7.10* Consider the functions E₁ = 3 cos wt and E2 = 4 sin wt. First prove that E2 = 4 cos (@t-π/2). Then, using phasors and referring to Fig. P.7.10, show that E3 = E₁ + E2 = 5 cos (wt - 4); determine ø. - Discuss the values of E3 wherever either E₁ = 0 or E2 = 0. Does E3 lead or lag E₁? Explain. Figure P.7.10 3 -1 -3 Է П 2TT 3πT 3Z0 2 0 -2 5 4L-π/2 AA 3 EIN 2πT wt 52-4 M 0 -3 -5 9 πT 2TT 3πT wt
7.10* Consider the functions E₁ = 3 cos wt and E2 = 4 sin wt. First prove that E2 = 4 cos (@t-π/2). Then, using phasors and referring to Fig. P.7.10, show that E3 = E₁ + E2 = 5 cos (wt - 4); determine ø. - Discuss the values of E3 wherever either E₁ = 0 or E2 = 0. Does E3 lead or lag E₁? Explain. Figure P.7.10 3 -1 -3 Է П 2TT 3πT 3Z0 2 0 -2 5 4L-π/2 AA 3 EIN 2πT wt 52-4 M 0 -3 -5 9 πT 2TT 3πT wt
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 2.3MCQ: If a phasor representation of a current is given by I=70.745A, it is equivalent to a. 100e/45 b....
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Transcribed Image Text:7.10* Consider the functions E₁
=
3 cos wt and E2 = 4 sin wt. First
prove that E2 = 4 cos (@t-π/2). Then, using phasors and referring to
Fig. P.7.10, show that E3 = E₁ + E2 = 5 cos (wt - 4); determine ø.
-
Discuss the values of E3 wherever either E₁ = 0 or E2 = 0. Does E3
lead or lag E₁? Explain.
Figure P.7.10
3
-1
-3
Է
П
2TT
3πT
3Z0
2
0
-2
5
4L-π/2
AA
3
EIN
2πT
wt
52-4
M
0
-3
-5
9
πT
2TT
3πT wt
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