**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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Determine the avevage power delivered to a network having the following input voltage and Current: V(+) = 100 sin (20π + + 40°) i(t) = 20 Sin (20πt - 30°)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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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