(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?
Q1. The three-phase half-wave converter in Figure shown is operated from a three phase
Y-connected supply. Sketch the output voltages appeared at the load for firing angle 15°.
a
ia = is
ΔΤ
Vbn
an
b ib
Ven
1T1
vi₁ = Ia
T3
Ts
T4
* T6 ΔΙ
iT4
Load Highly inductive
load
On
T5, T6
T6, T1
T1, T2
FLEC
T2, T3
T3, T4
T4, T5
ཅ
V
0
V.
T₁₂
Ts
T5, T6
wt
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A 4-cell reuse cellular system is being rolled out into an operation area and you are the engineer taking charge of this project. The subscriber density for the operation area is 600 people per km2. The average traffic load generated per subscriber is 0.2 Er. You are required to deploy 8 clusters of cells in the operation area and provide a Grade of Service of 0.5% to the subscribers using the blocked calls cleared model. You found out that the total number of trunk channels available to the system is 140. Assuming that fixed channel assignment is used, compute:
a) The traffic load that can be offered to the operation area.
b) The size of the operation area (in km2) that can be supported by the system.
c) The proposed cell area and radius, based on the operation area determined in part (b).
Having successfully implemented the first system above, you are now tasked to implement another system. The requirement is that, this second system must have a cluster size of 7 and provides a…
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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