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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ENGR 264, Lab #5: RC Filters
Part 1: Preliminary Work
In the space below, using the formula for the complex impedance of a capacitor, derive the transfer
function (gain magnitude and phase) for a low pass and high pass passive RC filter. Note: some of those
derivations were done in class and are part of your homework.
Low-pass filter:
Identify the 3rd order transfer function ?(?) of the op amp from the Bode plot of the open-loop response in the spec sheet:
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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- Hw. #I R3 RI using the followiag Rz Vi circuit. RL O ) Derive the transfer function Tis) = Vols) V:(s) b) what is the order of then filter? c) what type of filter is thisarrow_forward4. The Bode plot shown below represents the voltage gain of a particular amplifier. Sketch the input and output waveforms, v,() and v(1) if the input to the amplifier is v, (1) = 10 + 10cos(400t + 60°) mV. Use the graph paper on the next page for your sketches and label the minimum and maximum value for each waveform. 60 Bode Diagram 58 56 54 52 50 48 46 44 42 40 -5 -10 -15 -20 -25 -30 -35 -40 -45 -50 -55 -60 100 101 102 Frequency (rad/s) 10 104 105 (Bap) aseud Magnitude (dB)arrow_forwardВ Vin -w Vo Figure 14.91 (Exercise 14.40) Figure 14.91 shows the cascaded RC sections that form the feedback network for the RC phase-shift oscillator. Show that the feedback ratio is Vin с www.m R с с HE R³ (R³ -- 5RX²) + j(X² – 6R²Xc)arrow_forward
- I want the answer in detail and as quickly as possible please Q/ Using capacitors and resistors, design A - (band-pass filters) with Fl=108HZ and Fh=112HZ. B - Design (band-pass filters) with Fl = 218HZ and Fh = 223HZ. %3D ((And make sure that the values are available in the market))arrow_forwardLESSON: CONTROL SYSTEMS Obtain the transfer function Vo (s) / Vi (s) in terms of parameters for the electrical circuit given in the figure. Draw the Bode diagram of the expression you obtained by writing the values of R1 = 1 Kohm, R2 = 1 Kohm, C1 = 1nF, C2 = 1nF to the transfer function you found. R1 R2 Vin C1 C2 Vout NOTE: YOU CAN MAKE THE SOLUTIONS IN A DETAILED WAY!arrow_forwardih:22/1/2022 Imza dan çıkamazlar. Q4 Calculate the transfer function of the circuit shown if Ao- infinity What choice of component values reduces the gain Vout/Vin-1 at all input frequencies AC Input Voltage Vin R1 +/cz/ C2 AO= ∞ Voutarrow_forward
- I want the answer in detail and as quickly as possible please Q/ Using capacitors and resistors, design A - (band-pass filters) with Fl=105HZ and Fh=115HZ. B - Design (band-pass filters) with FI = 215HZ and Fh = 225HZ.arrow_forwardThe following figure shows a system that couples an inverting band pass filter with a high pass filter. Using parameters given in the figure, derive the transfer function of Vo(s)/Vi(s) Vi Inverting band pass filter R₁ ww C₁ C₂ R₂ High pass filter C3 R3 R4 R5 Vo Hint: You could start with writing the transfer function of the two filters separately, then combine the two equations into one. Your transfer function may be written as the product of multiple filters and/or gain stages - you do not need to reduce to simplest form but you should have each piece derived somewhere.arrow_forwardQ4/design HPF with R= 5K2and C=50nF then calculate the magnitude and phase of transfer function for f= 1K Hzarrow_forward
- Activity 4: For the low-pass active filter shown below, the transfer function is expressed as : V. V ZR + Zc where: rad w = angular frequency in 106 ZR = 2000 , Zc jw ZR Vị ow- -o Vo Zc 4-A) Show that the can be written as: V. 500 V 500 + jwarrow_forwardAssume the OPAMP below has the transfer function of: H opam р 10 = S+1 6 Mathematically derive the maximum frequency for which the circuit will behave ideally. R₁ = 5kQ Vin R₂ = 5KQ www Voutarrow_forwardobtain the transfer function Vo/Vi of the circuit of figure 14.69arrow_forward
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Why Use Bode Plots? | Understanding Bode Plots, Part 1; Author: MATLAB;https://www.youtube.com/watch?v=F6-EaZobHNk;License: Standard Youtube License