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qr code vb.net source SeriesParallel Circuits in Visual Studio .NET
SeriesParallel Circuits USS Code 128 Decoder In VS .NET Using Barcode Control SDK for .NET Control to generate, create, read, scan barcode image in .NET framework applications. Generating Code 128 Code Set B In VS .NET Using Barcode drawer for .NET framework Control to generate, create Code 128A image in Visual Studio .NET applications. Seriesparallel circuits, also called networks, consist of individual groups of series and parallel resistors. Such circuits, as long as they consist only of individual groups of series and parallel resistances, can always be reduced to a single equivalent resistance. Consider, as an example, the seriesparallel circuit shown in Fig. 31, in which we wish to nd the battery current I. It is given that the battery voltage is constant 45 volts, and the resistance values are in ohms. Decode Code 128B In VS .NET Using Barcode scanner for .NET Control to read, scan read, scan image in Visual Studio .NET applications. Bar Code Generator In .NET Framework Using Barcode maker for Visual Studio .NET Control to generate, create bar code image in .NET framework applications. Fig. 31
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USS Code 128 Generation In .NET Framework Using Barcode maker for .NET framework Control to generate, create USS Code 128 image in .NET framework applications. Leitcode Creator In Visual Studio .NET Using Barcode encoder for .NET Control to generate, create Leitcode image in VS .NET applications. Fig. 33
UCC  12 Generation In ObjectiveC Using Barcode generator for iPhone Control to generate, create GTIN  128 image in iPhone applications. Code 128 Code Set A Generator In VS .NET Using Barcode printer for ASP.NET Control to generate, create USS Code 128 image in ASP.NET applications. Since the circuit of Fig. 32 is now a purely series circuit (section 2.5) we have that the original circuit of Fig. 31 reduces to a single equivalent resistance of 15 ohms, as shown in Fig. 33. Hence, by Ohm s law, eq. (11), the battery current I is equal to I V=RT 45=15 3 amperes; answer: Problem 20 A battery of constant 36 volts is connected to the seriesparallel circuit in Fig. 34. Resistance values are in ohms. Code 128 Code Set C Maker In ObjectiveC Using Barcode creator for iPhone Control to generate, create Code 128 Code Set C image in iPhone applications. Make UCC128 In VS .NET Using Barcode generator for Reporting Service Control to generate, create EAN 128 image in Reporting Service applications. Fig. 34
Decode Data Matrix In None Using Barcode scanner for Software Control to read, scan read, scan image in Software applications. Paint Barcode In None Using Barcode creator for Office Excel Control to generate, create bar code image in Office Excel applications. In the gure, let it be required to nd: (a) (b) (c) battery current I, power output of battery, current in 6ohm resistor. ECC200 Generator In VS .NET Using Barcode maker for Reporting Service Control to generate, create Data Matrix 2d barcode image in Reporting Service applications. Data Matrix ECC200 Generation In Java Using Barcode generation for Java Control to generate, create ECC200 image in Java applications. Problem 21 A battery of constant 24 volts is applied to the seriesparallel network shown below. Resistance values in ohms. Find the battery current. (Answer: 2.97497 amps) CHAPTER 2 Electric Current. Ohm s Law
Problem 22 Given the seriesparallel network as follows, resistance values in ohms, nd: (a) (b) potential of point x with respect to ground, potential of point y with respect to ground.
Problem 23 What value of resistance must be connected in parallel with a 36ohm resistor if the parallel combination is to be equivalent to a single 20ohm resistor * The term ground is often used to denote a common reference point or reference line in a network. Such a ground may or may not be connected to an actual earth ground. Determinants and Simultaneous Equations
3.1 Introduction to Determinants
The purpose of this chapter is to prepare us for future work in the writing and solution of network equations. We ll nd that network analysis produces systems of simultaneous equations, and such systems are most conveniently handled by making use of what are called determinants. The study of determinants is not basically di cult, but it will call for close attention to details on your part. The results, however, will be well worth the time and e ort you put into it. Let us begin with some de nitions, as follows. A determinant is a square array of numbers, or letters used to represent numbers, placed between two vertical bars. The numbers or letters are arranged in horizontal rows and vertical columns. An example of what a determinant looks like is shown in Fig. 35. Notice that the rows are numbered from the top down, and the columns from left to right. Fig. 35
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CHAPTER 3 Determinants and Equations
Each number or letter in a determinant is called an element of the determinant. Since a determinant is always a square array of elements, the number of rows is always the same as the number of columns. Note that all rows and columns have the same number of elements. A determinant is classi ed according to the number of rows (or columns) it has. The determinant in Fig. 35 is thus a fourthorder determinant, because it has four rows (and also, of course, four columns). A determinant has a value equal to a single number. For instance, later on we ll be able to show that for the determinant of Fig. 35, D 312. The location of an element in a determinant will always be speci ed by giving FIRST the number of the ROW and THEN the number of the COLUMN it is located in. For example, the location of the element 4 in Fig. 35 would be given as (4,1), meaning it is located at the intersection of the fourth row and the rst column. As another example, the location of the element 6 would be speci ed as (3,4), meaning at the intersection of the third row and the fourth column. Many of our discussions will be easier to follow if we represent the elements of a determinant by a letter with subscripts. The system of notation used is illustrated by the fourthorder determinant of Fig. 36. This gure illustrates how subscripts are used to identify the location of the elements in a determinant.

