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a) find the equivalent resistance seen by the source, b) find the power developed by the source. Figure P3.4 24 N 18 V 36 Ω ξ18 Ωξ (a) 75 kM 50 kN 60 V 100 kΩ 150 kΩ 60 kΩ 90 kN

a) find the equivalent resistance seen by the source, b) find the power developed by the source. Figure P3.4 24 N 18 V 36 Ω ξ18 Ωξ (a) 75 kM 50 kN 60 V 100 kΩ 150 kΩ 60 kΩ 90 kN

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 Statement Given the following electrical circuits, you are tasked with: a) Finding the equivalent resistance seen by the source. b) Calculating the power developed by the source. ### Figure P3.4 **Diagram (a):** - A circuit with a source voltage of 18 V. - Three resistors are connected as follows: - A 24 Ω resistor is in series with a node connected to two parallel resistors. - The parallel resistors are 36 Ω and 18 Ω. **Diagram (b):** - A circuit with a source voltage of 60 V. - Five resistors are connected as follows: - A 75 kΩ resistor is in series with a node connected to a 50 kΩ resistor. - The node is also connected to three parallel resistors: 100 kΩ, 150 kΩ, and 60 kΩ. - Additionally, a 90 kΩ resistor is in parallel with the entire arrangement of parallel resistors (100 kΩ, 150 kΩ, and 60 kΩ). ### Analysis **Diagram (a) Analysis:** 1. **Equivalent Resistance Calculation:** - First, find the equivalent resistance of the parallel resistors (36 Ω and 18 Ω). - Add this equivalent resistance to the 24 Ω resistor to get the total equivalent resistance. 2. **Power Developed by the Source:** - Use the formula \( P = \frac{V^2}{R} \) where \( V \) is the source voltage and \( R \) is the equivalent resistance. **Diagram (b) Analysis:** 1. **Equivalent Resistance Calculation:** - Start by finding the equivalent resistance of the parallel resistors (100 kΩ, 150 kΩ, and 60 kΩ). - Calculate the parallel equivalent resistance with 90 kΩ. - Add the results to the series configuration involving 75 kΩ and 50 kΩ. 2. **Power Developed by the Source:** - Use the formula \( P = \frac{V^2}{R} \) where \( V \) is the source voltage and \( R \) is the equivalent resistance. These calculations will yield the necessary equivalencies and power outputs for analysis and further understanding of the circuit dynamics.
Transcribed Image Text:### Problem Statement Given the following electrical circuits, you are tasked with: a) Finding the equivalent resistance seen by the source. b) Calculating the power developed by the source. ### Figure P3.4 **Diagram (a):** - A circuit with a source voltage of 18 V. - Three resistors are connected as follows: - A 24 Ω resistor is in series with a node connected to two parallel resistors. - The parallel resistors are 36 Ω and 18 Ω. **Diagram (b):** - A circuit with a source voltage of 60 V. - Five resistors are connected as follows: - A 75 kΩ resistor is in series with a node connected to a 50 kΩ resistor. - The node is also connected to three parallel resistors: 100 kΩ, 150 kΩ, and 60 kΩ. - Additionally, a 90 kΩ resistor is in parallel with the entire arrangement of parallel resistors (100 kΩ, 150 kΩ, and 60 kΩ). ### Analysis **Diagram (a) Analysis:** 1. **Equivalent Resistance Calculation:** - First, find the equivalent resistance of the parallel resistors (36 Ω and 18 Ω). - Add this equivalent resistance to the 24 Ω resistor to get the total equivalent resistance. 2. **Power Developed by the Source:** - Use the formula \( P = \frac{V^2}{R} \) where \( V \) is the source voltage and \( R \) is the equivalent resistance. **Diagram (b) Analysis:** 1. **Equivalent Resistance Calculation:** - Start by finding the equivalent resistance of the parallel resistors (100 kΩ, 150 kΩ, and 60 kΩ). - Calculate the parallel equivalent resistance with 90 kΩ. - Add the results to the series configuration involving 75 kΩ and 50 kΩ. 2. **Power Developed by the Source:** - Use the formula \( P = \frac{V^2}{R} \) where \( V \) is the source voltage and \( R \) is the equivalent resistance. These calculations will yield the necessary equivalencies and power outputs for analysis and further understanding of the circuit dynamics.
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