E = 100 V < 0° Μ 3 Ω +₁₁ 4Ω Xc² 2 ΖΩ

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find the Thévenin’s equivalent circuit

The image depicts an electrical circuit used for educational purposes. It consists of the following components:

1. **Voltage Source (E):** 
   - The source has a voltage of 100 V with a phase angle of 0 degrees, represented as \( E = 100 \, V \, \angle \, 0^\circ \).

2. **Resistor (R):**
   - A resistor with a resistance of 3 ohms (\( R = 3 \, \Omega \)).

3. **Inductive Reactance (\(X_L\)):**
   - An inductor with an inductive reactance of 4 ohms (\( X_L = 4 \, \Omega \)).

4. **Capacitive Reactance (\(X_C\)):**
   - A capacitor with a capacitive reactance of 2 ohms (\( X_C = 2 \, \Omega \)).

5. **Circuit Configuration:**
   - The circuit is grounded and includes terminals labeled \( a \) and \( b \), connected across the capacitor. 

Below the circuit diagram, there are placeholders to fill in the Thevenin equivalent parameters:

- \( Z_{\text{Th}} = \) _____ \( \angle \) _____° units
- \( E_{\text{Th}} = \) _____ \( \angle \) _____° units

These fields are intended to calculate and display the equivalent Thevenin impedance (\(Z_{\text{Th}}\)) and Thevenin voltage (\(E_{\text{Th}}\)) for the circuit seen from points \( a \) and \( b \).
Transcribed Image Text:The image depicts an electrical circuit used for educational purposes. It consists of the following components: 1. **Voltage Source (E):** - The source has a voltage of 100 V with a phase angle of 0 degrees, represented as \( E = 100 \, V \, \angle \, 0^\circ \). 2. **Resistor (R):** - A resistor with a resistance of 3 ohms (\( R = 3 \, \Omega \)). 3. **Inductive Reactance (\(X_L\)):** - An inductor with an inductive reactance of 4 ohms (\( X_L = 4 \, \Omega \)). 4. **Capacitive Reactance (\(X_C\)):** - A capacitor with a capacitive reactance of 2 ohms (\( X_C = 2 \, \Omega \)). 5. **Circuit Configuration:** - The circuit is grounded and includes terminals labeled \( a \) and \( b \), connected across the capacitor. Below the circuit diagram, there are placeholders to fill in the Thevenin equivalent parameters: - \( Z_{\text{Th}} = \) _____ \( \angle \) _____° units - \( E_{\text{Th}} = \) _____ \( \angle \) _____° units These fields are intended to calculate and display the equivalent Thevenin impedance (\(Z_{\text{Th}}\)) and Thevenin voltage (\(E_{\text{Th}}\)) for the circuit seen from points \( a \) and \( b \).
Expert Solution
Step 1: Question analysis:

calculation of Thevenin equivalent of circuit:

Let us redraw  circuit in impedance domain:

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