Q6. Figure Q6 shows an LCR resonant filter circuit. If the quality factor Q is large enough Vin Vout Figure Q6: LCR filter then the frequency transfer function (in terms of the circular frequency w) of this filter can be approximated, 1 H(@) 1+ 2JRC(w – wo) Taking L=1 mH, C=25 nF and R=2 k2. (a) Calculate the expected resonant frequency, vo, of this filter (in kHz). (b) Find the -3 dB points (in power) for this filter and hence determine its bandwidth. (c) Determine the value of the quality factor Q for this filter. (d) Using the properties of Fourier transforms and the tabulated selected transforms, determine the impulse response function corresponding to this transfer function. (e) Sketch the form of the real part of the impulse response function. (f) A bandpass filter, such as the one described above, is usually inserted after a chopper or rectifier modulator: explain why and identify the requirements on the resonant frequency and the bandwidth of such a bandpass filter.

Q6. Figure Q6 shows an LCR resonant filter circuit. If the quality factor Q is large enough Vin Vout Figure Q6: LCR filter then the frequency transfer function (in terms of the circular frequency w) of this filter can be approximated, 1 H(@) 1+ 2JRC(w – wo) Taking L=1 mH, C=25 nF and R=2 k2. (a) Calculate the expected resonant frequency, vo, of this filter (in kHz). (b) Find the -3 dB points (in power) for this filter and hence determine its bandwidth. (c) Determine the value of the quality factor Q for this filter. (d) Using the properties of Fourier transforms and the tabulated selected transforms, determine the impulse response function corresponding to this transfer function. (e) Sketch the form of the real part of the impulse response function. (f) A bandpass filter, such as the one described above, is usually inserted after a chopper or rectifier modulator: explain why and identify the requirements on the resonant frequency and the bandwidth of such a bandpass filter.

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...

See similar textbooks

Similar questions

In a series RLC circuit, the applied voltage is 120V. At resonance, the frequency is 200rad/sec, and the circuit current is 6.26 A. What is the resistance of the circuit (in Ohms)? (Use 2 decimal places. Unit is not required.)
Need Hand Drawn Please
(c) i. Draw the electronic circuit for a 1st order passive low pass filter,ii. Derive the transfer functions Vout/Vin in terms of capacitor C, resistor R and frequency fofthe low pass filter.iii. Draw the electronic circuit for a bandpass filter,iv. Sketch the bode plot showing the cut-off frequencies ofthe bandpass filter
In the filter shown in figure 8 the ratio between the output AC voltage Vout and input voltage Vin is given by Vout R wCR (1) R+ j(wL – 1/(wC)) Vin R+ j(w?LC – 1) - -
Im + Re -100 -1 Figure 1: We want to sketch the bode plot for this filter! 1) Rewrite H(s) in the "standard form" for Bode plots 2) Using paper + pencil, sketch the Bode magnitude and phase shift plots. 3) What kind of filter is this: Low-pass Bandpass High-pass Notch
7- Draw a Band-pass Filter circuit. How does the frequency look like? Plot the graph.
Please answer all subpart either dislike is ready Please all This is one question..
Figures (a) to (e) below show the asymptotic Bode diagrams (magnitude and phase) of the constituent parts of five different open-loop transfer functions, ??(?). The Bode diagrams are colour coded. Write the transfer function corresponding to the pair of Bode plots in the space provided to the right of each figure. No need to show any working – just write the standard form of transfer function equation for each diagram.
None
It says the resonate frequency is not the arithmetic mean of the high and low cutoff frequencies and that 6.5 is wrong? Any insight?
i need the answer quickly
Q2 Sketch the asymptotes of the Bode plot magnitude and phase for the controlled transfer function of the system described in the figure, calculate the gain and phase: margins, Take K = 1. d42u42 S+