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19. The circuit shown in Figure 7,49u has a load with a range of R- 100n to I kfl. Determine the normal range of V, for the circuit using its Thevenin equivalent.

19. The circuit shown in Figure 7,49u has a load with a range of R- 100n to I kfl. Determine the normal range of V, for the circuit using its Thevenin equivalent.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Figure 7.49: Circuit Analysis and Thevenin Equivalent **Exercises:** **18.** Derive the Thevenin equivalent of the circuit shown in Figure 7.48b. **19.** The circuit shown in Figure 7.49 has a load with a range of \( R_L = 100 \, \Omega \) to \( 1 \, \text{k}\Omega \). Determine the normal range of \( V_L \) for the circuit using its Thevenin equivalent. #### Description of Circuits: **Figure 7.49:** - **Diagram (a):** - **Components:** - Voltage Source (\( V_S \)): 20 V - Resistors: - \( R_1 = 3.3 \, \text{k}\Omega \) - \( R_2 = 2.2 \, \text{k}\Omega \) - \( R_3 = 1 \, \text{k}\Omega \) - Load Resistor (\( R_L \)) - **Diagram (b):** - **Components:** - Voltage Source (\( V_S \)): 9 V - Resistors: - \( R_1 = 120 \, \Omega \) - \( R_2 = 200 \, \Omega \) - \( R_3 = 100 \, \Omega \) - Load Resistor (\( R_L \)) ### Detailed Analysis: These circuits are designed to analyze the Thevenin equivalent to simplify complex networks. By reducing the circuit to a simplified version (voltage source and series resistor), analysis becomes more straightforward, especially when determining the effect of varying load resistances \( R_L \). - **Thevenin's Theorem:** - This technique helps in analyzing the voltages and currents in components of electrical circuits. For circuits with varying load resistances, this simplification is crucial for efficient analysis. Understanding the Thevenin equivalent involves calculating the open-circuit voltage across the load terminals and the equivalent series resistance seen by the load. Adjustments to \( R_L \) will then affect the load voltage \( V_L \), which can be calculated using this simplified model.
Transcribed Image Text:### Figure 7.49: Circuit Analysis and Thevenin Equivalent **Exercises:** **18.** Derive the Thevenin equivalent of the circuit shown in Figure 7.48b. **19.** The circuit shown in Figure 7.49 has a load with a range of \( R_L = 100 \, \Omega \) to \( 1 \, \text{k}\Omega \). Determine the normal range of \( V_L \) for the circuit using its Thevenin equivalent. #### Description of Circuits: **Figure 7.49:** - **Diagram (a):** - **Components:** - Voltage Source (\( V_S \)): 20 V - Resistors: - \( R_1 = 3.3 \, \text{k}\Omega \) - \( R_2 = 2.2 \, \text{k}\Omega \) - \( R_3 = 1 \, \text{k}\Omega \) - Load Resistor (\( R_L \)) - **Diagram (b):** - **Components:** - Voltage Source (\( V_S \)): 9 V - Resistors: - \( R_1 = 120 \, \Omega \) - \( R_2 = 200 \, \Omega \) - \( R_3 = 100 \, \Omega \) - Load Resistor (\( R_L \)) ### Detailed Analysis: These circuits are designed to analyze the Thevenin equivalent to simplify complex networks. By reducing the circuit to a simplified version (voltage source and series resistor), analysis becomes more straightforward, especially when determining the effect of varying load resistances \( R_L \). - **Thevenin's Theorem:** - This technique helps in analyzing the voltages and currents in components of electrical circuits. For circuits with varying load resistances, this simplification is crucial for efficient analysis. Understanding the Thevenin equivalent involves calculating the open-circuit voltage across the load terminals and the equivalent series resistance seen by the load. Adjustments to \( R_L \) will then affect the load voltage \( V_L \), which can be calculated using this simplified model.
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