Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 14, Problem 64P
Obtain the transfer function of the active filter in Fig. 14.91 on the next page. What kind of filter is it?
Figure 14.91
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Prelab Information
1. Laboratory Preliminary Discussion
First-order Low-pass RC Filter Analysis
The first-order low-pass RC filter shown in figure 1 below represents all voltages and currents in the time domain. It is of course
possible to solve for all circuit voltages using time domain differential equation techniques, but it is more efficient to convert the
circuit to its s-domain equivalent as shown in figure 2 and apply Laplace transform techniques.
vs(t)
i₁(t)
+
R₁
ww
V₁(t)
12(t)
Lic(t)
Vout(t)
=
V2(t)
R₂
Vc(t)
C
Vc(t)
VR2(t)
= V2(t)
+
Vs(s)
Figure 1: A first-order low-pass RC filter represented in the time domain.
I₁(s)
R1
W
+
V₁(s)
V₂(s)
12(s)
Ic(s)
+
Vout(S)
==
Vc(s)
Vc(s)
Zc(s)
=
=
VR2(S)
V2(s)
Figure 2: A first-order low-pass RC filter represented in the s-domain.
Chapter 14 Solutions
Fundamentals of Electric Circuits
Ch. 14.2 - Obtain the transfer function VoVs of the RL...Ch. 14.2 - Prob. 2PPCh. 14.4 - Draw the Bode plots for the transfer function...Ch. 14.4 - Sketch the Bode plots for H()=50j(j+4)(j+10)2Ch. 14.4 - Construct the Bode plots for H(s)=10s(s2+80s+400)Ch. 14.4 - Obtain the transfer function H() corresponding to...Ch. 14.5 - A series-connected circuit has R = 4 and L = 25...Ch. 14.6 - A parallel resonant circuit has R = 100 k, L = 50...Ch. 14.6 - Calculate the resonant frequency of the circuit in...Ch. 14.7 - For the circuit in Fig. 14.40, obtain the transfer...
Ch. 14.7 - Design a band-pass filter of the form in Fig....Ch. 14.8 - Design a high-pass filter with a high-frequency...Ch. 14.8 - Design a notch filter based on Fig. 14.47 for 0 =...Ch. 14.9 - Prob. 14PPCh. 14.10 - Obtain the frequency response of the circuit in...Ch. 14.10 - Consider the network in Fig. 14.57. Use PSpice to...Ch. 14.12 - For an FM radio receiver, the incoming wave is in...Ch. 14.12 - Repeat Example 14.18 for band-pass filter BP6....Ch. 14.12 - If each speaker in Fig. 14.66 has an 8- resistance...Ch. 14 - Prob. 1RQCh. 14 - On the Bode magnitude plot, the slope of 1/5+j2...Ch. 14 - On the Bode phase plot for 0.5 50, the slope of...Ch. 14 - How much inductance is needed to resonate at 5 kHz...Ch. 14 - The difference between the half-power frequencies...Ch. 14 - Prob. 6RQCh. 14 - Prob. 7RQCh. 14 - Prob. 8RQCh. 14 - What kind of filter can be used to select a signal...Ch. 14 - A voltage source supplies a signal of constant...Ch. 14 - Find the transfer function Io/Ii of the RL circuit...Ch. 14 - Using Fig. 14.69, design a problem to help other...Ch. 14 - For the circuit shown in Fig. 14.70, find H(s) =...Ch. 14 - Find the transfer function H(s) = Vo/Vi of the...Ch. 14 - For the circuit shown in Fig. 14.72, find H(s) =...Ch. 14 - For the circuit shown in Fig. 14.73, find H(s) =...Ch. 14 - Calculate |H()| if HdB equals (a) 0.1 dB (b) 5 dB...Ch. 14 - Design a problem to help other students calculate...Ch. 14 - A ladder network has a voltage gain of...Ch. 14 - Design a problem to help other students better...Ch. 14 - Sketch the Bode plots for H()=0.2(10+j)j(2+j)Ch. 14 - A transfer function is given by...Ch. 14 - Construct the Bode plots for...Ch. 14 - Draw the Bode plots for H()=250(j+1)j(2+10j+25)Ch. 14 - Prob. 15PCh. 14 - Sketch Bode magnitude and phase plots for...Ch. 14 - Sketch the Bode plots for G(s)=s(s+2)2(s+1), s = jCh. 14 - A linear network has this transfer function...Ch. 14 - Sketch the asymptotic Bode plots of the magnitude...Ch. 14 - Design a more complex problem than given in Prob....Ch. 14 - Sketch the magnitude Bode plot for...Ch. 14 - Find the transfer function H() with the Bode...Ch. 14 - The Bode magnitude plot of H() is shown in Fig....Ch. 14 - The magnitude plot in Fig. 14.76 represents the...Ch. 14 - A series RLC network has R = 2 k, L = 40 mH, and C...