 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
Resistive Network Analysis in Software
3 Decode QR Code ISO/IEC18004 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Creating QR Code 2d Barcode In None Using Barcode generation for Software Control to generate, create QR image in Software applications. Resistive Network Analysis
Denso QR Bar Code Reader In None Using Barcode reader for Software Control to read, scan read, scan image in Software applications. Quick Response Code Creation In C# Using Barcode encoder for VS .NET Control to generate, create QR image in .NET applications. familiarity with the techniques illustrated in this chapter will greatly simplify the study of AC circuits in 4 The objective of the chapter is to develop a solid understanding of the following topics: Generating QR Code ISO/IEC18004 In VS .NET Using Barcode printer for ASP.NET Control to generate, create Denso QR Bar Code image in ASP.NET applications. Generating QR Code In .NET Using Barcode drawer for .NET Control to generate, create Quick Response Code image in VS .NET applications. Node voltage and mesh current analysis The principle of superposition Th venin and Norton equivalent circuits e Numerical and graphical (loadline) analysis of nonlinear circuit elements QR Generator In Visual Basic .NET Using Barcode generator for VS .NET Control to generate, create QR Code image in Visual Studio .NET applications. Make UPCA In None Using Barcode drawer for Software Control to generate, create UPCA Supplement 2 image in Software applications. THE NODE VOLTAGE METHOD
European Article Number 13 Encoder In None Using Barcode creator for Software Control to generate, create EAN 13 image in Software applications. Making Barcode In None Using Barcode encoder for Software Control to generate, create barcode image in Software applications. In the node voltage method, we assign the node voltages va and vb; the branch current flowing from a to b is then expressed in terms of these node voltages va vb i= R va R i vb Creating Bar Code In None Using Barcode generator for Software Control to generate, create bar code image in Software applications. Printing EAN / UCC  14 In None Using Barcode drawer for Software Control to generate, create EAN / UCC  13 image in Software applications. Figure 31 Branch current formulation in nodal analysis
Creating ANSI/AIM Codabar In None Using Barcode generator for Software Control to generate, create 2 of 7 Code image in Software applications. Barcode Encoder In ObjectiveC Using Barcode maker for iPad Control to generate, create barcode image in iPad applications. 2 introduced the essential elements of network analysis, paving the way for a systematic treatment of the analysis methods that will be introduced in this chapter You are by now familiar with the application of the three fundamental laws of network analysis: KCL, KVL, and Ohm s law; these will be employed to develop a variety of solution methods that can be applied to linear resistive circuits The material presented in the following sections presumes good understanding of 2 You can resolve many of the doubts and questions that may occasionally arise by reviewing the material presented in the preceding chapter Node voltage analysis is the most general method for the analysis of electrical circuits In this section, its application to linear resistive circuits will be illustrated The node voltage method is based on de ning the voltage at each node as an independent variable One of the nodes is selected as a reference node (usually but not necessarily ground), and each of the other node voltages is referenced to this node Once each node voltage is de ned, Ohm s law may be applied between any two adjacent nodes in order to determine the current owing in each branch In the node voltage method, each branch current is expressed in terms of one or more node voltages; thus, currents do not explicitly enter into the equations Figure 31 illustrates how one de nes branch currents in this method You may recall a similar description given in 2 Once each branch current is de ned in terms of the node voltages, Kirchhoff s current law is applied at each node: i=0 (31) Draw ECC200 In Java Using Barcode generator for Eclipse BIRT Control to generate, create Data Matrix image in BIRT reports applications. Barcode Creation In None Using Barcode maker for Microsoft Word Control to generate, create bar code image in Office Word applications. By KCL: i1 i2 i3 = 0 In the node voltage method, we express KCL by va vb vb vc vb vd =0 R1 R2 R3 Code 39 Full ASCII Printer In None Using Barcode generation for Excel Control to generate, create Code 39 Extended image in Excel applications. Painting UCC  12 In .NET Framework Using Barcode encoder for Reporting Service Control to generate, create UPCA image in Reporting Service applications. R1 i1
Decoding Bar Code In .NET Using Barcode Control SDK for ASP.NET Control to generate, create, read, scan barcode image in ASP.NET applications. Draw Code 128C In .NET Using Barcode printer for Reporting Service Control to generate, create ANSI/AIM Code 128 image in Reporting Service applications. vb i2 R2
R3 i3
Figure 32 Use of KCL in nodal analysis
Figure 32 illustrates this procedure The systematic application of this method to a circuit with n nodes would lead to writing n linear equations However, one of the node voltages is the reference voltage and is therefore already known, since it is usually assumed to be zero (recall that the choice of reference voltage is dictated mostly by convenience, as explained in 2) Thus, we can write n 1 independent linear equations in the n 1 independent variables (the node voltages) Nodal analysis provides the minimum number of equations required to solve the circuit, since any branch voltage or current may be determined from knowledge of nodal voltages At this stage, you might wish to review Example 212, to verify that, indeed, knowledge of the node voltages is suf cient to solve for any other current or voltage in the circuit The nodal analysis method may also be de ned as a sequence of steps, as outlined in the following box: Part I
Circuits
F O C U S O N M E T H O D O L O G Y
Node Voltage Analysis Method 1 Select a reference node (usually ground) All other node voltages will be referenced to this node 2 De ne the remaining n 1 node voltages as the independent variables 3 Apply KCL at each of the n 1 nodes, expressing each current in terms of the adjacent node voltages 4 Solve the linear system of n 1 equations in n 1 unknowns Following the procedure outlined in the box guarantees that the correct solution to a given circuit will be found, provided that the nodes are properly identi ed and KCL is applied consistently As an illustration of the method, consider the circuit shown in Figure 33 The circuit is shown in two different forms to illustrate equivalent graphical representations of the same circuit The bottom circuit leaves no question where the nodes are The direction of current ow is selected arbitrarily (assuming that iS is a positive current) Application of KCL at node a yields: iS i 1 i 2 = 0 whereas, at node b, i2 i 3 = 0 (33) (32)

