3 kn i. 11 kn 1. Vo Vs O 17 ka 25 i0 97 ka Vo = ? Vs

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The image depicts an electrical circuit diagram. Here is a detailed transcription and explanation suitable for an educational website:

**Circuit Diagram Description:**

1. **Voltage Source (Vs):** The circuit starts on the left with a voltage source denoted as \( V_s \).

2. **Resistors:**
   - The circuit includes several resistors with different resistance values:
     - An 11 kΩ resistor is connected directly in series with a 17 kΩ resistor.
     - There is an arrow labeled \( i_x \) between these two resistors indicating the direction of current flow.
     - A 25 (possibly denoted by another component) is connected parallel to the current path after the 17 kΩ resistor.

3. **Controlled Source:**
   - A dependent current source labeled \( i_x \) appears on the path, suggesting it relies on the current through the 25-component.

4. **More Resistors:**
   - The circuit also includes a 3 kΩ resistor connected in series, following the dependent source, leading towards the right end of the diagram.
   - Finally, another resistor of 97 kΩ is connected.

5. **Output Voltage (Vo):**
   - The rightmost segment of the diagram shows the output voltage \( V_o \) across the combination of the 3 kΩ and 97 kΩ resistors.
   - There is an arrow labeled \( i_o \) indicating the direction of the output current.

**Equation:**

The diagram presents the question of finding the ratio of output voltage to input voltage, expressed as:
\[ \frac{V_o}{V_s} = ? \]

**Analysis Overview:**

- This is a typical example of an electrical network involving resistors and a dependent current source.
- The objective is to determine the output to input voltage ratio \(\frac{V_o}{V_s}\) to understand the transfer function of this circuit.

For a more detailed analysis, one would typically apply circuit theorems like Ohm’s Law, Kirchhoff's Laws, and possibly the superposition principle, depending upon the specifics of the design.

This exercise helps in understanding how input voltages affect outputs in networks with dependent sources, a crucial concept in advanced electrical circuit analysis.
Transcribed Image Text:The image depicts an electrical circuit diagram. Here is a detailed transcription and explanation suitable for an educational website: **Circuit Diagram Description:** 1. **Voltage Source (Vs):** The circuit starts on the left with a voltage source denoted as \( V_s \). 2. **Resistors:** - The circuit includes several resistors with different resistance values: - An 11 kΩ resistor is connected directly in series with a 17 kΩ resistor. - There is an arrow labeled \( i_x \) between these two resistors indicating the direction of current flow. - A 25 (possibly denoted by another component) is connected parallel to the current path after the 17 kΩ resistor. 3. **Controlled Source:** - A dependent current source labeled \( i_x \) appears on the path, suggesting it relies on the current through the 25-component. 4. **More Resistors:** - The circuit also includes a 3 kΩ resistor connected in series, following the dependent source, leading towards the right end of the diagram. - Finally, another resistor of 97 kΩ is connected. 5. **Output Voltage (Vo):** - The rightmost segment of the diagram shows the output voltage \( V_o \) across the combination of the 3 kΩ and 97 kΩ resistors. - There is an arrow labeled \( i_o \) indicating the direction of the output current. **Equation:** The diagram presents the question of finding the ratio of output voltage to input voltage, expressed as: \[ \frac{V_o}{V_s} = ? \] **Analysis Overview:** - This is a typical example of an electrical network involving resistors and a dependent current source. - The objective is to determine the output to input voltage ratio \(\frac{V_o}{V_s}\) to understand the transfer function of this circuit. For a more detailed analysis, one would typically apply circuit theorems like Ohm’s Law, Kirchhoff's Laws, and possibly the superposition principle, depending upon the specifics of the design. This exercise helps in understanding how input voltages affect outputs in networks with dependent sources, a crucial concept in advanced electrical circuit analysis.
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