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qr code vb.net free Fig. 216. L1 inductance of primary coil; L2 inductance of secondary coil. in .NET framework
Fig. 216. L1 inductance of primary coil; L2 inductance of secondary coil. Code 128 Reader In VS .NET Using Barcode Control SDK for .NET framework Control to generate, create, read, scan barcode image in VS .NET applications. Generating Code128 In Visual Studio .NET Using Barcode maker for VS .NET Control to generate, create Code128 image in .NET framework applications. In the following discussion we ll make use of the principle of superposition, that is, that the COMBINED EFFECT of both currents in Fig. 216 is equal to the SUM OF THE EFFECTS of each current considered separately, as if the other current were absent. Recognizing ANSI/AIM Code 128 In Visual Studio .NET Using Barcode scanner for VS .NET Control to read, scan read, scan image in .NET framework applications. Drawing Bar Code In .NET Using Barcode creator for .NET framework Control to generate, create bar code image in Visual Studio .NET applications. CHAPTER 10 Magnetic Coupling. Transformers
Scan Barcode In Visual Studio .NET Using Barcode decoder for VS .NET Control to read, scan read, scan image in .NET applications. Painting ANSI/AIM Code 128 In Visual C# Using Barcode creator for VS .NET Control to generate, create Code 128 image in .NET framework applications. With this in mind, let us, in Fig. 216, begin by disregarding the e ect of current i2 and considering only the e ect of current i1 ; to do this, let us (as in section 7.5) use the notation di1 rate of change of primary current dt and v2 voltage induced into L2 due to changing primary current Notice that we now have exactly the same situation that we had in section 7.5, that is, we are dealing with an induced voltage caused by a changing current. Thus the mathematical description of the situation will have exactly the same form as eq. (181) in that section, except that now, since we re dealing with the ratio of current change in one coil to the voltage induced in a second coil, we ll write M instead of L to signify this; thus v2 M di1 dt 368 Generate Code 128 Code Set A In .NET Framework Using Barcode creation for ASP.NET Control to generate, create Code 128A image in ASP.NET applications. Code 128 Generator In Visual Basic .NET Using Barcode printer for VS .NET Control to generate, create Code128 image in .NET framework applications. in which M is measured in henrys and is called the MUTUAL INDUCTANCE between the two coils. Or, if we disregard the e ect of i1 and consider only the e ect of i2 , the preceding equation would become di 369 v1 M 2 dt where di2 =dt rate of change of secondary current, and v1 voltage induced into primary coil L1 due to changing secondary current. In the above, it s important to note that the same value of mutual inductance M is used in both equations. This is a signi cant fact that can be proved to be true, both theoretically and by direct experiment. The value of the mutual inductance M, for a given transformer, depends upon the following factors. The selfinductances of the primary and secondary coils, that is, the values of L1 and L2 . 2. The presence or absence of ferromagnetic material. 3. The spacing between the two coils; the farther apart they are, the less is the mutual inductance. 4. The orientation of L1 with respect to L2 ; for example, the mutual inductance if the two coils are at right angles to each other (as shown below) would be very small as compared to what it would be for the orientation of Fig. 216. 1. Draw Bar Code In .NET Using Barcode generator for Visual Studio .NET Control to generate, create barcode image in VS .NET applications. Code 128 Code Set C Generation In VS .NET Using Barcode maker for .NET Control to generate, create ANSI/AIM Code 128 image in VS .NET applications. Another transformer parameter, called the COEFFICIENT OF COUPLING, denoted by k, is widely used in practical work. It is de ned as follows (where, as usual, inductance means selfinductance ). In a transformer, let L1 inductance of the primary coil, L2 inductance of the secondary coil, M mutual inductance of the transformer. Encoding UPC A In .NET Framework Using Barcode generation for VS .NET Control to generate, create UCC  12 image in .NET framework applications. Encode 2/5 Standard In .NET Framework Using Barcode printer for VS .NET Control to generate, create 2 of 5 Industrial image in Visual Studio .NET applications. CHAPTER 10 Magnetic Coupling. Transformers
Make EAN / UCC  13 In Visual Basic .NET Using Barcode generator for Visual Studio .NET Control to generate, create EAN13 Supplement 5 image in VS .NET applications. Barcode Creation In Java Using Barcode maker for Java Control to generate, create bar code image in Java applications. Then the coe cient of coupling k between the two coils is de ned by the equation M k p L1 L2 thus, M k p L1 L2 370 Scan EAN13 In VS .NET Using Barcode scanner for .NET Control to read, scan read, scan image in VS .NET applications. EAN / UCC  13 Drawer In ObjectiveC Using Barcode generator for iPad Control to generate, create UPC  13 image in iPad applications. 371 Barcode Encoder In None Using Barcode creator for Font Control to generate, create bar code image in Font applications. Bar Code Generation In ObjectiveC Using Barcode generation for iPhone Control to generate, create bar code image in iPhone applications. The coe cient of coupling is a measure of the closeness of coupling that exists between the primary and secondary coils. k has a maximum possible value of 1; this value, k 1, represents a theoretical case where ALL the ux generated by the primary current links ALL the turns of the secondary coil, and ALL the ux generated by the secondary current links ALL the turns of the primary coil. This situation can never be completely realized in any actual transformer because, for practical reasons, the coils cannot be constructed and positioned so that ALL the ux generated in one coil will link with every turn of the other coil. Hence, k is always less than 1 for an actual transformer. The value of k will usually run from 1 to 10% for air core transformers and up to 99.5% for highquality ironcored transformers. The best value of k will depend upon the particular application we are interested in; for aircore transformers, used at very high frequencies, the best value of k is usually from 1 to 10%, while for ironcored transformers, used at lower frequencies, the value of k should usually be as close to 100% as possible. Problem 184 Suppose a transformer has a primary coil of inductance 0.9 henry, a secondary coil of inductance 15 henrys, and coe cient of coupling 85%. What voltage is induced into the secondary coil if the primary current is (a) (b) a steady current of 25 amperes, changing at a rate of 25 amperes per second Generate Barcode In Java Using Barcode drawer for Android Control to generate, create barcode image in Android applications. Bar Code Encoder In .NET Framework Using Barcode creation for ASP.NET Control to generate, create bar code image in ASP.NET applications. Problem 185 (a) Show that, for any given transformer, the SAME RATE OF CHANGE OF CURRENT, IN EITHER COIL, INDUCES EQUAL VOLTAGE IN THE OTHER COIL. (b) As applied to problem 184, this says that if the secondary current were changing at the rate of 25 amperes/second, this would induce a voltage of 78.0775 volts in the primary coil. Verify, by calculation, that this would be true.

