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derive the mathematical model and find the transfer function please

derive the mathematical model and find the transfer function please

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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derive the mathematical model and find the transfer function please

 

 

 

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This diagram represents an electrical circuit with the following components: 1. **Voltage Source**: Represented by \( e_{in}(t) \), which is the input voltage source on the left side of the circuit. 2. **Resistor**: Located at the top of the circuit with a resistance of 5 ohms (5 Ω). 3. **Inductor**: Next to the 5 Ω resistor in series, with an inductance of 2 henries (2 H). 4. **Second Resistor**: Connected in series after the 2 H inductor, with a resistance of 2.5 ohms (2.5 Ω). 5. **Ground**: Connected by a line from the junction between the 2.5 Ω resistor and the 1 H inductor, showing common ground connection for the circuit. 6. **Inductor**: To the right, a second inductor with an inductance of 1 henry (1 H) is drawn in parallel with the output terminal. 7. **Output Voltage**: Labeled as \( e_o \), located parallel to the 1 H inductor on the right side of the circuit. This series-parallel configuration is typical in analyzing circuits with complex impedance, focusing on the relationships and effects of different electrical components on circuit behavior.
Transcribed Image Text:This diagram represents an electrical circuit with the following components: 1. **Voltage Source**: Represented by \( e_{in}(t) \), which is the input voltage source on the left side of the circuit. 2. **Resistor**: Located at the top of the circuit with a resistance of 5 ohms (5 Ω). 3. **Inductor**: Next to the 5 Ω resistor in series, with an inductance of 2 henries (2 H). 4. **Second Resistor**: Connected in series after the 2 H inductor, with a resistance of 2.5 ohms (2.5 Ω). 5. **Ground**: Connected by a line from the junction between the 2.5 Ω resistor and the 1 H inductor, showing common ground connection for the circuit. 6. **Inductor**: To the right, a second inductor with an inductance of 1 henry (1 H) is drawn in parallel with the output terminal. 7. **Output Voltage**: Labeled as \( e_o \), located parallel to the 1 H inductor on the right side of the circuit. This series-parallel configuration is typical in analyzing circuits with complex impedance, focusing on the relationships and effects of different electrical components on circuit behavior.
Expert Solution
Step 1: what is given and what to do:

Given:

a circuit,

Electrical Engineering homework question answer, step 1, image 1

we need to derive the transfer function of the system. 



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