TEXTBOOK OF ELECTRICITY W/MINDTAP >BI<
6th Edition
ISBN: 9781305812505
Author: Herman
Publisher: Cengage Learning
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Textbook Question
Chapter 24, Problem 10RQ
How many degrees are the voltage and current out of phase with each other in the circuit in Question 6?
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Students have asked these similar questions
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
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Chapter 24 Solutions
TEXTBOOK OF ELECTRICITY W/MINDTAP >BI<
Ch. 24 - What is the phase angle relationship of current...Ch. 24 - What is the phase angle relationship of current...Ch. 24 - What is the phase angle relationship of current...Ch. 24 - An AC circuit has a frequency of 400 Hz. A 16-...Ch. 24 - If 440 V are connected to the circuit, how much...Ch. 24 - Prob. 6RQCh. 24 - What is the true power of the circuit in Question...Ch. 24 - What is the apparent power of the circuit in...Ch. 24 - What is the power factor of the circuit in...Ch. 24 - How many degrees are the voltage and current out...
Ch. 24 - You are an electrician working in a plant. A...Ch. 24 - Prob. 1PPCh. 24 - The circuit is connected to a 400-Hz line with an...Ch. 24 - The circuit is connected to a 60-Hz line. The...Ch. 24 - This circuit is connected to a 1000-Hz line. The...Ch. 24 - A series RLC circuit contains a 4-k resistor, an...Ch. 24 - A series RLC circuit contains a resistor with a...Ch. 24 - Is the power factor in Question 6 a leading or...Ch. 24 - A series RLC circuit contains a resistor with a...Ch. 24 - A series RLC circuit has an applied voltage of 240...Ch. 24 - A series RLC circuit is connected to a 60-Hz power...
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