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4.2 Given the following circuit with three load R=10ohm, XL=40ohm, Xc=-30ohm, find the following: a. Current (phasor) b. Voltage (phasor) across each component Power factor of the equivalent impedance Zeg of the three loads jxe jXc. d. Complex power supplied by the source

4.2 Given the following circuit with three load R=10ohm, XL=40ohm, Xc=-30ohm, find the following: a. Current (phasor) b. Voltage (phasor) across each component Power factor of the equivalent impedance Zeg of the three loads jxe jXc. d. Complex power supplied by the source

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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## Circuit Analysis Problem ### 4.2 Given the following circuit with three loads: - Resistance \( R = 10 \, \text{ohm} \) - Inductive reactance \( X_L = 40 \, \text{ohm} \) - Capacitive reactance \( X_C = -30 \, \text{ohm} \) ### Find the following: #### a. Current (phasor) *Calculate the phasor current through the circuit.* #### b. Voltage (phasor) across each component *Determine the phasor voltage across the resistor, inductor, and capacitor.* #### c. Power factor of the equivalent impedance \( Z_{\text{eq}} \) of the three loads *Calculate the power factor considering the equivalent impedance of the combined loads.* #### d. Complex power supplied by the source *Determine the complex power supplied by the voltage source.* ### Circuit Diagram The circuit diagram includes: - A source voltage \( V_s = 400 \angle 0^\circ \, \text{V} \). - A resistor \( R \) followed by: - An inductor with reactance \( jX_L \) - A capacitor with reactance \( -jX_C \) These components are connected in series. The phasor diagram aids in visualizing current and voltage relationships across the components, based on the given reactance and resistance values.
Transcribed Image Text:## Circuit Analysis Problem ### 4.2 Given the following circuit with three loads: - Resistance \( R = 10 \, \text{ohm} \) - Inductive reactance \( X_L = 40 \, \text{ohm} \) - Capacitive reactance \( X_C = -30 \, \text{ohm} \) ### Find the following: #### a. Current (phasor) *Calculate the phasor current through the circuit.* #### b. Voltage (phasor) across each component *Determine the phasor voltage across the resistor, inductor, and capacitor.* #### c. Power factor of the equivalent impedance \( Z_{\text{eq}} \) of the three loads *Calculate the power factor considering the equivalent impedance of the combined loads.* #### d. Complex power supplied by the source *Determine the complex power supplied by the voltage source.* ### Circuit Diagram The circuit diagram includes: - A source voltage \( V_s = 400 \angle 0^\circ \, \text{V} \). - A resistor \( R \) followed by: - An inductor with reactance \( jX_L \) - A capacitor with reactance \( -jX_C \) These components are connected in series. The phasor diagram aids in visualizing current and voltage relationships across the components, based on the given reactance and resistance values.
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