Explanation Given data: The line impedance of the three-phase line is 0.1 + j 0.8 Ω per phase. Consider that the first load absorbs the power of 630 kW and it also absorbs the 840 kVAR magnetizing vars. The second load is 15.36 − j 4.48 Ω per phase. The line-to-neutral voltage at the load end of the line is 4000 V. Calculation: The single phase load of real and reactive power are 630 kW 3 = 210 kW and 840 kVAR 3 = 280 kVAR respectively. The single phase equivalent circuit is drawn and it is shown in Figure 1. From Figure 1, consider the expression for the power. V AN I 1 ∗ = ( 210 + j 280 ) × 10 3 Substitute 4000 V for V AN . ( 4000 V ) I 1 ∗ = ( 210 + j 280 ) × 10 3 I 1 ∗ = 210 4 + j 280 4 I 1 ∗ = 52.5 + j 70 A ( rms ) Take conjugate of the Equation. I 1 = 52.5 − j 70 A ( rms ) Write the expression for the current I 2 from Figure 1. I 2 = V AN 15.36 − j 4.48 Ω Substitute 4000 V for V AN . I 2 = 4000 V 15.36 − j 4.48 Ω = 240 + j 70 A ( rms ) Consider the expression for the line current I aA . I aA = I 1 + I 2 Substitute 52.5 − j 70 A ( rms ) for I 1 and 240 + j 70 A ( rms ) for I 2

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ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 11, Problem 35P

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Calculate the line voltage magnitude at the source end of the line.

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Chapter 11, Problem 34P

Chapter 11, Problem 36P

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Chapter 11 Solutions

Electric Circuits (10th Edition)

Ch. 11.3 - The voltage from A to N in a balanced three-phase...Ch. 11.3 - Prob. 2AP Ch. 11.4 - Prob. 4AP Ch. 11.4 - Prob. 5AP Ch. 11.4 - Prob. 6AP Ch. 11.4 - Prob. 7AP Ch. 11.5 - Prob. 8AP Ch. 11.5 - Prob. 9AP Ch. 11 - Prob. 1P Ch. 11 - Prob. 3P

Ch. 11 - Prob. 4P Ch. 11 - Repeat Problem 11.4 but assume that the...Ch. 11 - Prob. 6P Ch. 11 - Find I0 in the circuit in Fig. P11.7. Find...Ch. 11 - Find the rms value of Io in the unbalanced...Ch. 11 - The time-domain expressions for three...Ch. 11 - Prob. 10P Ch. 11 - The magnitude of the line voltage at the terminals...Ch. 11 - A balanced Δ-connected load has an impedance of...Ch. 11 - A balanced, three-phase circuit is characterized...Ch. 11 - Prob. 15P Ch. 11 - In a balanced three-phase system, the source is a...Ch. 11 - Prob. 17P Ch. 11 - The impedance Z in the balanced three-phase...Ch. 11 - For the circuit shown in Fig. P11.20, find the...Ch. 11 - A balanced three-phase Δ-connected source is shown...Ch. 11 - Prob. 22P Ch. 11 - Fine the rms magnitude and the phase angle of ICA...Ch. 11 - Prob. 24P Ch. 11 - Prob. 25P Ch. 11 - The line-to-neutral voltage at the terminals of...Ch. 11 - Prob. 27P Ch. 11 - Prob. 28P Ch. 11 - Prob. 29P Ch. 11 - Calculate the complex power in each phase of the...Ch. 11 - Prob. 31P Ch. 11 - Prob. 32P Ch. 11 - Prob. 33P Ch. 11 - Prob. 34P Ch. 11 - Prob. 35P Ch. 11 - Three balanced three-phase loads are connected in...Ch. 11 - Prob. 37P Ch. 11 - Prob. 38P Ch. 11 - Prob. 40P Ch. 11 - Prob. 41P Ch. 11 - Prob. 42P Ch. 11 - Prob. 43P Ch. 11 - Prob. 44P Ch. 11 - Prob. 45P Ch. 11 - Prob. 46P Ch. 11 - Prob. 47P Ch. 11 - Prob. 48P Ch. 11 - Prob. 49P Ch. 11 - Prob. 50P Ch. 11 - Prob. 51P Ch. 11 - Find the reading of each wattmeter in the circuit...Ch. 11 - Prob. 53P Ch. 11 - Prob. 54P Ch. 11 - Prob. 55P Ch. 11 - Prob. 56P Ch. 11 - Prob. 57P Ch. 11 - Prob. 58P Ch. 11 - Prob. 59P Ch. 11 - Assume in Problem 11.59 that when the load drops...

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