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barcode in vb.net 2005 Cosine of phase angle in Software
Cosine of phase angle Decoding Quick Response Code In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Denso QR Bar Code Printer In None Using Barcode maker for Software Control to generate, create Quick Response Code image in Software applications. Recall that in a circuit having reactance and resistance, the current and the voltage are not in phase. The extent to which they differ in phase is the phase angle. If there is no reactance, then the phase angle is 0 degrees. If there is a pure reactance, then the phase angle is either 90 degrees or 90 degrees. The power factor is equal to the cosine of the phase angle. You can use a calculator to find this easily. Read QR Code JIS X 0510 In None Using Barcode reader for Software Control to read, scan read, scan image in Software applications. QR Creation In C# Using Barcode creator for VS .NET Control to generate, create QR image in .NET applications. Problem 171 Painting Denso QR Bar Code In Visual Studio .NET Using Barcode generator for ASP.NET Control to generate, create QR Code image in ASP.NET applications. Making QR In Visual Studio .NET Using Barcode generator for Visual Studio .NET Control to generate, create QR Code image in .NET applications. A circuit contains no reactance, but a pure resistance of 600 . What is the power factor Without doing any calculations, it is evident that PF 1, because PVA PT in a pure resistance. So PT/PVA 1. But you can also look at this by noting that the phase Creating QRCode In Visual Basic .NET Using Barcode creator for .NET framework Control to generate, create QR Code ISO/IEC18004 image in .NET applications. Barcode Maker In None Using Barcode drawer for Software Control to generate, create bar code image in Software applications. AM FL Y
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RM4SCC Encoder In None Using Barcode generation for Software Control to generate, create Royal Mail Barcode image in Software applications. UPCA Encoder In None Using Barcode generation for Word Control to generate, create UPC Symbol image in Word applications. Calculation of power factor 311 angle is 0 degrees, because the current is in phase with the voltage. Using your calculator, find cos 0 1. Therefore, PF 1 100 percent. The vector for this case is shown in Fig. 175. GTIN  13 Maker In None Using Barcode generator for Microsoft Word Control to generate, create EAN 13 image in Microsoft Word applications. Print Matrix Barcode In C# Using Barcode encoder for .NET Control to generate, create 2D Barcode image in Visual Studio .NET applications. 175 Phase angle for a pure resistance 600 j0.
Bar Code Generation In Java Using Barcode printer for Java Control to generate, create bar code image in Java applications. Print GS1128 In Java Using Barcode encoder for Android Control to generate, create GS1 128 image in Android applications. Problem 172 Creating Linear 1D Barcode In Visual Basic .NET Using Barcode encoder for VS .NET Control to generate, create 1D image in .NET framework applications. Bar Code Creator In Java Using Barcode creation for Eclipse BIRT Control to generate, create bar code image in Eclipse BIRT applications. A circuit contains a pure capacitive reactance of 40 , but no resistance. What is the power factor Here, the phase angle is 90 degrees (Fig. 176). A calculator will tell you that cos 90 0. Therefore, PF 0. This means that PT/PVA 0 0 percent. That is, none of the power is true power, and all of it is imaginary or reactive power. 176 Phase angle for a pure capacitive impedance 0 j40.
312 Power and resonance in ac circuits
Problem 173 A circuit contains a resistance of 50 and an inductive reactance of 50 in series. What is the power factor The phase angle in this case is 45 degrees (Fig. 177).The resistance and reactance components are equal, and form two sides of a right triangle, with the complex impedance vector forming the hypotenuse. Find cos 45 0.707. This means that PT/PVA 0.707 70.7 percent. 177 Phase angle for impedance 50 j50.
Ratio R/Z
Another way to calculate the power factor is to find the ratio of the resistance R to the absolutevalue impedance Z. In Fig. 177, this is visually apparent. A right triangle is formed by the resistance vector R (the base), the reactance vector jX (the height) and the absolutevalue impedance Z (the hypotenuse). The cosine of the phase angle is equal to the ratio of the base length to the hypotenuse length; this represents R/Z. Problem 174 A circuit has an absolutevalue impedance Z of 100 , with a resistance R 80 . What is the power factor Simply find the ratio: PF R/Z 80/100 0.8 80 percent. Note that it doesn t matter whether the reactance in this circuit is capacitive or inductive. In fact, you don t even have to worry about the value of the reactance here. Problem 175 A circuit has an absolutevalue impedance of 50 , purely resistive. What is the power factor Here, R Z 50. Therefore, PF R/Z 50/50 1 100 percent. How much of the power is true 313
Resistance and reactance
Sometimes you ll get data that tells you the resistance and reactance components in a circuit. To calculate the power factor from this, you can either find the phase angle and take its cosine, or find the absolutevalue impedance and take the ratio R/Z. Problem 176 A circuit has a resistance of 50 and a capacitive reactance of 30 . What is the power factor Use the cosine method. The tangent of the phase angle is equal to X/R. Therefore, the phase angle is arctan (X/R) arctan ( 30/50) arctan ( 0.60) 31 degrees. The power factor is the cosine of this angle; PF cos ( 31) 0.86 86 percent. Problem 177 A circuit has a resistance of 30 and an inductive reactance of 40 . What is the power factor Use the R/Z method. 1600 Find the absolutevalue impedance: Z2 R2 X2 302 402 900 2500; therefore Z 50. The power factor is therefore PF R/Z 30/50 0.60 60 percent. This problem is represented very nicely by a 3:4:5 right triangle (Fig. 178). 178 Illustration for Problem 177.

