Question #2 14.45 The purpose of this problem is to investigate how a resistive load connected across the output terminals of the bandreject filter shown in Fig. 14.28(a) affects the behavior of the filter. The loaded filter circuit is shown in Fig. P14.45. a) Find the voltage transfer function V/V₁₁ b) What is the expression for the center frequency? c) What is the expression for the bandwidth? d) What is the expression for the quality factor? e) Evaluate H(j,). 1) Evaluate (0) g) Evaluate Hjo). h) What are the expressions for the corner fre- quencies a and 7 Figure P14.45 R w Solution #5 AC +of+(U/C) The Th RPC+1 -(+) www N- Н 10- И мом - 0000-0 -x K - + 60-208 2-717 H-N-K Let us representa comer tepung. Th mowl- (c) L R

Question #2 14.45 The purpose of this problem is to investigate how a resistive load connected across the output terminals of the bandreject filter shown in Fig. 14.28(a) affects the behavior of the filter. The loaded filter circuit is shown in Fig. P14.45. a) Find the voltage transfer function V/V₁₁ b) What is the expression for the center frequency? c) What is the expression for the bandwidth? d) What is the expression for the quality factor? e) Evaluate H(j,). 1) Evaluate (0) g) Evaluate Hjo). h) What are the expressions for the corner fre- quencies a and 7 Figure P14.45 R w Solution #5 AC +of+(U/C) The Th RPC+1 -(+) www N- Н 10- И мом - 0000-0 -x K - + 60-208 2-717 H-N-K Let us representa comer tepung. Th mowl- (c) L R

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) as shown for a maximally flat second-order low-pass filter with fo =25 kHz, using the circuit as shown. Assume C =0.005μF.What is the filter bandwidth? (b) Use frequency scaling to change fo to 50 kHz.
A numerical filter design problem is given. This filter, which is desired to be causal and stable, suppresses 0 and π frequencies (having zero at z1=1 and z2=-1 points) and passes π/2 and –π/2 frequencies (p1=rejπ/2 and p2=re-jπ/2). have poles at the points) is desired. By choosing an appropriate r-value, the filter: a. give the system function and frequency response,b. Give the unit impulse response,c. Give the difference equation.
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.
The band-pass filter circuit with input vi(t) voltage and output v0(t) voltage is given. w=10000 rad/s center frequency wc1=? rad/s lower cutoff frequency wc2=?rad/s upper cutoff frequency B=? rad/s bandwidth Q=8 quality factor in the table? fill in the fields
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Exercise. There is a system that works with a sampling rate of 48 kpsp and requires a bandpass filter that allows the spectral components between the sequences fa=12kHz and fb=16kHz to pass. If you are using a 32-tap FIR filter. 3) What is the value of the central frequency, f0, in Hz of the band that the filter allows to pass? 4) what is the sketch of the frequency response for the bandpass filter?
Exercise. There is a system that works with a sampling rate of 48 kpsp and requires a bandpass filter that allows the spectral components between the sequences fa=12kHz and fb=16kHz to pass. If you are using a 32-tap FIR filter. 4) And what is the sketch of the frequency response for the bandpass filter?
The bode plot of the open loop transfer function of a quadratic system is shown above. If the settling time of the closed loop system is 4 seconds, calculate the undamped natural frequency of the system, the damping ratio, the highest amplitude value of the frequency response of the closed loop system and at which input frequency it occurs. Attention!!!: Use the numbers as three decimals during the design phases. Solution: Belonging to the closed-loop transfer function Damping rate = [ ? ] Undamped natural frequency = [ ? ] rad/s The highest amplitude value of the frequency response [ ? ] and [ ? ] occurs at the rad/sec input frequency.
bandreject filter with a lower cutoff frequency of 400 Hz, an uppercutoff frequency of 4000 Hz, and a passband gain of 0 dB. Use theprototype filter circuits introduced in the design process.2. Draw the circuit diagram of the filter and label all of thecomponents.3. What is the transfer function of the scaled filter?4. Evaluate the transfer function derived in (c) at the center frequencyof the filter. 5. What is the gain (in decibels) at the center frequency?6. Using a computer program of your choice, make a Bode magnitudeplot of the filter transfer function.
Derive an expression for the input impedance of the filter as shown.
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