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.net barcode reader library VSWRdB = 20 log (VSWR) = 20 log (20) = (20) (0510) = 102 dB in Software
VSWRdB = 20 log (VSWR) = 20 log (20) = (20) (0510) = 102 dB DataMatrix Scanner In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Data Matrix 2d Barcode Maker In None Using Barcode creation for Software Control to generate, create Data Matrix 2d barcode image in Software applications. [427] [428] [429] Read Data Matrix ECC200 In None Using Barcode reader for Software Control to read, scan read, scan image in Software applications. DataMatrix Maker In C# Using Barcode creation for VS .NET Control to generate, create DataMatrix image in .NET applications. These points are plotted at C in Fig 45 Shortly, you will work an example to show how these factors are calculated in a transmission line problem from a known complex load impedance Transmission loss is a measure of the oneway loss of power in a transmission line because of reflection from the load Return loss represents the twoway loss, so it is exactly twice the transmission loss Return loss is found from Lossret = 10 log ( pwr ) and, for our example in which pwr = 028, Lossret = 10 log (028) = (10) ( 0553) = 553 dB [431] [432] [430] Data Matrix Creation In .NET Using Barcode maker for ASP.NET Control to generate, create Data Matrix ECC200 image in ASP.NET applications. Making ECC200 In VS .NET Using Barcode creation for VS .NET Control to generate, create Data Matrix ECC200 image in .NET applications. Smith chart applications 109 This point is shown as D in Fig 45 The transmission loss coefficient can be calculated from TLC = or, for our example, TLC = 1 + (028) 1 (028) 128 = 178 072 [434] 1 + pwr 1 pwr [433] Data Matrix Maker In Visual Basic .NET Using Barcode generation for Visual Studio .NET Control to generate, create ECC200 image in Visual Studio .NET applications. Make Barcode In None Using Barcode creation for Software Control to generate, create bar code image in Software applications. [435] Encode Data Matrix In None Using Barcode creator for Software Control to generate, create Data Matrix ECC200 image in Software applications. Printing GS1128 In None Using Barcode generator for Software Control to generate, create EAN / UCC  13 image in Software applications. The TLC is a correction factor that is used to calculate the attenuation caused by mismatched impedance in a lossy, as opposed to the ideal lossless, line The TLC is found from laying out the impedance radius on the loss coefficient scale on the radially scaled parameters at the bottom of the chart Create GTIN  13 In None Using Barcode generation for Software Control to generate, create GTIN  13 image in Software applications. Make Code 128 In None Using Barcode encoder for Software Control to generate, create Code 128 Code Set C image in Software applications. Smith chart applications
2 Of 5 Standard Drawer In None Using Barcode printer for Software Control to generate, create Code 2 of 5 image in Software applications. Scan Barcode In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. One of the best ways to demonstrate the usefulness of the Smith chart is by practical example The following sections look at two general cases: transmission line problems and stub matching systems Drawing EAN 13 In Visual Basic .NET Using Barcode creator for .NET Control to generate, create EAN13 image in Visual Studio .NET applications. Creating Code 3/9 In Visual Studio .NET Using Barcode generation for ASP.NET Control to generate, create Code 39 image in ASP.NET applications. Transmission line problems
Generate EAN / UCC  13 In ObjectiveC Using Barcode creator for iPad Control to generate, create EAN / UCC  13 image in iPad applications. EAN13 Creator In Visual C#.NET Using Barcode generation for Visual Studio .NET Control to generate, create UPC  13 image in .NET framework applications. Figure 46 shows a 50 transmission line connected to a complex load impedance ZL of 36 + j40 The transmission line has a velocity factor v of 080, which means that the wave propagates along the line at 8 10 the speed of light (c = 300,000,000 m/s) The length of the transmission line is 28 cm The generator Vin is operated at a frequency of 45 GHz and produces a power output of 15 W See what you can glean from the Smith chart (Fig 47) First, normalize the load impedance This is done by dividing the load impedance by the systems impedance (in this case, Zo = 50 ): Z= 36 + j40 50 [436] [437] Data Matrix 2d Barcode Generator In None Using Barcode maker for Online Control to generate, create DataMatrix image in Online applications. Drawing Linear 1D Barcode In Visual Studio .NET Using Barcode maker for .NET framework Control to generate, create Linear Barcode image in .NET framework applications. = 072 + j08
The resistive component of impedance Z is located along the 072 pure resistance circle (see Fig 47) Similarly, the reactive component of impedance Z is located by traversing the 072 constant resistance circle until the +j08 constant reactance circle is intersected This point graphically represents the normalized load impedance Z = 072 + j080 A VSWR circle is constructed with an impedance radius equal to the line between 10 (in the center of the chart) and the 072 + j08 point 110 The Smith chart
Zo =50 R ZS =50 I f Zo ZS ZL P 08 28 cm 45 GHz 50 50 36 j40 15 W ZL X j40 36
Vin F 45 GHz
109 Hz
46 Transmission line and load circuit
At a frequency of 45 GHz, the length of a wave propagating in the transmission line, assuming a velocity factor of 080, is line = = cv FHz (3 108 m/s) (080) 45 109 Hz 24 108 m/s 45 109 Hz 100 cm = 53 cm m [438] [439] [440] = 0053 m [441] One wavelength is 53 cm, so a halfwavelength is 53 cm/2, or 265 cm The 28cm line is 28 cm/53 cm, or 528 wavelengths long A line drawn from the center (10) to the load impedance is extended to the outer circle, and it intersects the circle at 01325 Because one complete revolution around this circle represents onehalf wavelength, 528 wavelengths from this point represents 10 revolutions plus 028 more The residual 028 wavelengths is added to 01325 to form a value of (01325 + 028), or 0413 The point 0413 is located on the circle, and is marked A line is then drawn from 0413 to the center of the circle, and it intersects the VSWR circle at 049 j049, which represents the input impedance Zin looking into the line To find the actual impedance represented by the normalized input impedance, you have to denormalize the Smith chart impedance by multiplying the result by Zo:

