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qr code generator vb.net Reactance and Impedance in .NET framework
CHAPTER 8 Reactance and Impedance Reading Code 128C In .NET Framework Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in VS .NET applications. Making ANSI/AIM Code 128 In Visual Studio .NET Using Barcode creation for VS .NET Control to generate, create Code 128A image in Visual Studio .NET applications. at resonance, because ONLY at resonance is it true that XL XC 0. Note that the greater the deviation of the frequency away from the resonant frequency, the greater is the magnitude of (XL XC , thus the greater is the magnitude of the denominator and the less is the magnitude of current. The result is illustrated graphically in Fig. 160, the general form of a plot of eq. (236), where XL !L and XC 1=!C. Code 128 Code Set C Decoder In VS .NET Using Barcode reader for VS .NET Control to read, scan read, scan image in Visual Studio .NET applications. Make Barcode In .NET Framework Using Barcode creation for Visual Studio .NET Control to generate, create bar code image in .NET framework applications. Fig. 160
Decoding Bar Code In .NET Framework Using Barcode recognizer for VS .NET Control to read, scan read, scan image in VS .NET applications. Paint Code 128 Code Set B In Visual C# Using Barcode generation for .NET framework Control to generate, create USS Code 128 image in .NET framework applications. Let us now summarize some facts about the basic series circuit of Fig. 159. To begin, let X denote the net reactance in Fig. 159 where, from inspection of eqs. (235) and (236), we see that 1 X XL XC !L !C showing that inductive and capacitive reactances tend to cancel each other out in a series circuit. This is because their voltage drops are 180 degrees out of phase with each other, " " being equal to jXL I and jXC I . Thus, in Fig. 159, if !L is less than 1=!C (below resonance), the generator sees a capacitive circuit, but if !L is greater than 1=!C (above resonance), the generator sees an inductive circuit. Of course, if XL XC (the condition of resonance, ! !0 , the generator sees a pure resistance. These three possible conditions are illustrated in Figs. 161, 162, and 163. Code 128 Code Set B Creator In .NET Framework Using Barcode printer for ASP.NET Control to generate, create Code 128C image in ASP.NET applications. Encoding Code 128 Code Set C In VB.NET Using Barcode generator for Visual Studio .NET Control to generate, create ANSI/AIM Code 128 image in .NET applications. Fig. 161
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Draw GTIN  128 In Visual Studio .NET Using Barcode drawer for .NET framework Control to generate, create EAN / UCC  13 image in VS .NET applications. Encoding ITF In .NET Framework Using Barcode creation for VS .NET Control to generate, create 2 of 5 Interleaved image in Visual Studio .NET applications. Fig. 163
UCC  12 Decoder In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Print EAN / UCC  13 In VS .NET Using Barcode drawer for ASP.NET Control to generate, create EAN / UCC  13 image in ASP.NET applications. A vector diagram for Fig. 159 for the condition of resonance, ! !0 , is given in Fig. 164, where V is generator voltage and I0 is current at resonance I0 V=R . Note that the voltage drops across L and C are equal in magnitude but 1808 out of phase with each other. Note, also, that the magnitudes of the voltage drops across L and C can be MANY TIMES GREATER than the generator voltage V. This is possible because at resonance VL and VC exactly cancel each other out, leaving only the voltage drop RI0 in the circuit (V RI0 : Code 128A Generator In None Using Barcode printer for Software Control to generate, create Code 128B image in Software applications. Bar Code Creator In Visual C# Using Barcode creator for .NET Control to generate, create bar code image in .NET applications. CHAPTER 8 Reactance and Impedance
UPC A Reader In VB.NET Using Barcode decoder for .NET Control to read, scan read, scan image in .NET framework applications. GS1  12 Maker In VB.NET Using Barcode encoder for .NET Control to generate, create UPC A image in .NET applications. Fig. 164
Matrix 2D Barcode Maker In Visual C#.NET Using Barcode creation for .NET Control to generate, create Matrix Barcode image in VS .NET applications. GS1  13 Generation In None Using Barcode creation for Font Control to generate, create GTIN  13 image in Font applications. Now suppose the frequency were to become (for example) GREATER than the reso" nant frequency ! > !0 . In this case the current I would LAG the generator voltage by some angle (eq. (237)), as shown in Fig. 165. (For convenience, Figs. 164 and 165 are not drawn to the same scale.) A brief discussion follows. Fig. 165
Since we are no longer at resonance (here we re assuming a frequency above reso" nance), the magnitude of I would now be less than I0 (by eq. (236), and seen in Fig. " 160). The voltage drops VL and VC will still be at right angles to the current vector I and will still be 1808 out of phase with each other, but now VL will be greater than VC , and thus VL and VC will no longer completely cancel each other out, but, instead, a net voltage drop of VL VC will appear between L and C, as shown in Fig. 165. The vector sum of the voltage VL VC and the voltage drop RI across the resistance R must and will be equal to the generator voltage V as shown in the gure. " For frequencies below resonance XC will be greater than XL , and the current I will lead the generator voltage V. The net voltage drop between C and L will be VC VL , and the vector sum of this voltage and the voltage drop RI across the resistance R must again be equal to the generator voltage V. CHAPTER 8 Reactance and Impedance
Problem 140 Find the resonant frequency of a series circuit in which L 4 microhenrys, C 0:0025 microfarads, and R 0:65 ohm. Problem 141 In a certain series RLC circuit, L 400 microhenrys. Find the value of C if the circuit must resonate at 500 kilohertz (500 kHz). (Answer: 253.3 pF (picofarads)) Problem 142 If, in Fig. 159, L 1 microhenry, C 0:0025 microfarad, R 5 ohms, and if the generator voltage is 20 volts rms, nd the following values: (a) power output of generator at the resonant frequency, (b) voltage drop across C at resonance. If, now, the generator frequency is made equal to 107 rad/sec (all else unchanged), nd (c) (d) (e) magnitude of voltage drop across C, phase angle of current vector with respect to generator voltage, power output of generator. Practically speaking, the phenomenon of series resonance is especially important because it can be used to select or tune in a desired signal, while rejecting all others. To investigate this most interesting and useful matter, let us begin with Fig. 166, in which a " generator of reference voltage V V =08 V is applied to a series RLC circuit, as shown.

