1 In the filter circuit shown in Figure P6.31:Rs = 500 2R1 = 5 k2R. = 4 k2C = 5 pFL = 1 mH%3DCompute and plot the voltage frequency responsefunctionV.(jo)V,(j»)H(jp) =What type of filter is this?wwRsR.V(ja)R1 V(j@)o+

Find the equivalent impedance of the parallel combination of Rc, L, and C.

Answered: 1 In the filter circuit shown in Figure…

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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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) - -
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?
Q6. Figure Q6 shows an LCR resonant filter circuit. If the quality factor Q is large enough Vịn C 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(w) 1+ 2JRC(w – wo) Taking L=1 mH, C=25 nF and R=2 kQ. (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.
How did they get c) d) e) f) g)?
6.1 a. Determine the frequency response Vout (ja)/Vin (jw) for the circuit of Figure P6.1. b. Plot the magnitude and phase of the circuit for frequencies between 1 and 100 rad/s on graph paper, with a linear scale for frequency. c. Repeat part b, using semilog paper. (Place the frequency on the logarithmic axis.) d. Plot the magnitude response on semilog paper with magnitude in dB. + Vin(1) 0.1 H 000 100 ΚΩ Figure P6.1 www + Vout(1)
QUESTION 4 Q4.1 Show how can a series RLC can be used as a crude band-reject filter? Q4.2 How would you determine the centre frequency for this filter? Q4.3 Show how a graph of H(jo) versus oo for this filter will look like. Q4.4 In the graph, show the possible locations of the centre frequency, and the two cutoff frequencies. Justify why you chose these locations in the graph.

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1 In the filter circuit shown in Figure P6.31: Rs = 500 2 R1 = 5 k2 R. = 4 k2 C = 5 pF L = 1 mH %3D Compute and plot the voltage frequency response function V.(jo) V,(j») H(jp) = What type of filter is this? ww Rs R. V(ja) R1 V(j@) o+