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We are given the power received P1, P2, P3 and the voltage v1. Find the power received P4. + V1 2A P₁ PA + P₂ 2 A -3 V P3 Given: v1 = 2v, P1 = 16W, P2 = -4W, P3 = 2W

We are given the power received P1, P2, P3 and the voltage v1. Find the power received P4. + V1 2A P₁ PA + P₂ 2 A -3 V P3 Given: v1 = 2v, P1 = 16W, P2 = -4W, P3 = 2W

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The diagram is a circuit schematic with four components labeled \( P_1, P_2, P_3, \) and \( P_4 \), which indicate the power received by each component. The task is to find the power received by \( P_4 \). ### Circuit Description: - **Voltage Source**: - \( v_1 = 2 \, \text{V} \) is connected on the left side of the circuit. The current through the source is \( 2 \, \text{A} \) flowing upwards. - **Components and Connections**: - \( P_1 \): Positioned near the top left and receives \( 16 \, \text{W} \) of power. - \( P_2 \): Positioned between two nodes with a potential difference of \( -3 \, \text{V} \) from top to bottom and receives \( -4 \, \text{W} \) of power. - \( P_3 \): Positioned on the far right side and receives \( 2 \, \text{W} \) of power. - \( P_4 \): Positioned at the top center; its power needs to be calculated. - **Current Flow**: - The diagram indicates a current of \( 2 \, \text{A} \) moving horizontally from left to right through \( P_4 \). ### Given Values: - \( v_1 = 2 \, \text{V} \) - \( P_1 = 16 \, \text{W} \) - \( P_2 = -4 \, \text{W} \) - \( P_3 = 2 \, \text{W} \) To find \( P_4 \), use the power balance in the circuit: the sum of all powers in the circuit should equal zero because the circuit is in a steady state. Therefore, \( P_1 + P_2 + P_3 + P_4 = 0 \). Given: \[ 16 \, \text{W} + (-4 \, \text{W}) + 2 \, \text{W} + P_4 = 0 \] Solving for \( P_4 \): \[ P_4 = - (16 - 4 + 2) \] \[ P_4 = -
Transcribed Image Text:The diagram is a circuit schematic with four components labeled \( P_1, P_2, P_3, \) and \( P_4 \), which indicate the power received by each component. The task is to find the power received by \( P_4 \). ### Circuit Description: - **Voltage Source**: - \( v_1 = 2 \, \text{V} \) is connected on the left side of the circuit. The current through the source is \( 2 \, \text{A} \) flowing upwards. - **Components and Connections**: - \( P_1 \): Positioned near the top left and receives \( 16 \, \text{W} \) of power. - \( P_2 \): Positioned between two nodes with a potential difference of \( -3 \, \text{V} \) from top to bottom and receives \( -4 \, \text{W} \) of power. - \( P_3 \): Positioned on the far right side and receives \( 2 \, \text{W} \) of power. - \( P_4 \): Positioned at the top center; its power needs to be calculated. - **Current Flow**: - The diagram indicates a current of \( 2 \, \text{A} \) moving horizontally from left to right through \( P_4 \). ### Given Values: - \( v_1 = 2 \, \text{V} \) - \( P_1 = 16 \, \text{W} \) - \( P_2 = -4 \, \text{W} \) - \( P_3 = 2 \, \text{W} \) To find \( P_4 \), use the power balance in the circuit: the sum of all powers in the circuit should equal zero because the circuit is in a steady state. Therefore, \( P_1 + P_2 + P_3 + P_4 = 0 \). Given: \[ 16 \, \text{W} + (-4 \, \text{W}) + 2 \, \text{W} + P_4 = 0 \] Solving for \( P_4 \): \[ P_4 = - (16 - 4 + 2) \] \[ P_4 = -
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