Delmar's Standard Textbook Of Electricity
7th Edition
ISBN: 9781337900348
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter 33, Problem 2RQ
The voltages of a two-phase system are how many degrees out of phase with each other?
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The question was to obtain the Fourier series for the periodic function f(x)= -2 when -π
Consider the homogeneous RLC circuit (no voltage source) shown in the diagram below. Before
the switch is closed, the capacitor has an initial charge go and the circuit has an initial current go.
R
w
i(t)
q(t)
C
н
After the switches closes, current flows through the circuit and the capacitor begins to discharge.
The equation that describes the total voltage in the loop comes from Kirchoff's voltage law:
di(t)
L
+ Ri(t) + (t) = 0,
dt
(1)
where i(t) and q(t) are the current and capacitor charge as a function of time, L is the inductance,
R is the resistance, and C is the capacitance. Using the fact that the current equals the rate of
change of the capacitor charge, and dividing by L, we can write the following homogeneous (no
input source) differential equation for the charge on the capacitor:
ä(t)+2ag(t)+wg(t) = 0,
(2)
where
R
a
2L
and w₁ = C
LC
The solution to this second order linear differential equation can be written as:
where
81=
q(t) = Ae³¹- Bel
82 =
(3)
(4)
(5)
2.
1.
A. Simplify the models in the following block diagrams to open loop models (Y/R = G).
U(s) o
G₁
ROS
G₂
1-GG
G4
X₁
Σ
az
51-
515
G6
G₂
5
G₂
M
b₁
b₂
Σ
o Y(s)
X₁
by
Chapter 33 Solutions
Delmar's Standard Textbook Of Electricity
Ch. 33 - What are the three basic types of split-phase...Ch. 33 - The voltages of a two-phase system are how many...Ch. 33 - How are the start and run windings of a...Ch. 33 - In order to produce maximum starting torque in a...Ch. 33 - What is the advantage of the capacitor-start...Ch. 33 - On average, how many degrees out of phase with...Ch. 33 - What device is used to disconnect the start...Ch. 33 - Why does a split-phase motor continue to operate...Ch. 33 - How can the direction of rotation of a split-phase...Ch. 33 - If a dual-voltage split-phase motor is to be...
Ch. 33 - When determining the direction of rotation for a...Ch. 33 - What type of split-phase motor does not generally...Ch. 33 - What type of single-phase motor develops the...Ch. 33 - Prob. 14RQCh. 33 - Prob. 15RQCh. 33 - When a repulsion-start induction-run motor reaches...Ch. 33 - Prob. 17RQCh. 33 - What causes the magnetic field to rotate in a...Ch. 33 - How can the direction of rotation of a shaded-pole...Ch. 33 - Prob. 20RQCh. 33 - Prob. 21RQCh. 33 - Prob. 22RQCh. 33 - Prob. 23RQCh. 33 - Prob. 24RQCh. 33 - What is the principle of operation of a stepping...Ch. 33 - What does the term bifilar mean?Ch. 33 - Prob. 27RQCh. 33 - When a stepping motor is connected to AC power,...Ch. 33 - What is the synchronous speed of an eight-pole...Ch. 33 - How can the holding torque of a stepping motor be...Ch. 33 - Why is the AC series motor often referred to as a...Ch. 33 - Prob. 32RQCh. 33 - How is the direction of rotation of the universal...Ch. 33 - Prob. 34RQCh. 33 - Prob. 35RQCh. 33 - Prob. 36RQCh. 33 - Prob. 1PA
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