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For the circuit shown, what is the complex power, S, average power, P,av, and reactive power, Q, delivered by the voltage source? a v(t) = 169.7cos(377t) V ( 100 μF '10Ω 30 mH b ll

For the circuit shown, what is the complex power, S, average power, P,av, and reactive power, Q, delivered by the voltage source? a v(t) = 169.7cos(377t) V ( 100 μF '10Ω 30 mH b ll

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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## Problem Statement For the circuit shown, calculate the complex power \( S \), average power \( P_{av} \), and reactive power \( Q \) delivered by the voltage source. ### Voltage Source The voltage source is given by: \[ v(t) = 169.7 \cos(377t) \; \text{V} \] ### Circuit Components The circuit consists of: - A resistor of \( 10 \, \Omega \) - An inductor of \( 30 \, \text{mH} \) - A capacitor of \( 100 \, \mu\text{F} \) ### Circuit Diagram Description - The circuit starts with an AC voltage source, with terminals labeled \( a \) and \( b \). - The resistor, inductor, and capacitor are connected in series across the voltage source. - The values of the resistor, inductor, and capacitor are clearly marked as \( 10 \, \Omega \), \( 30 \, \text{mH} \), and \( 100 \, \mu\text{F} \) respectively. **Task**: Determine the values of complex power \( S \), average power \( P_{av} \), and reactive power \( Q \) using the given parameters.
Transcribed Image Text:## Problem Statement For the circuit shown, calculate the complex power \( S \), average power \( P_{av} \), and reactive power \( Q \) delivered by the voltage source. ### Voltage Source The voltage source is given by: \[ v(t) = 169.7 \cos(377t) \; \text{V} \] ### Circuit Components The circuit consists of: - A resistor of \( 10 \, \Omega \) - An inductor of \( 30 \, \text{mH} \) - A capacitor of \( 100 \, \mu\text{F} \) ### Circuit Diagram Description - The circuit starts with an AC voltage source, with terminals labeled \( a \) and \( b \). - The resistor, inductor, and capacitor are connected in series across the voltage source. - The values of the resistor, inductor, and capacitor are clearly marked as \( 10 \, \Omega \), \( 30 \, \text{mH} \), and \( 100 \, \mu\text{F} \) respectively. **Task**: Determine the values of complex power \( S \), average power \( P_{av} \), and reactive power \( Q \) using the given parameters.
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