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For the three circuits shown below, determine the Total Impedance. Express your answer in Polar and Rectangular forms, and draw the Impedance diagram. \ show all the work

For the three circuits shown below, determine the Total Impedance. Express your answer in Polar and Rectangular forms, and draw the Impedance diagram. \ show all the work

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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  1. For the three circuits shown below, determine the Total Impedance. Express your answer in Polar and Rectangular forms, and draw the Impedance diagram. \

show all the work 

**Problem 8:** For the three circuits shown below, determine the Total Impedance. Express your answer in Polar and Rectangular forms, and draw the Impedance diagram. **Circuit Diagrams:** 1. **Diagram (a):** - Resistor (R) = 3 Ω - Inductive Reactance (\(X_L\)) = 4 Ω - Capacitive Reactance (\(X_C\)) = 5 Ω 2. **Diagram (b):** - Resistor (R) = 1 kΩ - Inductive Reactance (\(X_{L1}\)) = 2 kΩ - Capacitive Reactance (\(X_C\)) = 4 kΩ - Inductive Reactance (\(X_{L2}\)) = 6 kΩ 3. **Diagram (c):** - Resistor (R) = 470 Ω - Inductor \(L_1\) = 47 mH - Capacitor (C) = 0.1 μF - Inductor \(L_2\) = 200 mH - Frequency (f) = 1 kHz **Instructions:** - Calculate the total impedance (\(Z_T\)) for each circuit using the given values. - Express the results in both Polar and Rectangular forms. - Draw the impedance diagram for each circuit to represent the calculated impedances visually.
Transcribed Image Text:**Problem 8:** For the three circuits shown below, determine the Total Impedance. Express your answer in Polar and Rectangular forms, and draw the Impedance diagram. **Circuit Diagrams:** 1. **Diagram (a):** - Resistor (R) = 3 Ω - Inductive Reactance (\(X_L\)) = 4 Ω - Capacitive Reactance (\(X_C\)) = 5 Ω 2. **Diagram (b):** - Resistor (R) = 1 kΩ - Inductive Reactance (\(X_{L1}\)) = 2 kΩ - Capacitive Reactance (\(X_C\)) = 4 kΩ - Inductive Reactance (\(X_{L2}\)) = 6 kΩ 3. **Diagram (c):** - Resistor (R) = 470 Ω - Inductor \(L_1\) = 47 mH - Capacitor (C) = 0.1 μF - Inductor \(L_2\) = 200 mH - Frequency (f) = 1 kHz **Instructions:** - Calculate the total impedance (\(Z_T\)) for each circuit using the given values. - Express the results in both Polar and Rectangular forms. - Draw the impedance diagram for each circuit to represent the calculated impedances visually.
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