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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Answered: For the circuit shown, ZL = 21 - j45 N.…

For the circuit shown, ZL = 21 - j45 N. What component is needed to form impedance ZpFc in parallel with Z, such that the load achieves unity power factor? 1520° V ( ZPFC w- 175 rad/s

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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Question

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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