Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 15, Problem 65E
Design a fourth-order high-pass Butterworth filter having a minimum gain of 15 dB and a corner frequency of 1100 rad/s.
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In the circuit, the input is "is (t)" and the output is "io (t)". Adhering to the topology shown, and since C = 1 μF, design a low-pass filter that has a resonant frequency ω0 = 200 rad s − 1, a unity gain, and a quality factor of 0.707. To do this, obtain the transfer function H (ω) and the values of R and L.Note: The filter gain is | H (ω) |.
Given this transfer fuction of a low-pass filter. Find the cut frequency (image attached below)
Design a unity-gain parallel bandreject filter with a centerfrequency of 250 rad/s and a bandwidth of 2000 rad/s. Use 1 μFcapacitors, and specify all resistor values.
Chapter 15 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 15.1 - Write an expression for the transfer function of...Ch. 15.2 - Calculate HdB at = 146 rad/s if H(s) equals (a)...Ch. 15.2 - Prob. 3PCh. 15.2 - Draw the Bode phase plot for the transfer function...Ch. 15.2 - Construct a Bode magnitude plot for H(s) equal to...Ch. 15.2 - Draw the Bode phase plot for H(s) equal to (a)...Ch. 15.2 - Prob. 7PCh. 15.3 - A parallel resonant circuit is composed of the...Ch. 15.3 - Prob. 9PCh. 15.4 - A marginally high-Q parallel resonant circuit has...
Ch. 15.5 - A series resonant circuit has a bandwidth of 100...Ch. 15.6 - Referring to the circuit of Fig. 15.25a, let R1 =...Ch. 15.6 - Prob. 13PCh. 15.6 - Prob. 14PCh. 15.6 - The series combination of 10 and 10 nF is in...Ch. 15.7 - A parallel resonant circuit is defined by C = 0.01...Ch. 15.8 - Design a high-pass filter with a cutoff frequency...Ch. 15.8 - Design a bandpass filter with a low-frequency...Ch. 15.8 - Design a low-pass filter circuit with a gain of 30...Ch. 15 - For the RL circuit in Fig. 15.52, (a) determine...Ch. 15 - For the RL circuit in Fig. 15.52, switch the...Ch. 15 - Examine the series RLC circuit in Fig. 15.53, with...Ch. 15 - For the circuit in Fig. 15.54, (a) derive an...Ch. 15 - For the circuit in Fig. 15.55, (a) derive an...Ch. 15 - For the circuit in Fig. 15.56, (a) determine the...Ch. 15 - For the circuit in Fig. 15.57, (a) determine the...Ch. 15 - Sketch the Bode magnitude and phase plots for the...Ch. 15 - Use the Bode approach to sketch the magnitude of...Ch. 15 - If a particular network is described by transfer...Ch. 15 - Use MATLAB to plot the magnitude and phase Bode...Ch. 15 - Determine the Bode magnitude plot for the...Ch. 15 - Determine the Bode magnitude and phase plot for...Ch. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - For the circuit of Fig. 15.56, construct a...Ch. 15 - Construct a magnitude and phase Bode plot for the...Ch. 15 - For the circuit in Fig. 15.54, use LTspice to...Ch. 15 - For the circuit in Fig. 15.55, use LTspice to...Ch. 15 - Prob. 21ECh. 15 - A certain parallel RLC circuit is built using...Ch. 15 - A parallel RLC network is constructed using R = 5...Ch. 15 - Prob. 24ECh. 15 - Delete the 2 resistor in the network of Fig....Ch. 15 - Delete the 1 resistor in the network of Fig....Ch. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - A parallel RLC network is constructed with a 200 H...Ch. 15 - Prob. 32ECh. 15 - A parallel RLC circuit is constructed such that it...Ch. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - An RLC circuit is constructed using R = 5 , L = 20...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - For the network of Fig. 15.25a, R1 = 100 , R2 =...Ch. 15 - Assuming an operating frequency of 200 rad/s, find...Ch. 15 - Prob. 41ECh. 15 - Prob. 42ECh. 15 - For the circuit shown in Fig. 15.64, the voltage...Ch. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - The filter shown in Fig. 15.66a has the response...Ch. 15 - Prob. 48ECh. 15 - Examine the filter for the circuit in Fig. 15.68....Ch. 15 - Examine the filter for the circuit in Fig. 15.69....Ch. 15 - (a)Design a high-pass filter with a corner...Ch. 15 - (a) Design a low-pass filter with a break...Ch. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Design a low-pass filter characterized by a...Ch. 15 - Prob. 56ECh. 15 - The circuit in Fig. 15.70 is known as a notch...Ch. 15 - (a) Design a two-stage op amp filter circuit with...Ch. 15 - Design a circuit which removes the entire audio...Ch. 15 - Prob. 61ECh. 15 - If a high-pass filter is required having gain of 6...Ch. 15 - (a) Design a second-order high-pass Butterworth...Ch. 15 - Design a fourth-order high-pass Butterworth filter...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - A piezoelectric sensor has an equivalent circuit...Ch. 15 - Design a parallel resonant circuit for an AM radio...Ch. 15 - The network of Fig. 15.72 was implemented as a...Ch. 15 - Determine the effect of component tolerance on the...
