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Fig. 128 Scan Code128 In .NET Using Barcode Control SDK for .NET framework Control to generate, create, read, scan barcode image in .NET applications. Encoding Code 128C In .NET Framework Using Barcode printer for .NET Control to generate, create ANSI/AIM Code 128 image in .NET framework applications. First, as you know, the wave of voltage drop across a pure resistance of R ohms is exactly in phase with the wave of current through the resistance, a fact indicated graphically in Fig. 128. Next, in the gure, note that the wave of voltage drop, the counteremf, across the inductor LEADS the current wave through the inductor by 90 degrees. This is in Recognize Code 128 Code Set B In Visual Studio .NET Using Barcode reader for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications. Bar Code Creation In Visual Studio .NET Using Barcode maker for VS .NET Control to generate, create barcode image in Visual Studio .NET applications. * Ip is the peak value of the steadystate sinusoidal current.
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Note that VL (capital V, sub L) denotes the PEAK VOLTAGE DROP ACROSS L. Next, let s consider the VOLTAGE EQUATION for Fig. 127 in the sinusoidal steady state. Such an equation must show that at all instants of time the sum of the voltage drops across R and L is equal to the applied generator voltage. The equation can be arrived at as follows. First, the instantaneous voltage drop across R is vR Ri RIp sin !t , in which we see that the PEAK VOLTAGE DROP ACROSS R is RIp . Next, VL , the PEAK VOLTAGE DROP ACROSS L, depends, rst of all, upon the magnitude of the MAXIMUM RATE OF CHANGE OF CURRENT, which occurs only at times where i 0. This fact can be seen from examination of Fig. 128, in which it can be seen that the current curve is steepest (maximum amperes per second ), when i 0. Now, if we carefully inspect Fig. 128 we will see that the MAGNITUDE OF THE STEEPNESS of the current at i 0 increases if (1) the PEAK VALUE of current, Ip , is increased, and (2) if the FREQUENCY, !, is increased (for example, note the e ect, on degree of steepness, if the number of current waves in Fig. 128 were doubled). These points, plus the fact that the peak value VL is also proportional to the value of L itself, leads us, correctly, to the conclusion that the PEAK VALUE OF THE VOLTAGE DROP ACROSS L is VL !LIp , and upon substituting this value into eq. (193), and remembering that the peak voltage drop across R is RIp , we have that the SINUSOIDAL STEADYSTATE VOLTAGE EQUATION for Fig. 127 is Vp sin !t RIp sin !t !LIp sin !t 908 194 Barcode Generator In VS .NET Using Barcode maker for .NET framework Control to generate, create bar code image in .NET applications. Draw European Article Number 13 In VS .NET Using Barcode generator for VS .NET Control to generate, create EAN13 Supplement 5 image in VS .NET applications. where phase angle of current with respect to the reference generator voltage. In the above equation the quantity !L is measured in ohms* and is called INDUCTIVE REACTANCE. Inductive reactance is denoted by XL ; thus, XL !L 2fL ohms; thus, by Ohm s law, XL Ip !LIp peak voltage drop across the inductor, as shown in eq. (194). Now, as pointed out in connection with Figs. 93 through 95 in section 5.6, the three rotating voltage components in eq. (194) can be regarded as three stationary vector components, as shown in Fig. 129, where V is now the rms generator voltage, taken as being the reference vector, and I is the rms current vector. Note that RI, the rms voltage drop across the resistance R, is in phase with the current vector I, while !LI, the rms voltage drop across the inductor, leads the current vector I by 90 degrees. 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