Circuits 1 HW 6 Q4 9.11 Use the concept of the phasor to combine the following sinusoidal functions into a single trigono-metric expression: a) y = 100 cos (300t + 45°) + 500 cos(300t -60°),b) y =cos(377t +30°) - 150 sin(377t +140°),60 cos (100t + 60°) - 120 sin(100t – 125°)+100 cos (100t + 90°), andc) y =900250d) y = 100 cos (wt + 40°) + 100 cos(wt + 160°)+ 100 cos (wt - 80°).

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9.11 Use the concept of the phasor to combine the fol- lowing sinusoidal functions into a single trigono- metric expression:

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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Question

Circuits 1 HW 6 Q4

9.11 Use the concept of the phasor to combine the fol
lowing sinusoidal functions into a single trigono-
metric expression:

a) y = 100 cos (300t + 45°) + 500 cos(300t -60°),
b) y =
cos(377t +30°) - 150 sin(377t +140°),
60 cos (100t + 60°) - 120 sin(100t – 125°)
+100 cos (100t + 90°), and
c) y =
900
250
d) y = 100 cos (wt + 40°) + 100 cos(wt + 160°)
+ 100 cos (wt - 80°).

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Step 2: a. Determine the single trigonometric expression of 'y' in part (a).

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Step 3: b. Determine the single trigonometric expression of 'y' in part (b).

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Step 4: c. Determine the single trigonometric expression of 'y' in part (c).

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