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Problem 5-5. For the circuit of figure P5-5, use a number of source transformations to find the Thevenin equivalent with respect to the terminals where the load resistor R₁ is connected. Using this Thevenin equivalent, find and plot I, as a function of R₁, V₁ as a function of R₁, and P₁ as a function of R₁, for a range of load resistance 0.1RT ≤ R₁ ≤ 10RTh- 1A 20V R₁ V₂ 10Ω ww 4522A 4Ω 1092 9Ω www 3Ω ww 802 602 1A 6V 2002 2A 502 5Ω 2V 8V 492 ww 2A

Problem 5-5. For the circuit of figure P5-5, use a number of source transformations to find the Thevenin equivalent with respect to the terminals where the load resistor R₁ is connected. Using this Thevenin equivalent, find and plot I, as a function of R₁, V₁ as a function of R₁, and P₁ as a function of R₁, for a range of load resistance 0.1RT ≤ R₁ ≤ 10RTh- 1A 20V R₁ V₂ 10Ω ww 4522A 4Ω 1092 9Ω www 3Ω ww 802 602 1A 6V 2002 2A 502 5Ω 2V 8V 492 ww 2A

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem 5-5: Thevenin Equivalent Circuit Analysis** For the circuit depicted in Figure P5-5, apply a series of source transformations to identify the Thevenin equivalent concerning the terminals connected to the load resistor \( R_L \). Utilizing this Thevenin equivalent, plot the following as functions of \( R_L \): - \( I_L \) (load current) - \( V_L \) (load voltage) - \( P_L \) (load power) These should be plotted for a range of load resistances satisfying \( 0.1R_{Th} \leq R_L \leq 10R_{Th} \). **Circuit Description:** - **Voltage Sources:** - A 20V source is connected with its positive terminal linked to a 10Ω resistor. - A 6V source is connected with its positive terminal facing a 3Ω resistor. - An 8V source is connected in parallel with a 5Ω resistor and a 2A current source. - A 2V source with its negative terminal connected to the circuit ground. - **Current Sources:** - A 1A source is positioned between two 8Ω resistors. - A 2A source is parallel with an 8V source and a 5Ω resistor. - Another 2A current source is in series with a 4Ω resistor. - A 1A source is in parallel with a 4Ω resistor. - **Resistors:** - There are resistors of 10Ω, 9Ω, 8Ω, 3Ω, 6Ω, and 4Ω placed at various points in the circuit. - The load resistor \( R_L \) is where \( I_L \) and \( V_L \) are measured. **Circuit Analysis:** - Utilize source transformation techniques (converting between voltage and current sources, adjusting parallel and series component combinations) to simplify the circuit to a single voltage source and series resistance. - Determine the Thevenin resistance \( R_{Th} \) and Thevenin voltage \( V_{Th} \) from the simplified circuit. - With the Thevenin equivalent, calculate the load current \( I_L \), voltage across the load \( V_L \), and power \( P_L = I_L^2 \cdot R_L \). **Graphical Plots
Transcribed Image Text:**Problem 5-5: Thevenin Equivalent Circuit Analysis** For the circuit depicted in Figure P5-5, apply a series of source transformations to identify the Thevenin equivalent concerning the terminals connected to the load resistor \( R_L \). Utilizing this Thevenin equivalent, plot the following as functions of \( R_L \): - \( I_L \) (load current) - \( V_L \) (load voltage) - \( P_L \) (load power) These should be plotted for a range of load resistances satisfying \( 0.1R_{Th} \leq R_L \leq 10R_{Th} \). **Circuit Description:** - **Voltage Sources:** - A 20V source is connected with its positive terminal linked to a 10Ω resistor. - A 6V source is connected with its positive terminal facing a 3Ω resistor. - An 8V source is connected in parallel with a 5Ω resistor and a 2A current source. - A 2V source with its negative terminal connected to the circuit ground. - **Current Sources:** - A 1A source is positioned between two 8Ω resistors. - A 2A source is parallel with an 8V source and a 5Ω resistor. - Another 2A current source is in series with a 4Ω resistor. - A 1A source is in parallel with a 4Ω resistor. - **Resistors:** - There are resistors of 10Ω, 9Ω, 8Ω, 3Ω, 6Ω, and 4Ω placed at various points in the circuit. - The load resistor \( R_L \) is where \( I_L \) and \( V_L \) are measured. **Circuit Analysis:** - Utilize source transformation techniques (converting between voltage and current sources, adjusting parallel and series component combinations) to simplify the circuit to a single voltage source and series resistance. - Determine the Thevenin resistance \( R_{Th} \) and Thevenin voltage \( V_{Th} \) from the simplified circuit. - With the Thevenin equivalent, calculate the load current \( I_L \), voltage across the load \( V_L \), and power \( P_L = I_L^2 \cdot R_L \). **Graphical Plots
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