The following sets of values for and i pertain to the circuit seen in Fig. 10.1. For each set of values, calculate P and Q and state whether the circuit inside the box is absorbing or delivering (1) average power and (2) magnetizing vars.
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Textbook Solutions for Electric Circuits
Question
The three loads in the circuit seen in Fig. P10.24 are described as follows: Load 1 is absorbing 4.8 kW and delivering 2.4 kVAR; Load 2 is absorbing 6 kVA at a power factor of 0.8 lagging; Load 3 is a \(24 \Omega\) resistor in parallel with an inductance whose reactance is \(6 \Omega\).
a) Calculate the average power and the magnetizing reactive power delivered by each source if \(\mathbf{V}_{g 1}=\mathbf{V}_{g 2}=120 \angle 0^{\circ} \mathrm{V}(\mathrm{rms})\).
b) Check your calculations by showing your results are consistent with the requirements
\(\sum P_{\mathrm{dev}}=\sum P_{\mathrm{abs}}\)
\(\sum Q_{\mathrm{dev}}=\sum Q_{\mathrm{abs}}\).
Solution
The first step in solving 10 problem number 24 trying to solve the problem we have to refer to the textbook question: The three loads in the circuit seen in Fig. P10.24 are described as follows: Load 1 is absorbing 4.8 kW and delivering 2.4 kVAR; Load 2 is absorbing 6 kVA at a power factor of 0.8 lagging; Load 3 is a \(24 \Omega\) resistor in parallel with an inductance whose reactance is \(6 \Omega\). a) Calculate the average power and the magnetizing reactive power delivered by each source if \(\mathbf{V}_{g 1}=\mathbf{V}_{g 2}=120 \angle 0^{\circ} \mathrm{V}(\mathrm{rms})\).b) Check your calculations by showing your results are consistent with the requirements\(\sum P_{\mathrm{dev}}=\sum P_{\mathrm{abs}}\)\(\sum Q_{\mathrm{dev}}=\sum Q_{\mathrm{abs}}\).
From the textbook chapter Sinusoidal Steady-State Power Calculations you will find a few key concepts needed to solve this.
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