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display barcode in ssrs report CIRCUIT ANALYSIS: PORT POINT OF VIEW in Software
CIRCUIT ANALYSIS: PORT POINT OF VIEW Reading Code39 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Code 39 Maker In None Using Barcode printer for Software Control to generate, create Code39 image in Software applications. [CHAP. 1
Code 39 Recognizer In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Code 39 Full ASCII Encoder In Visual C# Using Barcode creator for .NET Control to generate, create Code39 image in .NET applications. The Norton admittance is found from the result of Example 1.3 as YN 1 1 0:2 S ZTh 5
USS Code 39 Maker In .NET Using Barcode drawer for ASP.NET Control to generate, create Code 39 Full ASCII image in ASP.NET applications. Making Code39 In .NET Framework Using Barcode generation for VS .NET Control to generate, create Code 3/9 image in .NET applications. We shall sometimes doublesubscript voltages and currents to show the terminals that are of interest. Thus, V13 is the voltage across terminals 1 and 3, where terminal 1 is at a higher potential than terminal 3. Similarly, I13 is the current that ows from terminal 1 to terminal 3. As an example, VL in Fig. 16(a) could be labeled V12 (but not V21 ). Note also that an active element (either independent or controlled) is restricted to its assigned, or stated, current or voltage, no matter what is involved in the rest of the circuit. Thus the controlled source in Fig. 16(a) will provide VL A no matter what voltage is required to do so and no matter what changes take place in other parts of the circuit. Generate Code 39 In Visual Basic .NET Using Barcode creation for .NET Control to generate, create Code39 image in .NET framework applications. USS128 Printer In None Using Barcode creator for Software Control to generate, create GS1128 image in Software applications. TWOPORT NETWORKS
Draw Data Matrix ECC200 In None Using Barcode encoder for Software Control to generate, create Data Matrix image in Software applications. Barcode Printer In None Using Barcode drawer for Software Control to generate, create bar code image in Software applications. The network of Fig. 18 is a twoport network if I1 I10 and I2 I20 . It can be characterized by the four variables V1 ; V2 ; I1 , and I2 , only two of which can be independent. If V1 and V2 are taken as independent variables and the linear network contains no independent sources, the independent and dependent variables are related by the opencircuit impedance parameters (or, simply, the z parameters) z11 ; z12 ; z21 ; and z22 through the equation set V1 z11 I1 z12 I2 V2 z21 I1 z22 I2 Encode EAN / UCC  13 In None Using Barcode printer for Software Control to generate, create UPC  13 image in Software applications. Print Bar Code In None Using Barcode encoder for Software Control to generate, create bar code image in Software applications. I1 1 + V1 _ I1 Linear network I2 I2 + V2 _ 2 Printing MSI Plessey In None Using Barcode creator for Software Control to generate, create MSI Plessey image in Software applications. Code 128 Generator In None Using Barcode generator for Font Control to generate, create ANSI/AIM Code 128 image in Font applications. 1:8 1:9 Code 39 Encoder In C# Using Barcode creation for Visual Studio .NET Control to generate, create Code 39 image in Visual Studio .NET applications. Bar Code Drawer In ObjectiveC Using Barcode drawer for iPhone Control to generate, create bar code image in iPhone applications. Fig. 18 Encoding Bar Code In None Using Barcode generation for Excel Control to generate, create barcode image in Office Excel applications. Read Bar Code In Visual C#.NET Using Barcode decoder for .NET Control to read, scan read, scan image in .NET framework applications. Each of the z parameters can be evaluated by setting the proper current to zero (or, equivalently, by opencircuiting an appropriate port of the network). They are V z11 1 1:10 I1 I2 0 V z12 1 1:11 I2 I1 0 V z21 2 1:12 I1 I2 0 V z22 2 1:13 I Bar Code Printer In .NET Framework Using Barcode generation for ASP.NET Control to generate, create bar code image in ASP.NET applications. Scanning Universal Product Code Version A In Visual Basic .NET Using Barcode recognizer for .NET Control to read, scan read, scan image in .NET framework applications. 2 I1 0 In a similar manner, if V1 and I2 are taken as the independent variables, a characterization of the twoport network via the hybrid parameters (or, simply, the hparameters) results: V1 h11 I1 h12 V2 I2 h21 I1 h22 V2 1:14 1:15 CHAP. 1] CIRCUIT ANALYSIS: PORT POINT OF VIEW