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- Design a passive 1-order RC high-pass filter with a cutoff frequency of 8 kHz.arrow_forwardDESIGNPROBLEM_PSPICEMULTISIM Use a 500 nF capacitor to design a bandreject filter, as shown . The filter has a center frequency of 4 kHz and a quality factor of 5. 1. a) Specify the numerical values of R and L. 2. b) Calculate the upper and lower corner, or cutoff, frequencies in kilohertz. 3. c) Calculate the filter bandwidth in kilohertz.arrow_forwardFirst calculate the transfer function H(z) from the following difference equation.Then extract the filter parameters (as and bs) that are rquired to implement this filter in Python. y[n] = 2y[n-2] + 7y[n-1] + 4x[n] a = .. , .. , .. , .. b = .. , .. , .. , .. Please show me step by step to understand it clearlyarrow_forward
- Design a 1st-order RC passive low-pass filter with a cut-off frequency of 13.2 kHz.arrow_forwardDESIGNPROBLEM_Using a 100 nF capacitor, design a highpass passive filter with a cutoff frequency of 300 Hz. 1. a) Specify the value of R in kilohms. 2. b) A 47 kΩ resistor is connected across the output terminals of the filter. What is the cutoff frequency, in hertz, of the loaded filter?arrow_forwardDesign a fourth-order low-pass filter with a cutoff frequency of 500 Hz and apassband gain of 10. Use 1 μF capacitors. Sketch the Bode magnitude plot forthis filter.arrow_forward
- 9.61 Use the bilinear transformation to design a first-order low-pass Butterworth filter that has a 3-dB cutoff frequency w,. = 0.5piarrow_forwardDesign a parallel bandreject filter with a center frequency of 2000 rad/s, abandwidth of 5000 rad/s, and a passband gain of 6. Use 0.4 F capacitors andspecify all resistors values.arrow_forwardThe cascaded RF filters of a TRF receiver have 590µH inductors. The variable capacitors have a capacitance tuning ratio of 6.5. With these filters, the receiver can tune to a minimum of 500kHz.a. determine the maximum capacitance of the variable capacitors b. determine the minimum capacitance of the variable capacitors c. what is the maximum resonant frequency of the RF filters?arrow_forward
- a) Design a broadband parallel bandreject filter with a lower cutoff frequency of 1000 rad/s, a bandwidth of 3000 rad/s, and a passhand gain of 10. Use 0.5 uF capacitors. b) Draw the circuit of the filter in (a). c) Calculate the gain at the center frequencyarrow_forwardThe non inverted active low pass filter has impedance resistor, input resistor, and feedback resistor : 25KΩ, 17KΩ and 10KΩ, respectively. Find the Decibel Gain when the capacitor is 500nF ?arrow_forwarda) An ideal differentiator is placed in series with an ideal lowpass filter with a gain of 8 and a cutoff frequency of 26π rad/s. Find the overall frequency responseand plot its magnitude. b) If x(t) = 5 cos(5 + 15◦) + 10 cos(20t) + 5 cos(15t − 45◦), find y(t).arrow_forward
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