Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

derive the mathematical model and find the transfer function please

 

 

 

Please answer in typing format please

I will like it please ASAP

 

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.
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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.
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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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