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qr code generator vb.net Fig. 91 in .NET framework
Fig. 91 Decode Code 128C In .NET Framework Using Barcode Control SDK for .NET Control to generate, create, read, scan barcode image in VS .NET applications. Paint Code128 In Visual Studio .NET Using Barcode creator for .NET Control to generate, create Code 128 Code Set A image in .NET framework applications. Note, rst, that the independent variable here is time t. The function sin !t is, as we know, a periodic function of time, being alternatively positive and negative for equal time periods.* In Fig. 91, v1 and v2 denote instantaneous values of voltage of two sine waves OF THE SAME FREQUENCY, with Vp1 and Vp2 being the peak values of the two waves. Note that v1 0 when t 0; hence the lower sine wave passes through the origin of the axes, with the upper sine wave leading the lower wave by a radians (see discussion of phase angle in section 5.4). Inspection of Fig. 91 shows that vcd v1 v2 Vp1 sin !t Vp2 sin !t a 108 Decode Code 128C In VS .NET Using Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in Visual Studio .NET applications. Barcode Generation In VS .NET Using Barcode generator for .NET framework Control to generate, create bar code image in .NET applications. * Each cycle of a sinusoidal wave is said to consist of a positive alternation and a negative alternation. For example, in Fig. 85, for the indicated one cycle of A sin !t, the positive alternation exists from !t 0 to !t , and the negative alternation from !t to !t 2. Reading Bar Code In Visual Studio .NET Using Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in Visual Studio .NET applications. Code 128A Creation In C#.NET Using Barcode generation for Visual Studio .NET Control to generate, create Code 128 Code Set B image in .NET applications. CHAPTER 5 Sinusoidal Waves. rms Value
Code 128 Creation In VS .NET Using Barcode creation for ASP.NET Control to generate, create Code 128C image in ASP.NET applications. Code 128C Generator In VB.NET Using Barcode maker for Visual Studio .NET Control to generate, create Code 128 Code Set B image in .NET framework applications. where vcd instantaneous voltage between terminals c and d, at any time t seconds after t 0. The voltage arrows, as used in the instantaneous picture of Fig. 91, have their usual meaning; in this case the arrows simply denote what the generator polarities would be during the times when the functions sin !t and sin !t a are positive in value. The arrows would thus point downward during the times when sin !t and sin !t a are negative in value. The current arrow denotes the direction of ow of positive current, that is, the direction the current is assumed to ow during the times that sin !t b is positive in value. It should be noted that (108) is a simple addition of instantaneous voltages, and is not a vector relationship as it stands. Actually, however, in most practical work we are interested only in rms values of voltage and current, and not in instantaneous values. If we make use of this practical fact, it is possible to put the rms information contained in eq. (108) into a form to which vector methods can be applied; this extremely useful concept can be developed as follows. As pointed out in section 5.3, it s often convenient to represent the instantaneous values of a sinusoidal voltage or current as being generated by a rotating radius vector (also called a phasor ), as illustrated in Fig. 92. GS1 DataBar Expanded Creation In .NET Framework Using Barcode creation for Visual Studio .NET Control to generate, create GS1 DataBar image in VS .NET applications. Print GS1128 In VS .NET Using Barcode printer for Visual Studio .NET Control to generate, create GTIN  128 image in .NET applications. Fig. 92
Make Matrix Barcode In .NET Using Barcode generation for .NET framework Control to generate, create 2D Barcode image in Visual Studio .NET applications. Generate OneCode In .NET Framework Using Barcode encoder for Visual Studio .NET Control to generate, create 4State Customer Barcode image in .NET framework applications. In Fig. 92, note that it is not correct to write that Vp Vp cos !t Vp sin !t, because the horizontal and vertical components must be added together at right angles to give Vp . Thus Vp in Fig. 92 can be regarded as being an instantaneous VECTOR quantity, having horizontal and vertical components as shown. It therefore follows that eq. (108) can be represented as being generated by TWO such rotating phasors, as illustrated in Fig. 93. Painting Barcode In VB.NET Using Barcode maker for .NET framework Control to generate, create bar code image in VS .NET applications. Encoding Barcode In C#.NET Using Barcode drawer for VS .NET Control to generate, create barcode image in .NET framework applications. Fig. 93
Painting ANSI/AIM Code 39 In None Using Barcode generation for Word Control to generate, create Code 39 Extended image in Microsoft Word applications. Encoding GTIN  13 In Java Using Barcode drawer for Java Control to generate, create EAN13 image in Java applications. CHAPTER 5 Sinusoidal Waves. rms Value
Paint Code39 In None Using Barcode generation for Online Control to generate, create Code 39 Full ASCII image in Online applications. Creating European Article Number 13 In None Using Barcode creation for Software Control to generate, create EAN13 Supplement 5 image in Software applications. Figure 93 is thus an instantaneous picture of eq. (108) at any time t seconds after t 0. Note, however, that the phase angle a is not a function of time, but remains constant in value at all times. (It must be emphasized again that this is true only if v1 and v2 are waves of the SAME FREQUENCY.) Thus, as far as the relationship between the phase angle a and the constant peak values of the phasors are concerned, we can disregard the rotary motion in Fig. 93 and show only the constant vector relationship between the magnitudes of the phasors and the phase angle a, as in Fig. 94. Create USS Code 128 In VS .NET Using Barcode printer for ASP.NET Control to generate, create ANSI/AIM Code 128 image in ASP.NET applications. ANSI/AIM Code 128 Generator In None Using Barcode encoder for Excel Control to generate, create Code 128 Code Set C image in Excel applications. Fig. 94
Fig. 95
In Fig. 94, let us now multiply Vp1 and Vp2 by 0.7071; this converts the peak voltages into rms voltages, giving us Fig. 95, in which V1 and V2 are given to be rms values of voltage. Since we ll normally be interested only in rms values of voltage and current, let us agree that, from now on, all such vector diagrams will represent rms values of voltage and current, as in the voltage case of Fig. 95. In Fig. 95, V1 is the rms value of the sine wave, Vp1 sin !t, which passes through the origin of the axes (as mentioned just prior to eq. (108)). Thus, in Fig. 95, it is reasonable to select V1 to be the reference vector, taken to be at an angle of zero degrees, the angles of all other vectors being given relative to the reference vector V1 .* In Fig. 95, the total RESULTANT rms voltage, which let us denote by V, is equal to the vector sum of V1 and V2 ; geometrically, V is equal to the diagonal of the parallelogram formed with V1 and V2 as the two sides. This is shown in Fig. 96, in which h is the angle between the resultant vector V and the reference vector V1 .

