Explanation Given data: Refer to Figure in the textbook for the circuit. Average power of the load 1 ( P 1 ) is 6 kW (absorbing). Reactive power of the load 1 ( Q 1 ) is − 8 kVAR (delivering). Average power of the load 2 ( P 2 ) is 9 kW (absorbing). Reactive power of the load 2 ( Q 2 ) is 3 kVAR (absorbing). Load 3 is consists of parallel combination of resistance and capacitance. The value of resistance is 25 k Ω and the reactance of capacitance is − 5 Ω . Voltage at the terminals of the load ( V o ) is 250 ∠ 0 ° V ( rms ) . Formula used: From the given circuit, write the expression for rms value of the source voltage as follows: V g = V o + I g [ ( j 0.1 ) Ω ] (1) Here, V o is the rms value of the voltage at the terminals of the load and I g is the source current. Write the expression for complex power at the load terminals as follows: S L = V o I g * (2) Write the expression for apparent power of the total load as follows: S L = S 1 + S 2 + S 3 (3) Here, S 1 is the apparent power of the load 1, S 2 is the apparent power of the load 2, and S 3 is the apparent power of the load 3. Write the expression for apparent power load 1 for the given circuit as follows: S 1 = P 1 + j Q 1 (4) Here, P 1 is the real power of the load 1 and Q 1 is the reactive power of the load 1. Write the expression for apparent power load 2 for the given circuit as follows: S 2 = P 2 + j Q 2 (5) Here, P 2 is the real power of the load 2 and Q 2 is the reactive power of the load 2. Write the expression for apparent power load 3 for the given circuit as follows: S 3 = ( V o ) 2 Z 3 * (6) Calculation: The impedance of the load 3 is calculated as follows: Z 3 = ( 25 k Ω ) ( − j 5 Ω ) 25 k Ω − j 5 Ω = ( 25000 ) ( − j 5 ) 25000 − j 5 = ( 0.001 − j 5 ) Ω . Substitute 250 V for V o and ( 0.001 − j 5 ) Ω for Z 3 in Equation (6) to obtain the value of apparent power of the load 3. S 3 = ( 250 V ) 2 [ ( 0.001 − j 5 ) Ω ] * = ( 250 ) 2 ( 0.001 + j 5 ) VA = ( 2

ELECTRIC CIRCUITS-W/MASTERINGENGINEERING

11th Edition

ISBN: 9780134894300

Author: NILSSON

Publisher: PEARSON

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ELECTRIC CIRCUITS-W/MASTERINGENGINEERING

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. 10.4 - A load consisting of a 1.35 kΩ resistor in...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. 10.6 - Solve Example 10.12 if the voltage source is...

Ch. 10 - Prob. 1P Ch. 10 - A college student wakes up on a warm day. 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 - Find the average power delivered by the ideal...Ch. 10 - The op amp in the circuit shown in Fig. P10.8 is...Ch. 10 - Find the average power dissipated in the 40 Ω...Ch. 10 - The load impedance in Fig. P10.10 absorbs 2.5 kW...Ch. 10 - Find the rms value of the periodic current shown...Ch. 10 - The periodic current shown in Fig. P10.11...Ch. 10 - Find the rms value of the periodic voltage shown...Ch. 10 - Find the rms value of the periodic voltage shown...Ch. 10 - A personal computer with a monitor and keyboard...Ch. 10 - Prob. 16P 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 - The voltage Vg in the frequency-domain circuit...Ch. 10 - Prob. 20P Ch. 10 - The two loads shown in Fig. P10.21 can be...Ch. 10 - Two 125 V(rms) loads are connected in parallel....Ch. 10 - Prob. 23P Ch. 10 - Three loads are connected in parallel across a 250...Ch. 10 - The three loads in Problem 10.24 are fed from a...Ch. 10 - Prob. 26P Ch. 10 - The three loads in the circuit in Fig. P10.27 can...Ch. 10 - The three loads in the circuit seen in Fig. P10.28...Ch. 10 - Suppose the circuit shown in Fig. P10.28...Ch. 10 - The three loads in the circuit seen in Fig. P10.30...Ch. 10 - Prob. 31P 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 - Prob. 39P 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. 48P Ch. 10 - The values of the parameters in the circuit shown...Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - Prob. 55P Ch. 10 - Prob. 56P Ch. 10 - Prob. 57P Ch. 10 - Prob. 58P Ch. 10 - Prob. 59P Ch. 10 - The ideal transformer connected to the 5 kΩ load...Ch. 10 - Prob. 61P Ch. 10 - Prob. 62P Ch. 10 - Prob. 63P Ch. 10 - Prob. 66P Ch. 10 - Prob. 67P Ch. 10 - Prob. 68P Ch. 10 - Prob. 69P Ch. 10 - Prob. 70P Ch. 10 - Prob. 71P

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