Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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### Problem Statement: The three loads in Figure 2 are connected in parallel, and the voltage across them is \( V_o = 100\angle 0 \, V \, (\text{rms}) \). The loads are described as follows: - **L1**: Absorbing 150 W at a power factor of 0.75 leading. - **L2**: Absorbing 250 VA at a power factor of 1. - **L3**: 50 \(\Omega\) in parallel with an inductance whose reactance is 50 \(\Omega\). #### Objectives: Find: a. The impedance of load 1 (L1) and load 2 (L2). b. The amplitude and phase of the voltage \( V_g \). ### Figure 2 Diagram Explanation: - **Circuit Components**: - A voltage source labeled \( V_g \). - An inductor with a reactance of \( j20 \, \Omega \). - Three parallel loads \( L1 \), \( L2 \), and \( L3 \). - **Connections**: - The inductor is connected in series with the parallel loads. - The voltage across the loads is indicated as \( V_o \). The problem requires calculating electrical impedance values and understanding complex power relationships in AC circuits.
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Transcribed Image Text:### Problem Statement: The three loads in Figure 2 are connected in parallel, and the voltage across them is \( V_o = 100\angle 0 \, V \, (\text{rms}) \). The loads are described as follows: - **L1**: Absorbing 150 W at a power factor of 0.75 leading. - **L2**: Absorbing 250 VA at a power factor of 1. - **L3**: 50 \(\Omega\) in parallel with an inductance whose reactance is 50 \(\Omega\). #### Objectives: Find: a. The impedance of load 1 (L1) and load 2 (L2). b. The amplitude and phase of the voltage \( V_g \). ### Figure 2 Diagram Explanation: - **Circuit Components**: - A voltage source labeled \( V_g \). - An inductor with a reactance of \( j20 \, \Omega \). - Three parallel loads \( L1 \), \( L2 \), and \( L3 \). - **Connections**: - The inductor is connected in series with the parallel loads. - The voltage across the loads is indicated as \( V_o \). The problem requires calculating electrical impedance values and understanding complex power relationships in AC circuits.
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Step 1: Determine the given variables:-
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Step 2: Redraw the circuit diagram-
VIEW
Step 3: (a) Calculating impedance of load 1-
VIEW
Step 4: (a) Calculating impedance of load 2-
VIEW
Step 5: Calculating the impedance and current of load 3
VIEW
Step 6: (b) The amplitude and the phase of the voltage Vg
VIEW
Solution
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