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P2.70. Solve for the power delivered by the volt- age source in Figure P2.70, using the mesh- current method. 5Ω www Mw 792 i₁ 192 www. i3 + 1 62 V Figure P2.70 ww 1192 iz -392

P2.70. Solve for the power delivered by the volt- age source in Figure P2.70, using the mesh- current method. 5Ω www Mw 792 i₁ 192 www. i3 + 1 62 V Figure P2.70 ww 1192 iz -392

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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### Problem P2.70 **Objective:** Solve for the power delivered by the voltage source in Figure P2.70, using the mesh-current method. **Figure P2.70 Analysis:** - **Components:** - A voltage source of 62 V is present with its positive terminal connected downwards indicating its positive polarity. - Resistors are connected across the circuit with values of 1Ω, 3Ω, 5Ω, 7Ω, and 11Ω. - **Current Loops:** - **\(i_1\):** The mesh current flowing in the left loop, counter-clockwise through the 5Ω and 7Ω resistors and the voltage source. - **\(i_2\):** The mesh current flowing in the right loop, counter-clockwise through the 3Ω and 11Ω resistors and the voltage source. - **\(i_3\):** The mesh current flowing in the top loop, counter-clockwise through the 1Ω and 7Ω resistors. **Diagram Overview:** - The circuit is a combination of three meshes. - The voltage source is positioned between the bottom nodes of the circuit. - Each mesh current is depicted with arrows indicating their assumed direction of flow counter-clockwise. **Task:** Apply mesh-current analysis to determine the power delivered by the 62 V voltage source. Calculate the mesh currents \(i_1\), \(i_2\), and \(i_3\) and then determine the power using the relation \(P = V \times I\) where \(I\) is the sum of the currents through the voltage source.
Transcribed Image Text:### Problem P2.70 **Objective:** Solve for the power delivered by the voltage source in Figure P2.70, using the mesh-current method. **Figure P2.70 Analysis:** - **Components:** - A voltage source of 62 V is present with its positive terminal connected downwards indicating its positive polarity. - Resistors are connected across the circuit with values of 1Ω, 3Ω, 5Ω, 7Ω, and 11Ω. - **Current Loops:** - **\(i_1\):** The mesh current flowing in the left loop, counter-clockwise through the 5Ω and 7Ω resistors and the voltage source. - **\(i_2\):** The mesh current flowing in the right loop, counter-clockwise through the 3Ω and 11Ω resistors and the voltage source. - **\(i_3\):** The mesh current flowing in the top loop, counter-clockwise through the 1Ω and 7Ω resistors. **Diagram Overview:** - The circuit is a combination of three meshes. - The voltage source is positioned between the bottom nodes of the circuit. - Each mesh current is depicted with arrows indicating their assumed direction of flow counter-clockwise. **Task:** Apply mesh-current analysis to determine the power delivered by the 62 V voltage source. Calculate the mesh currents \(i_1\), \(i_2\), and \(i_3\) and then determine the power using the relation \(P = V \times I\) where \(I\) is the sum of the currents through the voltage source.
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