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21. For the parallel circuits in Fig. 16.81 D, find a series circuit that will have the same total impedance.

21. For the parallel circuits in Fig. 16.81 D, find a series circuit that will have the same total impedance.

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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**Problem Statement:** 21. For the parallel circuits in Fig. 16.81, find a series circuit that will have the same total impedance. **Diagram Description:** - **Figure (a):** - The diagram shows a parallel circuit. - It consists of a resistor (R) with a resistance of 8.2 kΩ and a capacitor (XC) with a capacitive reactance of 20 kΩ. - The total impedance is represented by ZT. - **Figure (b):** - The diagram shows another parallel circuit. - It includes an inductor (XL) with an inductive reactance of 60 Ω, and a resistor (R) with a resistance of 68 Ω, both in parallel with a capacitor (XC) with a capacitive reactance of 20 Ω. - The total impedance for this circuit is also represented by ZT. **Explanation for Educational Context:** This problem involves two parallel circuits with different configurations of resistors, inductors, and capacitors. The challenge is to determine a series circuit configuration that will have an identical total impedance (ZT) as the presented parallel circuits. Understanding these parallel circuits involves analyzing the impedance characteristics of resistors, inductors, and capacitors and applying the principles of AC circuit analysis to derive equivalent series circuit parameters.
Transcribed Image Text:**Problem Statement:** 21. For the parallel circuits in Fig. 16.81, find a series circuit that will have the same total impedance. **Diagram Description:** - **Figure (a):** - The diagram shows a parallel circuit. - It consists of a resistor (R) with a resistance of 8.2 kΩ and a capacitor (XC) with a capacitive reactance of 20 kΩ. - The total impedance is represented by ZT. - **Figure (b):** - The diagram shows another parallel circuit. - It includes an inductor (XL) with an inductive reactance of 60 Ω, and a resistor (R) with a resistance of 68 Ω, both in parallel with a capacitor (XC) with a capacitive reactance of 20 Ω. - The total impedance for this circuit is also represented by ZT. **Explanation for Educational Context:** This problem involves two parallel circuits with different configurations of resistors, inductors, and capacitors. The challenge is to determine a series circuit configuration that will have an identical total impedance (ZT) as the presented parallel circuits. Understanding these parallel circuits involves analyzing the impedance characteristics of resistors, inductors, and capacitors and applying the principles of AC circuit analysis to derive equivalent series circuit parameters.
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