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qr code vb.net free Sinusoidal Analysis of Magnetically Coupled Circuits in VS .NET
Sinusoidal Analysis of Magnetically Coupled Circuits ANSI/AIM Code 128 Decoder In Visual Studio .NET Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in .NET applications. Making Code128 In VS .NET Using Barcode creator for .NET framework Control to generate, create USS Code 128 image in Visual Studio .NET applications. As we know, sinusoidal rms values of voltages and currents of the same frequency can be regarded as vector quantities, and thus can be represented and manipulated in the form of complex numbers. " With this in mind, let a sinusoidal voltage of V volts rms be applied to the basic transformercoupled circuit of Fig. 222, thus producing primary and secondary currents " " of I1 and I2 amperes rms, as shown. We now wish to derive formulas that will, given the " " circuit constants, enable us to calculate the values of I1 and I2 . Scan Code 128 In VS .NET Using Barcode recognizer for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications. Generate Bar Code In VS .NET Using Barcode generator for .NET framework Control to generate, create bar code image in Visual Studio .NET applications. Fig. 222
Recognizing Barcode In VS .NET Using Barcode reader for VS .NET Control to read, scan read, scan image in VS .NET applications. Code128 Printer In Visual C# Using Barcode creation for .NET framework Control to generate, create Code128 image in Visual Studio .NET applications. In Fig. 222, L1 is the inductance of the primary coil considered by itself, L2 is the inductance of the secondary coil considered by itself, and M is the mutual inductance " between the two coils. Also, Za partial impedance of primary circuit. This includes any internal impedance of the generator and any resistance L1 may have, but does not include the inductive reactance !L1 of the primary coil, as can be seen from Fig. 222. Similarly, " Zb partial impedance of secondary circuit, including any resistance the secondary coil " may have. Thus Zb includes everything around the secondary loop except the inductive reactance !L2 of the secondary coil. Code 128B Creator In Visual Studio .NET Using Barcode printer for ASP.NET Control to generate, create USS Code 128 image in ASP.NET applications. Making Code128 In VB.NET Using Barcode creation for VS .NET Control to generate, create USS Code 128 image in Visual Studio .NET applications. CHAPTER 10 Magnetic Coupling. Transformers
EAN13 Supplement 5 Drawer In .NET Framework Using Barcode encoder for .NET framework Control to generate, create EAN / UCC  13 image in Visual Studio .NET applications. ECC200 Maker In .NET Framework Using Barcode generator for Visual Studio .NET Control to generate, create Data Matrix 2d barcode image in .NET applications. Let us now write the voltage equations for Fig. 222, beginning with the voltage equation around the PRIMARY circuit. To do this, note that there are three voltage drops " " around the primary loop, the rst being Za I1 , with the other two being induced voltage drops given by eq. (378). Since the vector sum of these three voltage drops is equal to the " applied voltage V , the voltage equation around the primary loop is " " " " Za j!L1 I1 j!M I2 V 380 Making Barcode In VS .NET Using Barcode generation for VS .NET Control to generate, create barcode image in VS .NET applications. Universal Product Code Version E Encoder In .NET Using Barcode generator for .NET framework Control to generate, create UPC  E1 image in .NET applications. Next, there are likewise three voltage drops around the SECONDARY loop, one being " " Zb I2 , the other two being induced voltage drops given by eq. (379). Since there is no independent generator included in the secondary loop, the vector sum of these three drops has to be equal to zero, and thus the voltage equation around the secondary loop is " " " j!M I1 Zb j!L2 I2 0 Now let " " Z1 Za j!L1 " " Z2 Zb j!L2 382 383 381 UPCA Supplement 2 Printer In None Using Barcode creation for Office Excel Control to generate, create UPCA Supplement 5 image in Excel applications. USS Code 128 Decoder In .NET Framework Using Barcode scanner for VS .NET Control to read, scan read, scan image in Visual Studio .NET applications. " where it should be very carefully noted that Z1 the total series impedance AROUND THE COMPLETE PRIMARY CIRCUIT, considered by itself, just as if the secondary " circuit did not exist; similarly, Z2 the total series impedance AROUND THE COMPLETE SECONDARY CIRCUIT, considered by itself, just as if the primary circuit did not exist. Now, in eqs. (380) and (381), replace the coe cients of the unknown currents with the lefthand sides of eqs. (382) and (383). If we do this, eqs. (380) and (381) become our FUNDAMENTAL EQUATIONS FOR THE BASIC TRANSFORMERCOUPLED CIRCUIT OF FIG. 222; thus " " " " Z1 I1 j!M I2 V " " j!M I1 Z2 I2 0 384 385 Code128 Generator In .NET Using Barcode encoder for Reporting Service Control to generate, create Code 128 Code Set C image in Reporting Service applications. Encode UPC A In VS .NET Using Barcode maker for Reporting Service Control to generate, create UPC Symbol image in Reporting Service applications. " We can now solve the above two equations for the primary current I1 as follows: " V j!M 0 "" " V Z2 Z2 " I1 " " " Z1 j!M Z1 Z2 !2 M 2 j!M "2 Z " Or, upon dividing the numerator and denominator of the last fraction by Z2 , the equation for the PRIMARY CURRENT takes the form " I1 " V !2 M 2 " Z1 " Z2 386 Drawing GS1  13 In Java Using Barcode generator for Java Control to generate, create European Article Number 13 image in Java applications. Generating Barcode In None Using Barcode generator for Excel Control to generate, create barcode image in Office Excel applications. Note that the denominator in the above equation is the total impedance seen by the " generator in Fig. 222. Hence, since Z1 is the impedance of the primary circuit considered by itself, it follows that the second term in the denominator is the impedance coupled or " re ected from the secondary circuit into the primary circuit. Thus, letting Zref denote this re ected impedance, we have !2 M 2 " Zref " Z2 387 Data Matrix Maker In Java Using Barcode encoder for Java Control to generate, create Data Matrix 2d barcode image in Java applications. Draw GS1  13 In None Using Barcode creation for Font Control to generate, create EAN13 image in Font applications. 