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design a series RLC resonant circuit with 0 = 40...Ch. 14 - Design a series RLC circuit with B = 20 rad/s and...Ch. 14 - Let vs = 20 cos(at) V in the circuit of Fig....Ch. 14 - A circuit consisting of a coil with inductance 10...Ch. 14 - Design a parallel resonant RLC circuit with 0 =...Ch. 14 - Design a problem to help other students better...Ch. 14 - A parallel resonant circuit with a bandwidth of 40...Ch. 14 - A parallel RLC circuit has R = 100 k, L = 100 mH,...Ch. 14 - A parallel RLC circuit has R = 10 k, L = 100 mH,...Ch. 14 - It is expected that a parallel RLC resonant...Ch. 14 - Rework Prob. 14.25 if the elements are connected...Ch. 14 - Find the resonant frequency of the circuit in Fig....Ch. 14 - For the tank circuit in Fig. 14.79, find the...Ch. 14 - Prob. 40PCh. 14 - Using Fig. 14.80, design a problem to help other...Ch. 14 - For the circuits in Fig. 14.81, find the resonant...Ch. 14 - Calculate the resonant frequency of each of the...Ch. 14 - For the circuit in Fig. 14.83, find: (a) the...Ch. 14 - For the circuit shown in Fig. 14.84. find 0, B,...Ch. 14 - For the network illustrated in Fig. 14.85, find...Ch. 14 - Prob. 47PCh. 14 - Find the transfer function Vo/Vs of the circuit in...Ch. 14 - Design a problem to help other students better...Ch. 14 - Determine what type of filter is in Fig. 14.87....Ch. 14 - Design an RL low-pass filter that uses a 40-mH...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design a series RLC type band-pass filter with...Ch. 14 - Design a passive band-stop filter with 0 = 10...Ch. 14 - Determine the range of frequencies that will be...Ch. 14 - (a) Show that for a band-pass filter,...Ch. 14 - Determine the center frequency and bandwidth of...Ch. 14 - The circuit parameters for a series RLC band-stop...Ch. 14 - Find the bandwidth and center frequency of the...Ch. 14 - Obtain the transfer function of a high-pass filter...Ch. 14 - Find the transfer function for each of the active...Ch. 14 - The filter in Fig. 14.90(b) has a 3-dB cutoff...Ch. 14 - Design an active first-order high-pass filter with...Ch. 14 - Obtain the transfer function of the active filter...Ch. 14 - A high-pass filter is shown in Fig. 14.92. Show...Ch. 14 - A general first-order filter is shown in Fig....Ch. 14 - Design an active low-pass filter with dc gain of...Ch. 14 - Design a problem to help other students better...Ch. 14 - Design the filter in Fig. 14.94 to meet the...Ch. 14 - A second-order active filter known as a...Ch. 14 - Use magnitude and frequency scaling on the circuit...Ch. 14 - Design a problem to help other students better...Ch. 14 - Calculate the values of R, L, and C that will...Ch. 14 - Prob. 74PCh. 14 - In an RLC circuit, R = 20 , L = 4 H, and C = 1 F....Ch. 14 - Given a parallel RLC circuit with R = 5 k, L = 10...Ch. 14 - A series RLC circuit has R = 10 , 0 = 40 rad/s,...Ch. 14 - Redesign the circuit in Fig. 14.85 so that all...Ch. 14 - Refer to the network in Fig. 14.96. (a) Find...Ch. 14 - (a) For the circuit in Fig. 14.97, draw the new...Ch. 14 - The circuit shown in Fig. 14.98 has the impedance...Ch. 14 - Scale the low-pass active filter in Fig. 14.99 so...Ch. 14 - The op amp circuit in Fig. 14.100 is to be...Ch. 14 - Using PSpice or MultiSim, obtain the frequency...Ch. 14 - Use PSpice or MultiSim to obtain the magnitude and...Ch. 14 - Using Fig. 14.103, design a problem to help other...Ch. 14 - In the interval 0.1 f 100 Hz, plot the response...Ch. 14 - Use PSpice or MultiSim to generate the magnitude...Ch. 14 - Obtain the magnitude plot of the response Vo in...Ch. 14 - Obtain the frequency response of the circuit in...Ch. 14 - For the tank circuit of Fig. 14.79, obtain the...Ch. 14 - Using PSpice or MultiSim, plot the magnitude of...Ch. 14 - For the phase shifter circuit shown in Fig....Ch. 14 - For an emergency situation, an engineer needs to...Ch. 14 - A series-tuned antenna circuit consists of a...Ch. 14 - The crossover circuit in Fig. 14.108 is a low-pass...Ch. 14 - The crossover circuit in Fig. 14.109 is a...Ch. 14 - A certain electronic test circuit produced a...Ch. 14 - In an electronic device, a series circuit is...Ch. 14 - In a certain application, a simple RC low-pass...Ch. 14 - In an amplifier circuit, a simple RC high-pass...Ch. 14 - Practical RC filter design should allow for source...Ch. 14 - The RC circuit in Fig. 14.111 is used for a lead...Ch. 14 - A low-quality-factor, double-tuned band-pass...
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