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Q1) For the given circuit, compute the value of load, R₁, for maximum power transfer to the load. Also, find the current 1, going through R, when it has maximum power transfer [Hint: You have to find the Thevenin Equivalent circuit at terminals a-b (by removing R₁). Then connect the equivalent circuit with R₁ c to find I, using a simple KVL.] Write the values of R, and I, in the box provided and draw the 24 V R₂30 Thevenin equivalent circuit to the left of terminals a-b and then connect R, to the right of it and put it in the box provided. Show work clearly. www 60 R₁ ww RL 6Ω

Q1) For the given circuit, compute the value of load, R₁, for maximum power transfer to the load. Also, find the current 1, going through R, when it has maximum power transfer [Hint: You have to find the Thevenin Equivalent circuit at terminals a-b (by removing R₁). Then connect the equivalent circuit with R₁ c to find I, using a simple KVL.] Write the values of R, and I, in the box provided and draw the 24 V R₂30 Thevenin equivalent circuit to the left of terminals a-b and then connect R, to the right of it and put it in the box provided. Show work clearly. www 60 R₁ ww RL 6Ω

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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**Maximum Power Transfer Theorem Problem** --- ### Problem Statement Given the circuit below, compute the value of load \( R_L \) for maximum power transfer to the load. Also, find the current \( I_L \) going through \( R_L \) when it has maximum power transfer. **Hint:** You need to find the Thevenin Equivalent circuit at terminals a-b (by removing \( R_L \)). Then connect the equivalent circuit with \( R_L \) to find \( I_L \) using a simple KVL. ### Steps: 1. **Find Thevenin Equivalent Circuit:** - Remove \( R_L \) from the terminals a-b. - Compute \( V_{th} \) and \( R_{th} \) for the circuit seen from terminals a-b. 2. **Compute \( R_L \) for Maximum Power Transfer:** - Note that \( R_L = R_{th} \) for maximum power transfer. 3. **Connect \( R_L \) and Solve Using KVL:** - Connect \( R_L \) to the Thevenin Equivalent circuit. - Use Kirchhoff's Voltage Law (KVL) to solve for the current \( I_L \). ### Circuit Analysis ![Circuit Diagram](insert-circuit-diagram-url) The circuit consists of the following components: - \( V_0 = 24 \text{V} \) voltage source - \( R_1 = 6\Omega \) - \( R_2 = 3\Omega \) - \( R_3 = 6\Omega \) - Load \( R_L \) ### Thevenin Equivalent Circuit: 1. **Find \( R_{th} \):** - To find \( R_{th} \), deactivate the source \( V_0 \). - Combine resistors \( R_1 \), \( R_2 \), and \( R_3 \) appropriately. 2. **Find \( V_{th} \):** - Calculate the open-circuit voltage across terminals a-b. ### Final Circuit with Load: ![Thevenin Equivalent Circuit with Load](insert-circuit-diagram-url) The equivalent circuit with \( R_L \) connected is as shown above. ### Calculation: Compute and write the values of \( R_L \) and \( I_L \). \[ R_L = \text{__________} \] \[ I_L = \
Transcribed Image Text:**Maximum Power Transfer Theorem Problem** --- ### Problem Statement Given the circuit below, compute the value of load \( R_L \) for maximum power transfer to the load. Also, find the current \( I_L \) going through \( R_L \) when it has maximum power transfer. **Hint:** You need to find the Thevenin Equivalent circuit at terminals a-b (by removing \( R_L \)). Then connect the equivalent circuit with \( R_L \) to find \( I_L \) using a simple KVL. ### Steps: 1. **Find Thevenin Equivalent Circuit:** - Remove \( R_L \) from the terminals a-b. - Compute \( V_{th} \) and \( R_{th} \) for the circuit seen from terminals a-b. 2. **Compute \( R_L \) for Maximum Power Transfer:** - Note that \( R_L = R_{th} \) for maximum power transfer. 3. **Connect \( R_L \) and Solve Using KVL:** - Connect \( R_L \) to the Thevenin Equivalent circuit. - Use Kirchhoff's Voltage Law (KVL) to solve for the current \( I_L \). ### Circuit Analysis ![Circuit Diagram](insert-circuit-diagram-url) The circuit consists of the following components: - \( V_0 = 24 \text{V} \) voltage source - \( R_1 = 6\Omega \) - \( R_2 = 3\Omega \) - \( R_3 = 6\Omega \) - Load \( R_L \) ### Thevenin Equivalent Circuit: 1. **Find \( R_{th} \):** - To find \( R_{th} \), deactivate the source \( V_0 \). - Combine resistors \( R_1 \), \( R_2 \), and \( R_3 \) appropriately. 2. **Find \( V_{th} \):** - Calculate the open-circuit voltage across terminals a-b. ### Final Circuit with Load: ![Thevenin Equivalent Circuit with Load](insert-circuit-diagram-url) The equivalent circuit with \( R_L \) connected is as shown above. ### Calculation: Compute and write the values of \( R_L \) and \( I_L \). \[ R_L = \text{__________} \] \[ I_L = \
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