TAILIEUCHUNG - Electric Circuits, 9th Edition P40

Electric Circuits, 9th Edition P40. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | 366 Sinusoidal Steady-State Power Calculations Example Calculating Average and Reactive Power a Calculate the average power and the reactive power at the terminals of the network shown in Fig. if v 100 cos wt 15 V i 4 sin cot - 15 A. b State whether the network inside the box is absorbing or delivering average power. c State whether the network inside the box is absorbing or supplying magnetizing vars. Figure A pair of terminals used for calculating power. Solution a Because i is expressed in terms of the sine function the first step in the calculation for P and Q is to rewrite i as a cosine function i 4 cos cot 105 A. We now calculate P and Q directly from Eqs. and . Thus P 100 4 cos 15 - -105 -100 W Q 100 4 sin 15 - -105 VAR. b Note from Fig. the use of the passive sign convention. Because of this the negative value of -100 W means that the network inside the box is delivering average power to the terminals. c The passive sign convention means that because Q is positive the network inside the box is absorbing magnetizing vars at its terminals. assessment problems Objective 1 Understand ac power concepts their relationships to one another and how to catcuate them in a circuit For each of the following sets of voltage and current calculate the real and reactive power in the line between networks A and B in the circuit shown. In each case state whether the power flow is from A to B or vice versa. Also state whether magnetizing vars are being transferred from A to B or vice versa. a v 100 cos cot 45 V i 20 cos d t 15 A. b v 100 cos cot - 45 V i 20 cos cot 165 A. c v 100 cos cot - 45 V i 20 cos cot 105 A. d v 100 cos cot V i 20 cos cot 120 A. Answer a P - 500 W A to B Q VAR B to A b P W BtoA Q 500 VAR A to B c P 500 W A to B Q VAR A to B d P -500 W BtoA Q VAR BtoA . Compute the power factor and the reactive factor for the network inside the box in Fig. whose voltage and current are .

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