Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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For the circuit shown, \( Z_L = 21 - j45 \, \Omega \). What component is needed to form impedance \( Z_{PFC} \) in parallel with \( Z_L \) such that the load achieves unity power factor? - **Voltage Source:** \( 15\angle{0^\circ} \, V \) - **Angular Frequency:** \( \omega = 175 \, \text{rad/s} \) **Circuit Diagram:** The diagram consists of a voltage source in series with two parallel impedances: 1. \( Z_L \) (Load Impedance): A complex impedance of \( 21 - j45 \, \Omega \). 2. \( Z_{PFC} \) (Power Factor Correction Impedance): This is the component that needs to be determined to achieve a unity power factor. **Objective:** Determine the required \( Z_{PFC} \) to make the total impedance purely resistive, thus achieving a power factor of 1.
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Transcribed Image Text:For the circuit shown, \( Z_L = 21 - j45 \, \Omega \). What component is needed to form impedance \( Z_{PFC} \) in parallel with \( Z_L \) such that the load achieves unity power factor? - **Voltage Source:** \( 15\angle{0^\circ} \, V \) - **Angular Frequency:** \( \omega = 175 \, \text{rad/s} \) **Circuit Diagram:** The diagram consists of a voltage source in series with two parallel impedances: 1. \( Z_L \) (Load Impedance): A complex impedance of \( 21 - j45 \, \Omega \). 2. \( Z_{PFC} \) (Power Factor Correction Impedance): This is the component that needs to be determined to achieve a unity power factor. **Objective:** Determine the required \( Z_{PFC} \) to make the total impedance purely resistive, thus achieving a power factor of 1.
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