Calculate the rms value of the following voltage waveform:v(t) = 1 + 2 cos (wt + 1) + 2 cos (2wt + 2) + 3 cos (3wt + 3)Clue: What do you know about RSS of rms values? Does it apply here? Why?

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Calculate the rms value of the following voltage waveform: v(t) = 1 + 2 cos (wt + ₁) + 2 cos (2wt + ₂) + 3 cos (3wt +93) Clue: What do you know about RSS of rms values? Does it apply here? Why?

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 2.1MCQ: The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax

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Question

Calculate the rms value of the following voltage waveform:
v(t) = 1 + 2 cos (wt + 1) + 2 cos (2wt + 2) + 3 cos (3wt + 3)
Clue: What do you know about RSS of rms values? Does it apply here? Why?

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Step 1: Determine the rms value of the given voltage waveform:

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Step 2: Define RSS:

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Step 3: Find Rms value of V(t):

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