Delmar's Standard Textbook of Electricity (MindTap Course List)
6th Edition
ISBN: 9781285852706
Author: Stephen L. Herman
Publisher: Cengage Learning
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Textbook Question
Chapter 24, Problem 8RQ
What is the apparent power of the circuit in Question 6?
Expert Solution & Answer
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Students have asked these similar questions
The input reactance of an infinitesimal linear dipole of length A/60 and radius a=A/200
is given by
Xin = – 120
[In(€/a) — 1]
tan(ke)
Assuming the wire of the dipole is copper with a conductivity of 5.7 x 10' S/m,
determine at f = 1 GHz the
(a) loss resistance
(b) radiation resistance
(c) radiation efficiency
(d) VSWR when the antenna is connected to a 50-ohm line
Example
Solve the octic polynomial
2x⁸-9x⁷+20x⁶-33x⁵+46x⁴-66x³+80x²-72x+32=0
Solution
Divide by x⁴
2x⁴-9x³+20x²-33x+46-66/x + 80/x² - 72/x³ + 32/x⁴=0
Combine and bring terms
2(x⁴+16/x⁴) - 9(x³+8/x³) +20(x²+4/x²)-33(x+2/x) + 46= 0
Let use substitution
Let x+2/x =u
(x+2/x)²= u²
x²+2x*2/x + 4/x² = u²
x²+4/x²= u²-4
(x+2/x)³= x³+8/x³+3x*2/x(x+2/x)
u³= x³+8/x²+6u
x³+8/x³= u³-6u
(x²+4/x²)²= x⁴+2x²*4/x² + 16/x⁴
(u²-4)²= x⁴+16/x⁴ + 8
x⁴+16/x⁴ = (u²-4)²-8
x⁴+16/x⁴ = u⁴-8u²+8
2(u⁴-8u²+8)-9(u³-6u)+20(u²-4)-33u+46=0
Expand and simplify
2u⁴-9u³+4u²+21u-18=0
After checking
(u-1)(u-2) Are factors
Then
2u²-3u-9=0
u=3, u=-3/2
Assignment question
Solve the octic polynomial
2s⁸+s⁷+2s⁶-31s⁴-16s³-32s²-160=0 using the above example question, please explain in detail
b)
Another waveform g(t) is defined by
=0
t≥0, α>0
otherwise
g(t)= At exp(-at)
and is plotted in Figure 1 (for representative values of 4 = 1 and α = 1).
g(t)
0.4T
0.3+
0.2
0.1+
2
0
2
Figure 1
8
c)
Show that its amplitude spectrum is |G(@)| = -
A
(a²+0²)²
Describe briefly, with the aid of labelled sketches, how changing a affects
the waveform in both the time and frequency domains.
d) Deduce the Fourier transform H(@) of h(t) = g(t)+g(t+b)+g(t-b) and
calculate its DC amplitude H(0).
Chapter 24 Solutions
Delmar's Standard Textbook of Electricity (MindTap Course List)
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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