Let vj = 8 sin 100rt and vz = 6 sin 99tt. Show that v= vj + vz is periodic. Find the period, and the maximum, average, and effective values of v. 6.22 Ans. T = 2, Vmax = 14, Vavg = 0, Vetr = 5/2 6.23 Find period, frequency, phase angle in degrees, and maximum, minimum, average, and effective values of v(1) = 2 + 6 cos (10rt + x/6). Ans. T = 0.2 s, ƒ = 5 Hz, phase = 30°, Vmax = 8, Vmin = –4, Vavg = 2, Ven = /22
Let vj = 8 sin 100rt and vz = 6 sin 99tt. Show that v= vj + vz is periodic. Find the period, and the maximum, average, and effective values of v. 6.22 Ans. T = 2, Vmax = 14, Vavg = 0, Vetr = 5/2 6.23 Find period, frequency, phase angle in degrees, and maximum, minimum, average, and effective values of v(1) = 2 + 6 cos (10rt + x/6). Ans. T = 0.2 s, ƒ = 5 Hz, phase = 30°, Vmax = 8, Vmin = –4, Vavg = 2, Ven = /22
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 2.10MCQ: The average value of a double-frequency sinusoid, sin2(t+), is given by (a) 1 (b) (c) Zero
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6.22 Let v1 ¼ 8 sin 100t and v2 ¼ 6 sin 99t. Show that v ¼ v1 þ v2 is periodic. Find the period, and the
maximum, average, and effective values of v. Ans: T ¼ 2; Vmax ¼ 14; Vavg ¼ 0; Veff ¼ 5 ffiffiffi
2
p
6.23 Find period, frequency, phase angle in degrees, and maximum, minimum, average, and effective values of
vðtÞ ¼ 2 þ 6 cosð10t þ =6Þ.
Ans: T ¼ 0:2 s; f ¼ 5 Hz; phase ¼ 308; Vmax ¼ 8; Vmin ¼ 4; Vavg ¼ 2; Veff ¼ ffiffiffiffiffi
22
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