For the following circuit determine the maximum power delivered to the load R using Thevenin's equivalent circuit method by finding Voc and RTH first. IK IK IK 12v RL
For the following circuit determine the maximum power delivered to the load R using Thevenin's equivalent circuit method by finding Voc and RTH first. IK IK IK 12v RL
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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![**Instructions:**
For the following circuit, determine the maximum power delivered to the load \( R_L \) using Thevenin’s equivalent circuit method by finding \( V_{OC} \) and \( R_{TH} \) first.
**Circuit Description:**
- The circuit consists of a 12V voltage source on the left.
- Connected in series is a 1KΩ resistor.
- A 4mA current source is connected in parallel with the 1KΩ resistor and is grounded.
- The circuit continues with another 1KΩ resistor in series.
- Following this is a 2KΩ resistor, also in series.
- Finally, another 1KΩ resistor is in series with the rest and connected to the load \( R_L \).
**Diagram Explanation:**
- The diagram shows a linear circuit with resistors and a combination of voltage and current sources.
- Resistors are labeled as 1KΩ, 2KΩ, and 1KΩ in different positions within the circuit.
- The task is to utilize Thevenin's theorem to simplify the circuit and calculate the required parameters for maximum power transfer.
**Steps:**
1. Identify and calculate the open-circuit voltage (\( V_{OC} \)).
2. Determine Thevenin's equivalent resistance (\( R_{TH} \)).
3. Use these values to analyze power transfer characteristics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89d31404-901c-4cb4-8788-ffc7f5a8d5c1%2Feb3df476-473b-4d8e-b71c-dd6a8f7b2cfd%2Feyqt9df_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions:**
For the following circuit, determine the maximum power delivered to the load \( R_L \) using Thevenin’s equivalent circuit method by finding \( V_{OC} \) and \( R_{TH} \) first.
**Circuit Description:**
- The circuit consists of a 12V voltage source on the left.
- Connected in series is a 1KΩ resistor.
- A 4mA current source is connected in parallel with the 1KΩ resistor and is grounded.
- The circuit continues with another 1KΩ resistor in series.
- Following this is a 2KΩ resistor, also in series.
- Finally, another 1KΩ resistor is in series with the rest and connected to the load \( R_L \).
**Diagram Explanation:**
- The diagram shows a linear circuit with resistors and a combination of voltage and current sources.
- Resistors are labeled as 1KΩ, 2KΩ, and 1KΩ in different positions within the circuit.
- The task is to utilize Thevenin's theorem to simplify the circuit and calculate the required parameters for maximum power transfer.
**Steps:**
1. Identify and calculate the open-circuit voltage (\( V_{OC} \)).
2. Determine Thevenin's equivalent resistance (\( R_{TH} \)).
3. Use these values to analyze power transfer characteristics.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Thevenine resistance is the resistance seen from the RL terminals and thevenine voltage is the open circuit voltage at RL terminals.
For maximum power transfer load resistance RL = thevenine resistance Rth.
And maximum power to load Pmax =(Vth2/(4*Rth))
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