Two of the h parameters are determined by shortcircuiting port 2, while the remaining two parameters are found by opencircuiting port 1: V1 h11 1:16 I1 V2 0 V h12 1 1:17 V 2 I1 0 h21 h22
I2 I1 V2 0 I 2 V
1:18 1:19 2 I1 0 Example 1.7. Find the z parameters for the twoport network of Fig. 19. With port 2 (on the right) opencircuited, I2 0 and the use of (1.10) gives V R R R3 R1 k R2 R3 1 2 z11 1 R1 R2 R3 I1 I2 0 I1 + V1 _ R1 R2 I2 + V2 _ Fig. 19 Also, the current IR2 owing downward through R2 is, by current division, IR2 But, by Ohm s law, V2 IR2 R2 Hence, by (1.12), z21 V2 R1 R2 I1 I2 0 R1 R2 R3 R1 R2 I R1 R2 R3 1 R1 I R1 R2 R3 1 Similarly, with port 1 opencircuited, I1 0 and (1.13) leads to V R R R3 R2 k R1 R3 2 1 z22 2 R1 R2 R3 I2 I1 0 The use of current division to nd the current downward through R1 yields IR1 and Ohm s law gives V1 R1 IR1 R1 R2 I R1 R2 R3 2 R2 I R1 R2 R3 2 CIRCUIT ANALYSIS: PORT POINT OF VIEW
[CHAP. 1
Thus, by (1.11), z12 V1 R1 R2 I2 I1 0 R1 R2 R3
Example 1.8. Find the h parameters for the twoport network of Fig. 19. With port 2 shortcircuited, V2 0 and, by (1.16), V R1 R3 h11 1 R1 kR3 I1 V2 0 R1 R3 By current division, I2 so that, by (1.18), h21 I2 R1 I1 V2 0 R1 R3 R1 I R1 R3 1 If port 1 is opencircuited, voltage division and (1.17) lead to V1 and h12 R1 V R1 R3 2 V R1 1 V2 I1 0 R1 R3 Finally, h22 is the admittance looking into port 2, as given by (1.19): h22 I2 1 R R2 R3 1 V2 I1 0 R2 k R1 R3 R2 R1 R3 The z parameters and the h parameters can be numerically evaluated by SPICE methods. In electronics applications, the z and h parameters nd application in analysis when small ac signals are impressed on circuits that exhibit limitedrange linearity. Thus, in general, the test sources in the SPICE analysis should be of magnitudes comparable to the impressed signals of the anticipated application. Typically, the devices used in an electronic circuit will have one or more dc sources connected to bias or that place the device at a favorable point of operation. The input and output ports may be coupled by large capacitors that act to block the appearance of any dc voltages at the input and output ports while presenting negligible impedance to ac signals. Further, electronic circuits are usually frequencysensitive so that any set of z or h parameters is valid for a particular frequency. Any SPICEbased evaluation of the z and h parameters should be capable of addressing the above outlined characteristics of electronic circuits. Example 1.9. For the frequencysensitive twoport network of Fig. 110(a), use SPICE methods to determine the z parameters suitable for use with sinusoidal excitation over a frequency range from 1 kHz to 10 kHz. The z parameters as given by (1.10) to (1.13), when evaluated for sinusoidal steadystate conditions, are formed as the ratios of phasor voltages and currents. Consequently, the values of the z parameters are complex numbers that can be represented in polar form as zij zij ij . For determination of the z parameters, matching terminals of the two sinusoidal current sources of Fig. 110(b) are connected to the network under test of Fig. 110(a). The netlist code below models the resulting network with parameterassigned values for I"1 and I"5 . Two separate executions of <Ex1_9.CIR> are required to determine all four z parameters. The .AC statement speci es a sinusoidal steadystate solution of the circuit for 11 values of frequency over the range from 10 kHz to 100 kHz. CHAP. 1]

