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barcode reader vb.net codeproject V = v1 + v2 + v3 in Software
15 V = v1 + v2 + v3 Decoding QR In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. QR Code ISO/IEC18004 Creator In None Using Barcode generation for Software Control to generate, create QR image in Software applications. and since, according to Ohm s law, the separate voltages can be expressed by the relations v1 = iR1 v2 = iR2 v3 = iR3 Recognize QRCode In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Encoding QR Code In C# Using Barcode printer for Visual Studio .NET Control to generate, create QR Code image in Visual Studio .NET applications. R2 R1
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UPCA Supplement 5 Creation In None Using Barcode drawer for Software Control to generate, create UPCA Supplement 5 image in Software applications. ANSI/AIM Code 39 Printer In None Using Barcode maker for Software Control to generate, create Code 39 Extended image in Software applications. (219) ISSN  10 Maker In None Using Barcode generator for Software Control to generate, create ISSN  13 image in Software applications. Create Matrix 2D Barcode In .NET Using Barcode creation for Visual Studio .NET Control to generate, create 2D Barcode image in VS .NET applications. which is also illustrated in Figure 230 A concept very closely tied to series resistors is that of the voltage divider This terminology originates from the observation that the source voltage in the circuit of Figure 230 divides among the three resistors according to KVL If we now observe that the series current, i, is given by i= 15 V 15 V = REQ R1 + R 2 + R 3 Making EAN / UCC  13 In VB.NET Using Barcode drawer for VS .NET Control to generate, create UCC.EAN  128 image in .NET framework applications. Barcode Recognizer In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. Part I
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Data Matrix ECC200 Generation In None Using Barcode creator for Font Control to generate, create Data Matrix 2d barcode image in Font applications. Data Matrix 2d Barcode Creation In ObjectiveC Using Barcode generator for iPhone Control to generate, create DataMatrix image in iPhone applications. we can write each of the voltages across the resistors as: R1 (15 V) v1 = iR1 = REQ v2 = iR2 = v3 = iR3 = That is: R2 (15 V) REQ R3 (15 V) REQ The voltage across each resistor in a series circuit is directly proportional to the ratio of its resistance to the total series resistance of the circuit An instructive exercise consists of verifying that KVL is still satis ed, by adding the voltage drops around the circuit and equating their sum to the source voltage: R1 R2 R3 v1 + v 2 + v 3 = (15 V) + (15 V) + (15 V) = 15 V REQ REQ REQ since REQ = R1 + R2 + R3 Therefore, since KVL is satis ed, we are certain that the voltage divider rule is consistent with Kirchhoff s laws By virtue of the voltage divider rule, then, we can always determine the proportion in which voltage drops are distributed around a circuit This result will be useful in reducing complicated circuits to simpler forms The general form of the voltage divider rule for a circuit with N series resistors and a voltage source is: Rn vS R1 + R 2 + + R n + + R N vn =
Voltage divider
(220) EXAMPLE 28 Voltage Divider
Problem
Determine the voltage v3 in the circuit of Figure 231
+ v3 +
VS + R1 i R2 v2 R3 v1 +
Solution
Known Quantities: Source voltage, resistance values Find: Unknown voltage v3
VS = 3 V Figure 231
Schematics, Diagrams, Circuits, and Given Data: R1 = 10 ; R2 = 6 ; R3 = 8 ; 2
Fundamentals of Electric Circuits
Analysis: Figure 231 indicates a reference direction for the current (dictated by the
polarity of the voltage source) Following the passive sign convention, we label the polarities of the three resistors, and apply KVL to determine that VS v1 v2 v3 = 0 The voltage divider rule tells us that v3 = VS R3 8 =1V =3 R1 + R2 + R3 10 + 6 + 8 Comments: Application of the voltage divider rule to a series circuit is very
straightforward The dif culty usually arises in determining whether a circuit is in fact a series circuit This point is explored later in this section, and in Example 210 Focus on ComputerAided Tools: The simple voltagedivider circuit introduced in this
example provides an excellent introduction to the capabilities of the Electronics Workbench, or EWBTM , a computeraided tool for solving electrical and electronic circuits You will nd the EWBTM version of the circuit of Figure 231 in the electronic les that accompany this book in CDROM format This simple example may serve as a workbench to practice your own skills in constructing circuits using Electronics Workbench Parallel Resistors and the Current Divider Rule A concept analogous to that of the voltage divider may be developed by applying Kirchhoff s current law to a circuit containing only parallel resistances De nition Two or more circuit elements are said to be in parallel if the identical voltage appears across each of the elements Figure 232 illustrates the notion of parallel resistors connected to an ideal current source Kirchhoff s current law requires that the sum of the currents into, say, the top node of the circuit be zero: iS = i1 + i2 + i3 KCL applied at this node + i1 iS R1 i2 R2 i3 R3 v The voltage v appears across each parallel element; by KCL, iS = i1 + i2 + i3 R1 R2 R3 Rn RN REQ N resistors in parallel are equivalent to a single equivalent resistor with resistance equal to the inverse of the sum of the inverse resistances

