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Use the mesh current method to find the power developed in the dependent voltage source, voltage sources, and the absorbed power in the circuit in figure.

Use the mesh current method to find the power developed in the dependent voltage source, voltage sources, and the absorbed power in the circuit in figure.

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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Use the mesh current method to find the power developed in the dependent voltage source, voltage sources, and the absorbed power in the circuit in figure.

### Circuit Analysis Example The image displays an electrical circuit schematic with the following components: 1. **Voltage Source:** - A source providing 660 V. 2. **Resistors:** - There are five resistors in the circuit with the following resistances: - 5 Ω - 10 Ω - 15 Ω - 25 Ω - 50 Ω 3. **Dependent Voltage Source:** - Labeled as \(20i_{\phi}\), indicating the voltage depends on a current \(i_{\phi}\). ### Power Calculations Below the circuit, several power calculations are listed: - \(P_{660V} = 27720W\), - \(P_{20i_{\phi}} = 2700W\), - \(P_{delivered} = -30,420W\). ### Explanation of Circuit Elements - **Voltage Source (660 V):** Supplies electrical energy to the circuit. - **Resistors:** Oppose the flow of current; each resistor has a specific resistance value that affects the total circuit impedance. - **Dependent Voltage Source:** Provides a voltage that is dependent on a certain circuit variable, in this case, a current (\(i_{\phi}\)). ### Analysis Tips - Use basic circuit analysis techniques such as Ohm's Law and Kirchhoff's Laws to calculate currents and voltages across each component. - For power calculations, apply the power formula \(P = VI\) where applicable. - Consider the role of the dependent source, especially in relation to the circuit current it depends upon (\(i_{\phi}\)). By carefully examining these elements and performing the necessary calculations, one can determine the power distribution across the various components, as indicated by the power values provided.
Transcribed Image Text:### Circuit Analysis Example The image displays an electrical circuit schematic with the following components: 1. **Voltage Source:** - A source providing 660 V. 2. **Resistors:** - There are five resistors in the circuit with the following resistances: - 5 Ω - 10 Ω - 15 Ω - 25 Ω - 50 Ω 3. **Dependent Voltage Source:** - Labeled as \(20i_{\phi}\), indicating the voltage depends on a current \(i_{\phi}\). ### Power Calculations Below the circuit, several power calculations are listed: - \(P_{660V} = 27720W\), - \(P_{20i_{\phi}} = 2700W\), - \(P_{delivered} = -30,420W\). ### Explanation of Circuit Elements - **Voltage Source (660 V):** Supplies electrical energy to the circuit. - **Resistors:** Oppose the flow of current; each resistor has a specific resistance value that affects the total circuit impedance. - **Dependent Voltage Source:** Provides a voltage that is dependent on a certain circuit variable, in this case, a current (\(i_{\phi}\)). ### Analysis Tips - Use basic circuit analysis techniques such as Ohm's Law and Kirchhoff's Laws to calculate currents and voltages across each component. - For power calculations, apply the power formula \(P = VI\) where applicable. - Consider the role of the dependent source, especially in relation to the circuit current it depends upon (\(i_{\phi}\)). By carefully examining these elements and performing the necessary calculations, one can determine the power distribution across the various components, as indicated by the power values provided.
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