College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Determine the Average Power Delivered to a Network**

To calculate the average power delivered to a network, consider the following input voltage and current:

- Voltage: \( V(t) = 100 \sin(20\pi t + 40^\circ) \)
- Current: \( i(t) = 20 \sin(20\pi t - 30^\circ) \)

These expressions represent time-varying signals where:

- \( V(t) \) represents the voltage as a sinusoidal function with an amplitude of 100 volts, angular frequency of \( 20\pi \), and a phase shift of \( 40^\circ \).
- \( i(t) \) represents the current as a sinusoidal function with an amplitude of 20 amperes, angular frequency of \( 20\pi \), and a phase shift of \(-30^\circ \).

The objective is to determine the average power based on the given equations for voltage and current.
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Transcribed Image Text:**Determine the Average Power Delivered to a Network** To calculate the average power delivered to a network, consider the following input voltage and current: - Voltage: \( V(t) = 100 \sin(20\pi t + 40^\circ) \) - Current: \( i(t) = 20 \sin(20\pi t - 30^\circ) \) These expressions represent time-varying signals where: - \( V(t) \) represents the voltage as a sinusoidal function with an amplitude of 100 volts, angular frequency of \( 20\pi \), and a phase shift of \( 40^\circ \). - \( i(t) \) represents the current as a sinusoidal function with an amplitude of 20 amperes, angular frequency of \( 20\pi \), and a phase shift of \(-30^\circ \). The objective is to determine the average power based on the given equations for voltage and current.
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