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 16P
Sketch Bode magnitude and phase plots for
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4. Draw the Bode Diagram (phase and magnitude) for the system with the following
transfer function:
6s + 22s +18
X(s)=-
s' +6s° +11s +6
The inductance coil in a series resonant circuit is 0.2 H and the resistance coil is 50 Q. What is the capacitance value in the circuit that causes resonance at a frequency of 150 KHz? The source produces an emf of 100 V r.m.s.
The positive values of "K" and "a" so
that the system shown in the figure
below oscillates at a frequency of 2
rad/sec respectively are
K(s+ 1)
R (s)-
C(s)
(s + as? + 2s + 1)
O 1,0.75
O 1,0.66
2,0.66
2,0.75
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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- For the following parallel RLC circuit, find the resonant frequency. (Neglect winding resistance). Given: • V = 18 V • L = 0.1 mH • C = 0.015 µF Resonant Frequency: f = kHz Vs 18 V 0.1 mH 0.015 μF :Carrow_forwardThe input to a circuit with the following Bode plot is v¡(t) = 1.2V · cos(2л 10kHz. t) What is the output, vo(t)? Phase [deg] -5 -10 -15 -20 103 100 50 -50 -100 103 104 104 Bode Plot Frquency [Hz] 105 105 106 106arrow_forwardProblem 1: Below shows the Bode plots of a second order system. Find the transfer function associated with the plots. magnitude (dB) phase (degrees) -10 -20 -30 -40 -50 -60 -70 -80 ● -50 -100 -150 -200 10 10 frequency 100 100 - YO U(s)arrow_forward
- • Draw the bode plot for this system K G(s) : s3 + 10s2 + 49s + 150arrow_forwardListen In the following RLC circuit, the source E is 10 V z 0° , R=D100 2. What is the current at the second half-power frequency after resonance? Please check the closest answer that applies. 70.7 mA 20° 100 mA 45° 70.7 mA 245° 100 mA 20°arrow_forwardThe Bode diagram of a system with transfer function GH(s) = shown in figure below. Then, n and K are: K "(45 +1)(8s+1) Bode Diagram 100 75 50 25 -25 -50 -75 -198 -100 -90 -180 -270 103 102 101 Frequency (rad/s) 10° 10 Phase (deg) Magnitude (dB)arrow_forward
- The total admittance of the following circuit at resonance is L Select one: a. 1 (R+Ls+ O b. R (R+L+ O d. R Cs 1 (+/-/-) vo the Rarrow_forward5x10ʻs Sketch the Bode plot (Magnitude and Phase Angle) for, G(s) = and verify the behavior of +505s +2500 system for different frequencies through bode plot. Bode Plot 40 20 -20 -40 -60 10' 10° 10' 10 90 45 -45 -90 -135 -180 10 10° 10' 10 (saaubap) aseyd Magnitude (dB)arrow_forwardA series BLC aircuit consists of Resistance R = 5ohm, Inductor L= 150 mt & capacitance C = 10MF. Find the resonant Frequency?arrow_forward
- 1%A. l. N O A:IA In a series RLC circuit that is operating above the resonant frequency, the current O Leads the applied voltage Is in phase with the applied voltage Lags the applied voltage Is zero The mathematical relation between impedance and admittance locus are Reciprocally Opposite Mirrored Inverselyarrow_forwardin Choose the correct transfer function corresponding to the following asymptotic Bode plot. Bode Diagram I d Magnitude (dB) 60 40 . 20 0 -20 40 -60 10¹ Select one: O a. O b. Od 10 60(8+3) (8+30)(8+100) 1000(8+30) (8+3)(s+100) 10000(+30) (8+3)(8+100) 60(8+30) (8+3)(8+100) 10¹ 10² Frequency (rad/s) 10³ 10*arrow_forwardA series RLC circuit is connected to an AC power source. As shown in the figure R= 100 2, C= 80 nF, and L = 45 mH. The estimated natural resonant frequency for the circuit is R = 100 N C = 80 nF L = 45 mH O 7.5 x 10' Hz. 6.9 x 102 Hz. O 2.6 x 10° Hz. O none of the above. 1.2 x 10° Hz. 4.8 x 10° Hz. 3.5 x 10° Hz.arrow_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