Question # 1 a) A certain filter has the following transfer function. 1500 H(jw)= (jw+50)² Find the value of frequency at which the magnitude equal (0.5 Hmax) b) The following circuit represents a filter 1- find he transfer function H(jw)= Vo(j)/Vs(jw). 2- find the kind of the filter, center frequency, cutoff frequencies and quality factor Vin(t) R2 R1 Vo(t)

Question # 1 a) A certain filter has the following transfer function. 1500 H(jw)= (jw+50)² Find the value of frequency at which the magnitude equal (0.5 Hmax) b) The following circuit represents a filter 1- find he transfer function H(jw)= Vo(j)/Vs(jw). 2- find the kind of the filter, center frequency, cutoff frequencies and quality factor Vin(t) R2 R1 Vo(t)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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A resistor, denoted as Rl, is added in series with the inductor in the circuit . The new low-pass filter circuit is shown. 1. a) Derive the expression for H(s) where H(s)=Vo/Vi. 2. b) At what frequency will the magnitude of H(jω) be maximum? 3. c) What is the maximum value of the magnitude of H(jω)? 4. d) At what frequency will the magnitude of H(jω) equal its maximum value divided by 2? 5. e) Assume a resistance of 75 Ω is added in series with the 10 mH inductor in the circuit. Find ωc, H(j0), H(jωc), H(j0.2ωc), and H(j5ωc).
DESIGNPROBLEM_PSPICEMULTISIMUsing a 5 mH inductor, design a high-pass, RL, passive filter with a cutoff frequency of 25 krad/s . 1. a) Specify the value of the resistance. 2. b) Assume the filter is connected to a pure resistive load. The cutoff frequency is not to drop below 24 krad/s. What is the smallest load resistor that can be connected across the output terminals of the filter?
a-) Transfer in the form of H(s) = Vout(s) / Vin(s) of the circuit given above Determine the zero and poles by obtaining the function of the energy storage elements. accept initial values b-) By using the transfer function you obtained in the previous option, Plot the approximate total amplitude response graph with the help of BODE curves. In these drawings the total amplitude response equations of the system, the amplitude of each component in these equations response graphs and the total graphs drawn should include frequency values.
Let the impulse response of a filter be ℎ[?] = {ℎ[0] = −0.5, 0.5}a) Calculate the frequency response ?(???). Is it a low-pass or a high-pass filter? Plot boththe magnitude and phase responses.b) Obtain the I/O relation for this filter.c) Is this a causal filter? Explain your answer.
Hi, for this question, can I use 1 1st order LPF and 1 1st order HPF in cascade to design the filter circuit? If so, how would I solve this question. Thank you.
a-) Determine the zero and poles of the circuit given above by obtaining the transfer function as H(s) = Vout(s) / Vin(s) (Assume the initial values of the energy storage elements are zero). b-) Using the transfer function obtained in the previous option, draw the approximate total amplitude response graph of this function with the help of BODE curves. In these drawings, the total amplitude response equations of the system, the amplitude response graphs of each component in these equations, and the frequency values in the total graphs drawn should be included.
The transfer function for the bandreject filter shown in isH(s)=s2+(1LC)s2+(RL)s+(1LC).Show that if the circuit is scaled in both magnitude and frequency, thetransfer function of the scaled circuit is equal to the transfer function ofthe unscaled circuit with s replaced by (s/kf), where kf is the frequencyscale factor.
A measurement to be used to measure the voltage numerically in electrical energy systemssystem, according to time expressionv= 311sin (314t) + 50sin (1570t + 20o) + 40sin (3454t + 30o) (V)A voltage sign is applied. The analog filter in this measuring systemIt is meant to pass the last component in the voltage expression, destroying the first and second component. First order RC filter will be designed for the above measurement system. Draw the circuit of the filter. Infer the transfer function.
The voltage transfer function for either high-pass prototype filtershown isH(s)=ss+1. Show that if either circuit is scaled in both magnitude and frequency, thescaled transfer function isH′(s)=(s/kf)(s/kf)+1.
a ) Using 0.1 pF capacitors , design an active broadband first - order bandpass filter that has a lower cutoff frequency of 200 Hz , an upper cutoff frequency of 2000 Hz , and a passband gain of 0 dB . b ) Write the transfer function for the scaled filter . c ) Use the transfer function derived in part ( b ) to find H ( wo ) where wo is the center frequency of the filter . d ) What is the passband gain ( in decibels ) of the filter at wo ?
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RLC bandpass design： The target is to filter out the square-wave noise from the 120kHz sinsousidal signal using the RLC banpass filter (series LCR configuration). 1- Derive the transfer function for the following second order LCR filter. 2- Derive an expression for the resonant frequency and the quality factor of the filter. 3- The objective is to filter out the square-wave noise from the sinousidal 120kHz signal. The two closest frequency components of the square wave must be attenuated at least by a factor of √2. We suggest you to use either a 10 mH inductor. Calculate the required Q and the repsective R and C to achieve the filter requirement.