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1. The following sinusoidal waveform, v(t), is applied to a load. The load draws a current, i(t): v(t) = 141.4 sin (377t - π/4) volts; A. Sketch v(t) and i(t) on the axis below: B. Calculate the RMS values of the voltage and current waveforms: Vrms = 180° 90° volts 270⁰ C. Choose one of the waveforms as reference, convert both waveforms to phasors (including phase angles) and plot them on the axis below: Phasors: V = volts 0° Irms= D. What is power factor of the load? i(t) = 70.7 cos (377t - π/2) amps I= amps E. What is the complex impedance, Z, for the load? amps ohms

1. The following sinusoidal waveform, v(t), is applied to a load. The load draws a current, i(t): v(t) = 141.4 sin (377t - π/4) volts; A. Sketch v(t) and i(t) on the axis below: B. Calculate the RMS values of the voltage and current waveforms: Vrms = 180° 90° volts 270⁰ C. Choose one of the waveforms as reference, convert both waveforms to phasors (including phase angles) and plot them on the axis below: Phasors: V = volts 0° Irms= D. What is power factor of the load? i(t) = 70.7 cos (377t - π/2) amps I= amps E. What is the complex impedance, Z, for the load? amps ohms

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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1. The following sinusoidal waveform, v(t), is applied to a load. The load draws a current, i(t): v(t) = 141.4 sin (377t - π/4) volts; A. Sketch v(t) and i(t) on the axis below: B. Calculate the RMS values of the voltage and current waveforms: Vrms Phasors: V = 180° 90° volts C. Choose one of the waveforms as reference, convert both waveforms to phasors (including phase angles) and plot them on the axis below: volts 270⁰ Irms= 0° i(t) = 70.7 cos (377t - π/2) amps I = D. What is power factor of the load? amps E. What is the complex impedance, Z, for the load? amps ohms
Transcribed Image Text:1. The following sinusoidal waveform, v(t), is applied to a load. The load draws a current, i(t): v(t) = 141.4 sin (377t - π/4) volts; A. Sketch v(t) and i(t) on the axis below: B. Calculate the RMS values of the voltage and current waveforms: Vrms Phasors: V = 180° 90° volts C. Choose one of the waveforms as reference, convert both waveforms to phasors (including phase angles) and plot them on the axis below: volts 270⁰ Irms= 0° i(t) = 70.7 cos (377t - π/2) amps I = D. What is power factor of the load? amps E. What is the complex impedance, Z, for the load? amps ohms
Expert Solution
Step 1

Given

v(t)=141.4 sin 377 t-π4  

comparing with standard form

v(t)=Vm sin ω t-θ  

we get

Vm =141.4 V

 

i (t)=70.7 cos 377 t-π2  

comparing with standard form

i (t)=Vm cos ω t-θ  

we get

Im =70.7 V

 

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