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A) State Maximum power transfer theorem. B) Find Thevenin's equivalent circuit for the terminals across 32 resistor. C) What would be the value of 392 resistor for maximum power transfer. 552 ΤΩ ww F-3 36V {4Ω 3 ΩΣ

A) State Maximum power transfer theorem. B) Find Thevenin's equivalent circuit for the terminals across 32 resistor. C) What would be the value of 392 resistor for maximum power transfer. 552 ΤΩ ww F-3 36V {4Ω 3 ΩΣ

Introductory Circuit Analysis (13th Edition)
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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### Maximum Power Transfer Theorem and Thevenin's Equivalent Circuit #### A) State Maximum Power Transfer Theorem. The Maximum Power Transfer Theorem states that in a linear network with a single power source and multiple resistive elements, maximum power is transferred to the load resistor when the load resistance is equal to the Thevenin resistance as seen from the load terminals. #### B) Find Thevenin’s Equivalent Circuit for the Terminals Across the 3Ω Resistor. To find the Thevenin's equivalent circuit: 1. **Remove the 3Ω resistor** from the original circuit. 2. **Calculate Thevenin voltage (Vth):** - Find the open-circuit voltage across the terminals where the 3Ω resistor was connected. Analysing the circuit: - Combine the resistors in series and parallel as needed to simplify the calculation. - Use appropriate circuit analysis techniques (Ohm’s Law, Voltage Division, etc.) to find the open-circuit voltage. 3. **Calculate Thevenin resistance (Rth):** - Short the voltage source (36V) and find the equivalent resistance seen from the open terminals where the 3Ω resistor was removed. #### C) What Would be the Value of 3Ω Resistor for Maximum Power Transfer? For maximum power transfer, the load resistor (in this case, originally 3Ω) should equal to the Thevenin resistance (Rth) calculated in part B. #### Circuit Diagram Explanation: The diagram provided shows a circuit with: - A 36V voltage source. - Four resistors connected as follows: - A 5Ω resistor in series with the 36V source. - A 4Ω resistor connected in series with the previous 5Ω resistor. - A 1Ω resistor connected in parallel with the combined resistance of 5Ω and 4Ω resistors. - A 3Ω resistor connected in series with both the 1Ω resistor and the combined series resistance (5Ω and 4Ω resistors). Understanding this circuit diagram aids in determining Thevenin's equivalent voltage and resistance, necessary for solving maximum power transfer problems.
Transcribed Image Text:### Maximum Power Transfer Theorem and Thevenin's Equivalent Circuit #### A) State Maximum Power Transfer Theorem. The Maximum Power Transfer Theorem states that in a linear network with a single power source and multiple resistive elements, maximum power is transferred to the load resistor when the load resistance is equal to the Thevenin resistance as seen from the load terminals. #### B) Find Thevenin’s Equivalent Circuit for the Terminals Across the 3Ω Resistor. To find the Thevenin's equivalent circuit: 1. **Remove the 3Ω resistor** from the original circuit. 2. **Calculate Thevenin voltage (Vth):** - Find the open-circuit voltage across the terminals where the 3Ω resistor was connected. Analysing the circuit: - Combine the resistors in series and parallel as needed to simplify the calculation. - Use appropriate circuit analysis techniques (Ohm’s Law, Voltage Division, etc.) to find the open-circuit voltage. 3. **Calculate Thevenin resistance (Rth):** - Short the voltage source (36V) and find the equivalent resistance seen from the open terminals where the 3Ω resistor was removed. #### C) What Would be the Value of 3Ω Resistor for Maximum Power Transfer? For maximum power transfer, the load resistor (in this case, originally 3Ω) should equal to the Thevenin resistance (Rth) calculated in part B. #### Circuit Diagram Explanation: The diagram provided shows a circuit with: - A 36V voltage source. - Four resistors connected as follows: - A 5Ω resistor in series with the 36V source. - A 4Ω resistor connected in series with the previous 5Ω resistor. - A 1Ω resistor connected in parallel with the combined resistance of 5Ω and 4Ω resistors. - A 3Ω resistor connected in series with both the 1Ω resistor and the combined series resistance (5Ω and 4Ω resistors). Understanding this circuit diagram aids in determining Thevenin's equivalent voltage and resistance, necessary for solving maximum power transfer problems.
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