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Part A] Assuming a transmission line with Zo=50 ohms, draw the corresponding Bergeron diagram. (the answer is already on the graph, but please understand how it's drawn!) Part B] Plot the voltage waveforms at the input (in other words, v(0,t) and at the load (in other words, v(I,t). 1=0 Driver Z,, » T Load

Part A] Assuming a transmission line with Zo=50 ohms, draw the corresponding Bergeron diagram. (the answer is already on the graph, but please understand how it's drawn!) Part B] Plot the voltage waveforms at the input (in other words, v(0,t) and at the load (in other words, v(I,t). 1=0 Driver Z,, » T Load

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 #2:** The following circuit uses a driver and a load whose non-linear I-V characteristics are shown below. **Part A:** Assuming a transmission line with \( Z_0 = 50 \) ohms, draw the corresponding Bergeron diagram. (The answer is already on the graph, but please understand how it’s drawn!) **Part B:** Plot the voltage waveforms at the input (in other words, \( v(0,t) \)) and at the load (in other words, \( v(l,t) \)). --- ### Diagram Details **Circuit Diagram:** - The diagram represents a transmission line between a Driver and a Load. - Transmission line properties are indicated with a characteristic impedance \( Z_0 \), length \( l \), and travel time \( \tau \). - The positions \( z = 0 \) and \( z = l \) represent the beginning and the end of the transmission line, respectively. **Graph:** - X-axis: Voltage (V), ranging from 0 to 1.5 V. - Y-axis: Current (mA), ranging from 0 to 40 mA. - Two sets of curves are plotted to represent the Driver and Load characteristics. - The Driver and Load curves intersect at various points (indicated as \( D_1, D_2, \) and so on). - Lines are drawn representing the initial voltage \( V_T \) and reflected voltage \( V_T' \). - Additional lines (\( i = -0.02V_l \) and \( i = 0.02V_l \)) represent constraints or guidelines for analysis. **Bergeron Diagram:** - The Bergeron diagram helps in understanding how waveforms propagate through the transmission line, taking into account voltage and current reflections. - It's used to plot the voltage along the transmission line over time, considering any reflections from the load or driver. ### Educational Context This problem is aimed at teaching students how to analyze transmission lines with non-linear components using the Bergeron method. Understanding such diagrams allows for better comprehension of signal propagation, reflection, and distortion in real-world circuits.
Transcribed Image Text:**Problem #2:** The following circuit uses a driver and a load whose non-linear I-V characteristics are shown below. **Part A:** Assuming a transmission line with \( Z_0 = 50 \) ohms, draw the corresponding Bergeron diagram. (The answer is already on the graph, but please understand how it’s drawn!) **Part B:** Plot the voltage waveforms at the input (in other words, \( v(0,t) \)) and at the load (in other words, \( v(l,t) \)). --- ### Diagram Details **Circuit Diagram:** - The diagram represents a transmission line between a Driver and a Load. - Transmission line properties are indicated with a characteristic impedance \( Z_0 \), length \( l \), and travel time \( \tau \). - The positions \( z = 0 \) and \( z = l \) represent the beginning and the end of the transmission line, respectively. **Graph:** - X-axis: Voltage (V), ranging from 0 to 1.5 V. - Y-axis: Current (mA), ranging from 0 to 40 mA. - Two sets of curves are plotted to represent the Driver and Load characteristics. - The Driver and Load curves intersect at various points (indicated as \( D_1, D_2, \) and so on). - Lines are drawn representing the initial voltage \( V_T \) and reflected voltage \( V_T' \). - Additional lines (\( i = -0.02V_l \) and \( i = 0.02V_l \)) represent constraints or guidelines for analysis. **Bergeron Diagram:** - The Bergeron diagram helps in understanding how waveforms propagate through the transmission line, taking into account voltage and current reflections. - It's used to plot the voltage along the transmission line over time, considering any reflections from the load or driver. ### Educational Context This problem is aimed at teaching students how to analyze transmission lines with non-linear components using the Bergeron method. Understanding such diagrams allows for better comprehension of signal propagation, reflection, and distortion in real-world circuits.
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