18. Find the amplitude and frequency of the following waves: a. 20 sin 377t b. 5 sin 754t d. 0.001 sin 942t c. 106 sin 10,000t e. -7.6 sin 43.6t f. 2) sin 6.283t C1 754 10

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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18. Find the amplitude and frequency of the following
waves:
a. 20 sin 377t
b. 5 sin 754t
c. 106 sin 10,000t
d. 0.001 sin 942t
e. -7.6 sin 43.6t
f. 2) sin 6.283t
19. Sketch 5 sin 754t with the abscissa
a. angle in degrees.
b. angle in radians.
c. time in seconds.
20. Sketch 106 sin 10,000t with the abscissa
a. angle in degrees.
b. angle in radians.
c. time in seconds.
21. Sketch -7.6 sin 43.6t with the abscissa
a. angle in degrees.
b. angle in radians.
c. time in seconds.
22. If e = 300 sin 157t, how long (in seconds) does it take
this waveform to complete 1/2 cycle?
23. Given i = 0.5 sin a, determine i at a = 72°.
24. Given v = 20 sin a, determine vat α = 1.2.
*25. Given v = 30 × 10-³ sin α, determine the angles at
which v will be 6 mV.
*26. If v = 40 V at a = 30° and t = 1 ms, determine the
mathematical expression for the sinusoidal voltage.
Transcribed Image Text:18. Find the amplitude and frequency of the following waves: a. 20 sin 377t b. 5 sin 754t c. 106 sin 10,000t d. 0.001 sin 942t e. -7.6 sin 43.6t f. 2) sin 6.283t 19. Sketch 5 sin 754t with the abscissa a. angle in degrees. b. angle in radians. c. time in seconds. 20. Sketch 106 sin 10,000t with the abscissa a. angle in degrees. b. angle in radians. c. time in seconds. 21. Sketch -7.6 sin 43.6t with the abscissa a. angle in degrees. b. angle in radians. c. time in seconds. 22. If e = 300 sin 157t, how long (in seconds) does it take this waveform to complete 1/2 cycle? 23. Given i = 0.5 sin a, determine i at a = 72°. 24. Given v = 20 sin a, determine vat α = 1.2. *25. Given v = 30 × 10-³ sin α, determine the angles at which v will be 6 mV. *26. If v = 40 V at a = 30° and t = 1 ms, determine the mathematical expression for the sinusoidal voltage.
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