.
Z in practice
In rigorous terms, the characteristic impedance of a line is determined according to the nature of the load with which the line works at highest efficiency. Suppose that you have an 8- hi-fi speaker, and you want to get audio energy to that speaker with the greatest possible efficiency, so that the least possible power is dissipated in the line. You would use large-diameter wires, of course, but for true optimization, you would want the spacing between the wires to be just right. Adjusting this spacing for optimum power transfer would result in a line Zo of 8 . Then, the greatest possible efficiency would be had with a speaker of impedance 8 j0. f you can t get the wires to have the right size and spacing for a good match to Z 8 , you might need to use an impedance transformer. This makes the speaker s impedance look like something different, such as 50 or 600 .
Susceptance 275 Imagine that you have a 300- television antenna, and you want the best possible reception. You purchase 300- ribbon line, with a value of Zo that has been optimized by the manufacturer for use with antennas whose impedances are close to 300 j0. For a system having an impedance of R , the best line Zo is also R . If R is much different from Zo, an unnecessary amount of power will be wasted in heating up the transmission line. This might not be a significant amount of power, but it often is. Impedance matching will be discussed in more detail in the next chapter.
Conductance
In an ac circuit, electrical conductance works the same way as it does in a dc circuit. Conductance is symbolized by the capital letter G. It was introduced back in chapter 2. The relationship between conductance and resistance is simple: G 1/R. The unit is the siemens. The larger the value of conductance, the smaller the resistance, and the more current will flow. Conversely, the smaller the value of G, the greater the value of R, and the less current will flow.
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