Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Question
Chapter 14, Problem 9P
(a)
To determine
Find the value of the cutoff frequency in
(b)
To determine
Find the value of the resistor for the given RC low pass filter.
(c)
To determine
Draw the RC low pass filter by labeling the component values and output voltage.
(d)
To determine
Find the transfer function of the given passive RC low pass filter.
(e)
To determine
Find the transfer function of the loaded RC low pass filter.
(f)
To determine
Find the value of the cutoff frequency of the loaded RC low pass filter from part (e).
(g)
To determine
Find the value of the passband gain of the loaded RC low pass filter from part (e).
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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 14 Solutions
Electric Circuits (10th Edition)
Ch. 14.2 - Prob. 1APCh. 14.2 - A series RL low-pass filter with a cutoff...Ch. 14.3 - Prob. 3APCh. 14.3 - Prob. 4APCh. 14.3 - Prob. 5APCh. 14.4 - Prob. 6APCh. 14.4 - Using the circuit in Fig. 14.22, compute the...Ch. 14.4 - Prob. 8APCh. 14.4 - Prob. 9APCh. 14.5 - Design the component values for the series RLC...
Ch. 14.5 - Prob. 11APCh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Prob. 4PCh. 14 - Study the circuit shown in Fig. P14.5 (without the...Ch. 14 - Suppose we wish to add a load resistor in parallel...Ch. 14 - Use a 1 mH inductor to design a low-pass, RL,...Ch. 14 - Use a 10 mH inductor to design a low-pass passive...Ch. 14 - Prob. 9PCh. 14 - Use a 500 nF capacitor to design a low-pass...Ch. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - Prob. 16PCh. 14 - Using a 100 μH inductor, design a high-pass, RL,...Ch. 14 - Prob. 18PCh. 14 - Prob. 19PCh. 14 - Prob. 20PCh. 14 - Prob. 21PCh. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - Using a 50 nF capacitor in the bandpass circuit...Ch. 14 - Design a series RLC bandpass filter using only...Ch. 14 - Prob. 27PCh. 14 - Design a series RLC bandpass filter using only...Ch. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - Consider the circuit shown in Fig. P14.31.
Find...Ch. 14 - Prob. 32PCh. 14 - The purpose of this problem is to investigate how...Ch. 14 - The parameters in the circuit in Fig. P14.33 are R...Ch. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - Prob. 37PCh. 14 - Prob. 38PCh. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - The input to the RLC bandreject filter designed in...Ch. 14 - Use a 500 nF capacitor to design a bandreject...Ch. 14 - Prob. 43PCh. 14 - Prob. 44PCh. 14 - Prob. 45PCh. 14 - The parameters in the circuit in Fig. P14.45 are R...Ch. 14 - Prob. 47PCh. 14 - Given the following voltage transfer function:
At...Ch. 14 - Consider the series RLC circuit shown in Fig....Ch. 14 - Repeat Problem 14.49 for the circuit shown in Fig....Ch. 14 - Prob. 51PCh. 14 - Design a DTMF high-band bandpass filter similar to...Ch. 14 - Prob. 53P
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