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qr code vb.net source Sinusoidal Waves. rms Value in Visual Studio .NET
CHAPTER 5 Sinusoidal Waves. rms Value Scanning Code 128B In Visual Studio .NET Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in VS .NET applications. Generating Code 128 Code Set B In Visual Studio .NET Using Barcode drawer for Visual Studio .NET Control to generate, create Code 128A image in .NET applications. Let us now refer back to the table of values in section 5.3. Now, in that table, replace with !t and degrees with their equivalent values from the above chart. This gives us the following table of values in terms of radians. Recognize Code 128 Code Set A In .NET Using Barcode recognizer for .NET framework Control to read, scan read, scan image in .NET applications. Barcode Creation In .NET Using Barcode maker for .NET Control to generate, create barcode image in VS .NET applications. !t 0 =6 =4 =3 =2 2=3 3=4 5=6 sin !t 0.0000 0.5000 0.7071 0.8660 1.0000 0.8660 0.7071 0.5000 0.0000 cos !t 1.0000 0.8660 0.7071 0.5000 0.0000 0.5000 0.7071 0.8660 1.0000 tan !t 0.0000 0.5774 1.0000 1.7321 1 1.7321 1.0000 0.5774 0.0000 !t 7=6 5=4 4=3 3=2 5=3 7=4 11=6 2 sin !t 0.5000 0.7071 0.8660 1.0000 0.8660 0.7071 0.5000 0.0000 cos !t 0.8660 0.7071 0.5000 0.0000 0.5000 0.7071 0.8660 1.0000 tan !t 0.5774 1.0000 1.7321 1 1.7321 1.0000 0.5774 0.0000 Decode Barcode In .NET Framework Using Barcode reader for VS .NET Control to read, scan read, scan image in VS .NET applications. Creating Code 128 Code Set B In C#.NET Using Barcode printer for .NET Control to generate, create USS Code 128 image in VS .NET applications. We have previously (Figs. 81 and 82) sketched the curves of sin , cos , and tan versus the angle in degrees. Now, in Fig. 85, we ve used the table immediately above to sketch a couple of cycles of the functions, y A sin !t and y A cos !t, versus the angle !t in radians. Code 128 Code Set C Generation In .NET Framework Using Barcode generator for ASP.NET Control to generate, create Code 128 Code Set A image in ASP.NET applications. Encoding Code 128 Code Set C In Visual Basic .NET Using Barcode generator for Visual Studio .NET Control to generate, create Code 128 Code Set B image in Visual Studio .NET applications. Fig. 85
Encode USS Code 39 In .NET Using Barcode generation for VS .NET Control to generate, create Code 39 Full ASCII image in VS .NET applications. Encoding UCC  12 In VS .NET Using Barcode creation for .NET framework Control to generate, create GS1 128 image in VS .NET applications. In Fig. 85, the constant A denotes the maximum (peak) value of the sine and cosine functions. The independent variable is time t, in seconds, and, as always, ! 2f , where f is constant frequency in cycles per second (Hz). Also, in the gure, note that for !t 0 the cosine function has the maximum value A, while at the same time the sine function has the value zero. Later in time, however, when !t =2, we see that the value of the cosine has fallen to zero, while the sine has risen to the maximum value of A. Thus, since the sine reaches its peak value at a later time than the cosine, we say that the sine function lags the cosine by =2 radians (90 degrees). This is, of course, the same as saying that the cosine leads the sine by =2 radians (908). As we know, the sinusoidal functions are PERIODIC functions, having a period of 2 radians. Any interval of 2 radians (3608) constitutes ONE CYCLE of a sinusoidal wave. In Fig. 85, for example, we indicate one particular cycle, in the interval from !t 0 to !t 2. Generating UCC  12 In .NET Framework Using Barcode creator for Visual Studio .NET Control to generate, create UCC  12 image in .NET applications. Identcode Generation In Visual Studio .NET Using Barcode creation for VS .NET Control to generate, create Identcode image in Visual Studio .NET applications. CHAPTER 5 Sinusoidal Waves. rms Value
Code39 Maker In ObjectiveC Using Barcode encoder for iPhone Control to generate, create Code 39 Full ASCII image in iPhone applications. EAN 13 Decoder In VB.NET Using Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in .NET framework applications. For any given value of !t, the value of a sinusoidal function is repeated over and over for each value of !t 2n, where n is any integer. Thus (corresponding to eqs. 79 and 80) we have that sin !t sin !t 2n 89 cos !t cos !t 2n 90 Code128 Reader In Visual C# Using Barcode decoder for .NET framework Control to read, scan read, scan image in .NET applications. Print Barcode In Visual Studio .NET Using Barcode generation for ASP.NET Control to generate, create bar code image in ASP.NET applications. where n is any integer. Let us next nd the relationship between the time of one cycle and the frequency f of a sinusoid. The easiest way to do this is to make use of the particular cycle that begins at !t 0 in Fig. 85 (which we ve labeled one cycle in the gure). If we let large T denote the TIME OF ONE CYCLE, then, at the end of this particular cycle, when t T, we see from the gure that !T 2, that is, 2fT 2, from which we get the desired relationship fT 1 91 Code39 Maker In VB.NET Using Barcode printer for Visual Studio .NET Control to generate, create Code 39 Extended image in .NET framework applications. Creating GS1128 In Java Using Barcode generation for Java Control to generate, create EAN128 image in Java applications. in which f is frequency in cycles per second (Hz) and T is the time of one cycle in seconds. We now conclude this section with a discussion of phase shift and phase angle as used in connection with sinusoidal waves. We can begin by pointing out that the term phase, as used in electrical engineering, refers in general to an angular relationship of some kind. As applied to sinusoidal waves, the terms phase shift and phase angle refer to the amount of ANGULAR DISPLACEMENT of such waves; for instance, this might be the angular displacement with respect to the origin of the coordinate axes, or the angular displacement of one wave with respect to another wave of the same frequency. For example, in the preceding discussion of Fig. 85 we noted that the cosine curve leads the sine curve by =2 radians or 908. In phase terminology we could say that the phase angle between the cosine and sine functions is =2 radians, or that the cosine has a phase shift, or is phase shifted, in the amount of =2 radians with respect to the sine. The phase angle between two sinusoidal waves of the same frequency is measured between any two successive, corresponding, points of the two waves. For instance, this can be the angular distance, in radians or degrees, between two successive peak values of the waves, or the angular distance between the points at which the curves are rising in the positive sense as they cross the horizontal axis. This is illustrated in Fig. 86, in which the phase angle, 458, is the angle between two such consecutive crossover points, as shown. In this case, curve A can be said to lead curve B by 45 degrees, because A reaches its peak positive value 458 before B (as mentioned in the discussion of Fig. 85). There is an item of interest in connection with Fig. 86 that should be mentioned. In the gure, the phase angle of 458 (=4 radians) is angular displacement between the two waves themselves, as shown. The point we wish to make, however, is that this DataMatrix Maker In None Using Barcode encoder for Font Control to generate, create DataMatrix image in Font applications. UCC128 Creation In None Using Barcode creator for Office Excel Control to generate, create EAN128 image in Microsoft Excel applications. 
