1. 2. 3. 4. 5. In Rn Eth Rth VL(Min) VL(Max) IL(Min) IL(Max) R₁ max pwr
1. 2. 3. 4. 5. In Rn Eth Rth VL(Min) VL(Max) IL(Min) IL(Max) R₁ max pwr
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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I have included the circuit in question as well as the questions/data table, thanks.
Transcribed Image Text:### Educational Circuit Analysis Worksheet
This worksheet is designed to help students analyze and calculate key parameters in electrical circuits. Below are the components and variables typically involved in analyzing circuit performance:
1. **Thevenin's Equivalent Parameters**
- **Eth**: Thevenin's Equivalent Voltage
- **Rth**: Thevenin's Equivalent Resistance
2. **Current Analysis**
- **In**: Current through circuit prior to load
- **Rn**: Resistance affecting current calculation
3. **Load Voltage Evaluation**
- **V<sub>L(Min)</sub>**: Minimum Load Voltage
- **V<sub>L(Max)</sub>**: Maximum Load Voltage
4. **Load Current Evaluation**
- **I<sub>L(Min)</sub>**: Minimum Load Current
- **I<sub>L(Max)</sub>**: Maximum Load Current
5. **Load Resistance for Maximum Power Transfer**
- **R<sub>L max pwr</sub>**: Load Resistance for Maximum Power Transfer
These parameters aid in determining the efficiency and performance of an electrical circuit, particularly when converting to the Thevenin equivalent model. By calculating and analyzing these values, students can gain a thorough understanding of how different elements within a circuit interact.
Note: Blank spaces provided next to each parameter allow students to input or calculate the necessary values during analysis exercises.
![**Figure 7-1 Description:**
The diagram shows an electrical network with a voltage source \(E = 15 \, \text{V}\) and three resistors arranged as follows:
- \(R_1 = 4.7 \, \text{k}\Omega\) in series with \(R_2 = 3.3 \, \text{k}\Omega\).
- \(R_3 = 680 \, \Omega\) in parallel with the series combination of \(R_1\) and \(R_2\).
- A pair of output terminals labeled \(a\) and \(b\) are connected to a variable load resistor \(R_L\) which can vary from \(0\) to \(10 \, \text{k}\Omega\). The output voltage across these terminals is labeled \(V_L\).
**Text Details:**
**Thévenin’s Theorem:**
Any linear bilateral network may be reduced to a simplified two-terminal network consisting of a single voltage source, \(E_{\text{Th}}\), in series with a single resistor, \(R_{\text{Th}}\). Once the original network is simplified, any load connected to the output terminals will behave exactly as if the load were connected in series with \(E_{\text{Th}}\) and \(R_{\text{Th}}\).
**Norton’s Theorem:**
Any linear bilateral network may be reduced to a simplified two-terminal network consisting of a single current source, \(I_N\), in parallel with a single resistor, \(R_N\). A Thévenin equivalent circuit is easily converted into a Norton equivalent by performing a source conversion as follows:
\[
R_N = R_{\text{Th}} \quad (7-1)
\]
\[
I_N = \frac{E_{\text{Th}}}{R_{\text{Th}}} \quad (7-2)
\]
When a load is connected across the output terminals, the circuit will behave exactly as if the load were connected in parallel with \(I_N\) and \(R_N\).
**Maximum Power Transfer Theorem:**
Maximum power will be delivered to the load resistance when the load resistance is equal to the Thévenin (or Norton) resistance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e568bb0-d12e-4c46-a939-67d274aff65f%2F563b8695-7af5-4e2f-a548-1c95627413d7%2Fsiskvrv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Figure 7-1 Description:**
The diagram shows an electrical network with a voltage source \(E = 15 \, \text{V}\) and three resistors arranged as follows:
- \(R_1 = 4.7 \, \text{k}\Omega\) in series with \(R_2 = 3.3 \, \text{k}\Omega\).
- \(R_3 = 680 \, \Omega\) in parallel with the series combination of \(R_1\) and \(R_2\).
- A pair of output terminals labeled \(a\) and \(b\) are connected to a variable load resistor \(R_L\) which can vary from \(0\) to \(10 \, \text{k}\Omega\). The output voltage across these terminals is labeled \(V_L\).
**Text Details:**
**Thévenin’s Theorem:**
Any linear bilateral network may be reduced to a simplified two-terminal network consisting of a single voltage source, \(E_{\text{Th}}\), in series with a single resistor, \(R_{\text{Th}}\). Once the original network is simplified, any load connected to the output terminals will behave exactly as if the load were connected in series with \(E_{\text{Th}}\) and \(R_{\text{Th}}\).
**Norton’s Theorem:**
Any linear bilateral network may be reduced to a simplified two-terminal network consisting of a single current source, \(I_N\), in parallel with a single resistor, \(R_N\). A Thévenin equivalent circuit is easily converted into a Norton equivalent by performing a source conversion as follows:
\[
R_N = R_{\text{Th}} \quad (7-1)
\]
\[
I_N = \frac{E_{\text{Th}}}{R_{\text{Th}}} \quad (7-2)
\]
When a load is connected across the output terminals, the circuit will behave exactly as if the load were connected in parallel with \(I_N\) and \(R_N\).
**Maximum Power Transfer Theorem:**
Maximum power will be delivered to the load resistance when the load resistance is equal to the Thévenin (or Norton) resistance.
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Step 1: Summarize the data.
VIEWStep 2: 1. Determine E_th.
VIEWStep 3: Determine R_th.
VIEWStep 4: 2. Determine the Norton's equivalent circuit.
VIEWStep 5: 3. Determine V_L(min) and V_L(max).
VIEWStep 6: 4. Determine I_L(min) and I_L(max).
VIEWStep 7: 5. Determine the value of R_L so that maximum power transferred to it and P_max.
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