Explanation Calculation: Consider Thevenin impedance Z Th = R Th + j X Th Load impedance is Z L = | Z L | cos θ + j | Z L | sin θ . Write the general expression for current flowing in a Thevenin circuit. | I | = | V Th | | Z Th + Z L | = | V Th | | R Th + j X Th + | Z L | cos θ + j | Z L | sin θ | = | V Th | | R Th + | Z L | cos θ + j ( X Th + | Z L | sin θ ) | = | V Th | ( R Th + | Z L | cos θ ) 2 + ( X Th + | Z L | sin θ ) 2 Consider the expression for average power delivered to the load. P = | I | 2 | Z L | cos θ = | V Th | 2 | Z L | cos θ ( ( R Th + | Z L | cos θ ) 2 + ( X Th + | Z L | sin θ ) 2 ) 2 = | V Th | 2 | Z L | cos θ ( R Th + | Z L | cos θ ) 2 + ( X Th + | Z L | sin θ ) 2 Differentiate with respect to Z L and equate to zero, to obtain the value of maximum power delivered to load. d P d | Z L | = 0 d d | Z L | [ | V Th | 2 | Z L | cos θ ( R Th + | Z L | cos θ ) 2 + ( X Th + | Z L | sin θ ) 2 ] = 0 d d | Z L | [ | V Th | 2 | Z L | cos θ D ] = 0 { ∵ D = ( R Th + | Z L | cos θ ) 2 + ( X Th + | Z L | sin θ ) 2 } D [ | V Th | 2 | Z L | cos θ ] − | V Th | 2 | Z L | cos θ d d | Z L | ( D ) D 2 = 0 Simplify the equation as follows

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ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 10, Problem 45P

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Prove |ZL|=|ZTh|.

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Chapter 10, Problem 44P

Chapter 10, Problem 46P

Chapter 10 Solutions

Electric Circuits (10th Edition)

Ch. 10.2 - For each of the following sets of voltage and...Ch. 10.2 - Compute the power factor and the reactive factor...Ch. 10.3 - The periodic triangular current in Example 9.4,...Ch. 10.5 - The voltage at the terminals of a load is 250...Ch. 10.5 - Find the phasor voltage Vs in the circuit shown if...Ch. 10.6 - Find the average power delivered to the 100Ω...Ch. 10.6 - Find the average power delivered to the 400Ω...Ch. 10.6 - Prob. 11AP Ch. 10 - Prob. 1P Ch. 10 - A college student wakes up hungry. He turns on the...

Ch. 10 - Show that the maximum value of the instantaneous...Ch. 10 - A load consisting of a 480 Ω resistor in parallel...Ch. 10 - Prob. 5P Ch. 10 - Prob. 6P Ch. 10 - The op amp in the circuit shown in Fig. P10.8 is...Ch. 10 - Calculate the real and reactive power associated...Ch. 10 - Prob. 9P Ch. 10 - The load impedance in Fig. P10.10 absorbs 6 kW and...Ch. 10 - A personal computer with a monitor and keyboard...Ch. 10 - Prob. 12P Ch. 10 - The periodic current shown in Fig. P10.12...Ch. 10 - Find the rms value of the periodic voltage shown...Ch. 10 - Prob. 15P Ch. 10 - Prob. 16P Ch. 10 - The current Ig in the frequency-domain circuit...Ch. 10 - Prob. 18P Ch. 10 - Find VL (rms) and θ for the circuit in Fig. P10.17...Ch. 10 - Find the average power, the reactive power, and...Ch. 10 - Two 480 V (rms) loads are connected in parallel....Ch. 10 - The two loads shown in Fig. P10.22 can be...Ch. 10 - Prob. 23P Ch. 10 - Prob. 24P Ch. 10 - Prob. 25P Ch. 10 - Prob. 26P Ch. 10 - Prob. 27P Ch. 10 - Three loads are connected in parallel across a 300...Ch. 10 - The three loads in Problem 10.28 are fed from a...Ch. 10 - The three loads in the circuit in Fig. P10.27 can...Ch. 10 - Find the average power dissipated in the line in...Ch. 10 - Prob. 32P Ch. 10 - Prob. 33P Ch. 10 - A factory has an electrical load of 1600 kW at a...Ch. 10 - Prob. 35P Ch. 10 - Prob. 36P Ch. 10 - Find the average power delivered to the 8 Ω...Ch. 10 - Prob. 38P Ch. 10 - Find the average power dissipated in each resistor...Ch. 10 - Prob. 40P Ch. 10 - Prob. 41P Ch. 10 - Prob. 42P Ch. 10 - Prob. 43P Ch. 10 - Prob. 44P Ch. 10 - Prob. 45P Ch. 10 - The variable resistor in the circuit shown in Fig....Ch. 10 - Prob. 47P Ch. 10 - Prob. 50P Ch. 10 - Prob. 51P Ch. 10 - The 160 Ω resistor in the circuit in Fig. P10.51...Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - The values of the parameters in the circuit shown...Ch. 10 - Prob. 57P Ch. 10 - Prob. 58P Ch. 10 - Prob. 59P Ch. 10 - Prob. 60P Ch. 10 - Prob. 61P Ch. 10 - The ideal transformer connected to the 5 kΩ load...Ch. 10 - Prob. 63P Ch. 10 - Prob. 64P Ch. 10 - Prob. 67P Ch. 10 - Prob. 68P Ch. 10 - Prob. 69P Ch. 10 - Prob. 70P Ch. 10 - Prob. 71P

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