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qr code vb.net source Basic Network Laws and Theorems in .NET
CHAPTER 4 Basic Network Laws and Theorems Scan Code 128C In VS .NET Using Barcode Control SDK for .NET framework Control to generate, create, read, scan barcode image in Visual Studio .NET applications. Code 128B Generator In .NET Using Barcode creator for .NET Control to generate, create Code128 image in Visual Studio .NET applications. Notice that our generator delivers an almost constant current of 10 amperes, regardless of whether it works into a load of zero ohms or one million ohms. We thus see that a true constantcurrent generator is a theoretical device having in nitely great generated voltage but in nitely great internal resistance, the ratio of the two being equal to a nite constant current. The symbol for a constantcurrent generator is shown below, where I is the value of the constant current, the arrow designating the direction of positive current. Decoding USS Code 128 In .NET Using Barcode recognizer for VS .NET Control to read, scan read, scan image in Visual Studio .NET applications. Bar Code Generator In .NET Using Barcode printer for Visual Studio .NET Control to generate, create barcode image in .NET framework applications. Let us now return to the twoterminal network inside the box of Fig. 58, to which a load resistance RL can be connected, and take up the details of Norton s theorem. Norton s theorem is expressed in terms of the shortcircuit current delivered by the network, and in terms of conductances instead of resistances. This makes Norton s theorem especially useful in the study of parallel circuits. The statement of Norton s theorem is as follows, after which we ll give the proof of the statement. The current in any load conductance GL , when connected to two terminals of a network, is the same as if GL were connected to a constantcurrent generator whose constant current is equal to the current that ows between the two terminals when they are shortcircuited together, this constantcurrent generator then being put in parallel with a conductance equal to the conductance seen looking back into the opencircuited terminals of the network. (In this last step, all generators are removed and replaced with conductances equal to their internal conductances.) Norton s theorem is summarized graphically in Fig. 60, where Isc is the shortcircuit current that ows from the network when terminals a, b are shorted together. Gg is the conductance seen looking back into the network with the terminals opencircuited, that is, with the switch open. Gg is the reciprocal of Rg in Thevenin s theorem. Reading Bar Code In Visual Studio .NET Using Barcode recognizer for .NET Control to read, scan read, scan image in Visual Studio .NET applications. Code 128 Code Set B Encoder In C# Using Barcode printer for VS .NET Control to generate, create Code 128 Code Set B image in .NET applications. Fig. 60
Encoding Code 128A In .NET Using Barcode maker for ASP.NET Control to generate, create Code128 image in ASP.NET applications. Creating Code 128A In VB.NET Using Barcode creation for .NET Control to generate, create Code 128A image in .NET framework applications. The truth of Norton s theorem can be shown as follows. Let any twoterminal network be inside the box of Fig. 58. We know that, as far as the external load resistance RL is concerned, the network inside the box can be replaced with the Thevenin equivalent Matrix Barcode Maker In .NET Framework Using Barcode encoder for .NET framework Control to generate, create 2D Barcode image in VS .NET applications. Creating Bar Code In VS .NET Using Barcode creation for .NET Control to generate, create barcode image in VS .NET applications. CHAPTER 4 Basic Network Laws and Theorems
Drawing DataMatrix In .NET Using Barcode generator for Visual Studio .NET Control to generate, create DataMatrix image in .NET applications. Creating Identcode In VS .NET Using Barcode creator for .NET Control to generate, create Identcode image in .NET framework applications. generator of Fig. 57, where, by inspection of Fig. 57, we have IL Vg Rg RL 65
Universal Product Code Version A Reader In C# Using Barcode decoder for .NET Control to read, scan read, scan image in .NET applications. EAN13 Generation In None Using Barcode encoder for Font Control to generate, create GTIN  13 image in Font applications. Now put a shortcircuit (a copper wire) between terminals a, b in Fig. 57. The shortcircuit current owing between the terminals is then (since RL 0 for this condition) Isc Vg Rg Bar Code Reader In .NET Framework Using Barcode decoder for .NET Control to read, scan read, scan image in .NET framework applications. Matrix Barcode Creator In Visual Basic .NET Using Barcode creation for .NET framework Control to generate, create 2D Barcode image in .NET applications. Now put this value of Vg , Vg Isc Rg , into eq. (65), then multiply both sides by RL . Since RL IL the voltage across the load VL , we get Rg RL VL Isc Rg RL Now multiply the numerator and denominator of the last fraction by 1=Rg RL . Then, by the de nition of conductance (eq. (58)), the last equation becomes VL Isc Gg GL 66 Recognize UCC  12 In Visual C# Using Barcode recognizer for .NET Control to read, scan read, scan image in VS .NET applications. Code 128 Encoder In Java Using Barcode generator for Java Control to generate, create Code 128 Code Set A image in Java applications. We now know that eq. (66) is the correct equation for the voltage VL appearing across the load. With this in mind, turn now to the proposed equivalent circuit of Fig. 60. Remembering that conductances in parallel add together like resistances in series (eq. (61)), and also remembering the basic relation, I GV (eq. (59)), we have, for Fig. 60, Isc Gg GL VL , so that VL Isc Gg GL Linear Creator In VB.NET Using Barcode creation for .NET Control to generate, create Linear 1D Barcode image in .NET applications. Code 39 Extended Generation In .NET Framework Using Barcode encoder for Reporting Service Control to generate, create Code 3/9 image in Reporting Service applications. Since the last equation is the same as eq. (66), it follows that Figs. 57 and 60 produce completely equal results as far as any external load is concerned, and therefore either can be used. TO SUMMARIZE: Any twoterminal network consisting of generators and linear* bilateral* resistances can be replaced as far as an external load connected to the two terminals is concerned by either a Thevenin generator (Fig. 57) or a Norton generator (Fig. 60). If the external load consists of multiple parallel branches, it will generally be more convenient to use the Norton generator. Problem 57 In Fig. 60, let IL denote the value of the current that would ow in the load conductance GL if the switch were closed. Now, by making use of the basic relationship I GV (eq. (59)), show that IL GL Isc Gg GL 67 * Recall that a resistance is linear if its value is independent of the amount of voltage applied to it or the amount of current owing in it. It is bilateral if current is able to ow through it equally well in both directions.

