Suppose that v1(t) = 90cos( wt-15° ) and v2(t) = 50sin(wt-60° ). Use phasors to reduce the sum vs(t) = v1(t) + v2(t) to a single term of the form vs(t)=Vmcos(wt + ). State the phase relationships between each pair of these phasors. (Hint: Sketch aphasor diagram showing V1 ,V2 ,and Vs :)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.6P: (a) Transform v(t)=75cos(377t15) to phasor form. Comment on whether =377 appears in your answer. (b)...
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Suppose that v1(t) = 90cos( wt-15° ) and
V2(t) = 50sin(wt-60° ). Use phasors to
reduce the sum vs(t) = v1(t) + v2(t) to a
single term of the form vs(t)=Vmcos(wt +d
). State the phase relationships between
each pair of these phasors. (Hint: Sketch
aphasor diagram showing V1 ,V2 ,and Vs
:)
Transcribed Image Text:Suppose that v1(t) = 90cos( wt-15° ) and V2(t) = 50sin(wt-60° ). Use phasors to reduce the sum vs(t) = v1(t) + v2(t) to a single term of the form vs(t)=Vmcos(wt +d ). State the phase relationships between each pair of these phasors. (Hint: Sketch aphasor diagram showing V1 ,V2 ,and Vs :)
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