(a) Transform v ( t ) = 75 cos ( 377 t − 15 ° ) to phasor form. Comment on whether ω = 377 appears in your answer. (b) Transform V = 50 ∠ 10 ° to instantaneous form. Assume that ω = 377 . (c) Add the two sinusoidal functions a ( t ) and b ( t ) of the same frequency given as follows: a ( t ) = A 2 cos ( ω t + α ) and b ( t ) = B 2 cos ( ω t + β ) . Use phasor methods and obtain the resultant c ( t ). Does the resultant have the same frequency?
(a) Transform v ( t ) = 75 cos ( 377 t − 15 ° ) to phasor form. Comment on whether ω = 377 appears in your answer. (b) Transform V = 50 ∠ 10 ° to instantaneous form. Assume that ω = 377 . (c) Add the two sinusoidal functions a ( t ) and b ( t ) of the same frequency given as follows: a ( t ) = A 2 cos ( ω t + α ) and b ( t ) = B 2 cos ( ω t + β ) . Use phasor methods and obtain the resultant c ( t ). Does the resultant have the same frequency?
Solution Summary: The author explains the phasor form of v(t), the peak current, and the phase angle.
(a) Transform
v
(
t
)
=
75
cos
(
377
t
−
15
°
)
to phasor form. Comment on whether
ω
=
377
appears in your answer. (b) Transform
V
=
50
∠
10
°
to instantaneous form. Assume that
ω
=
377
. (c) Add the two sinusoidal functions a(t) and b(t) of the same frequency given as follows:
a
(
t
)
=
A
2
cos
(
ω
t
+
α
)
and
b
(
t
)
=
B
2
cos
(
ω
t
+
β
)
. Use phasor methods and obtain the resultant c(t). Does the resultant have the same frequency?
Transform the sinusoids corresponding to phasors :
(i) V = 50Z- 50° V
(ii) V = – 204110 V
(iii) I = j(10+ j 5) A
The voltage and current of an element are
i(t) = 3.cos(1000t + 10°)
V(t) = 6.cos(1000t – 80°)
The element is
Select one:
a. resistor and capacitor (R and C)
b. Сарacitor C
c. resistor R
d. Inductor L
Q2. Find the time domain of the sinusoidal waveforms represented by these electrical phasors:
[1] V = -15.8 e __j72⁰ V
[2] 1 9.2-j6 A
[3] I=27.55 240° A
[4] V = −7+j5 V
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
ENA 9.2(1)(En)(Alex) Sinusoids & Phasors - Explanation with Example 9.1 ,9.2 & PP 9.2; Author: Electrical Engineering Academy;https://www.youtube.com/watch?v=vX_LLNl-ZpU;License: Standard YouTube License, CC-BY
Electrical Engineering: Ch 10 Alternating Voltages & Phasors (8 of 82) What is a Phasor?; Author: Michel van Biezen;https://www.youtube.com/watch?v=2I1tF3ixNg0;License: Standard Youtube License