Assignment 5.2

Identify the reason for a nonsinusoidal signal being distorted when it passes through a filter. -The distortion occurs because harmonics are removed or rejected, leaving a different waveshape. -The distortion occurs because harmonics are synchronized, leaving a different waveshape. -The distortion occurs because the signal is modulated, leaving a different waveshape. -The distortion occurs because harmonics are added in the filter, leaving a different waveshape.

A parallel R-L-C circuit is fed by a constant current source of variable frequency. The circuit resonates at 100 kHz and the Q-factor measured at this frequency is 5. Find the frequencies at which the amplitude of the voltage across the circuit falls to (a) 70.7% (b) 50% of the resonant frequency amplitude.

Use a 36-mH inductor to design a low-pass filter having a cutoff frequency of 36 kHz. Draw a schematic of your design and sketch the frequency response of the voltage gain and the phase shift.

R. Frequency...

2. The circuit of the Figure is a notch filter. Generate a magnitude plot of the transfer function H(f) = Vout/Vin with frequency ranging from 10 Hz. to 100 kHz. Then, analyze the circuit at very high and very low frequencies to provide checks on the plot. Use the plot to determine the frequency of maximum attenuation and the value of the transfer function at that frequency. Hint: Use the phasor transformation. www R₁ R₁ = 90 92 R₂=1022 R₂-100 £2 0000 L ww R₂ L = 100 mH C=0.1 μF www Ry Vout

Design a series RLC bandpass filter as shown in the figure with lower cut-off frequency f = 400 Hz and bandwidth B = 9600 Hz %3D a) Determine the higher cut-off frequency f# b) Determine the center or resonant frequency fo in Hz and wo in rad/s and calculate the quality factor Q c) Choose C = 2 nF and find the values of R and L to meet the design specifications C No V: O

Proposed an industrial application with a transfer function. Using the proposed transfer function: 1. Sketch the corresponding magnitude and phase asymptotic Bode plot by hand (Using semi log paper). 2. Plot the corresponding Bode plot in MATLAB and verify that the result corresponds to you hand-sketched asymptotic plot. refer here https://www.mathworks.com/help/ident/reflbode.html 3. Use the MATLAB function to obtain the gain margin and phase margin. Tips: watch class video 4. Comment on system stability based on obtaining gain margin and phase margin.

Calculate the values of L and C in part A. Make it clear how you found them

a) What kind of filter is this? Be as detailed as you can be. b) What is the equation for the transfer function Vo/v; of this filter? c) What is the equation for the break frequency? Vi R₁ www www R₂ VOUT

Explain nicely and write clearly Answer Correctly Completely Answer only if you are sure I will like you on your answer and invite my colleagues also Thank you :)

Need help steps would be helpful please and thank you!

A filter has a 6-dB bandwidth of 3500 Hz and a 60-dB bandwidth of 8400 Hz. What is the shape factor?

Design a filter using the window method and provides the specifications for the filter design. Here is a summary of the specifications given: Stopband: [0 kHz, 4 kHz] Passband: [5.5 kHz, 16 kHz] Maximum ripple in the passband: 0.1 dB Minimum attenuation in the stopband: 51 dB Sampling frequency: 32 kHz The task is to design a filter (by hand, with the impulse response formula) that meets these specifications.

The circuit shown in the given figure is an active filter. Assume C=120 pF. Ro-184 kohm. R₁33 kohm, and R2 = 60 kohm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 4-5 www 14 www R₂ 2 ww 644 Determine the cutoff frequencies. The cutoff frequencies w₁ and 2 are 896 106 rad/s and 5.55-105 red/s, respectively. HE -

As part of a radio receiver, you are asked to design a simple bandpass filter using a series inductor, capacitor and resistor. The filter needs to pass a centre frequency of f0 = 1089 kHz with a bandwidth of 9 kHz. Do this by finding the capacitor and resistor values together with a 240 uH inductor that will give you the correct centre frequency and bandwidth. Also, calculate the quality factor Q for your filter. Sketch the filter circuit and show all your calculations.

A filter in the form of a series RLC circuit is designed to operate at a resonant frequency of 20kHZ. Included within the filter is a 20 mH inductance and 80 resistance. Determine the bandwidth of the filter. ANS: 63.66 Hz

Answer the following wuth illustration and solutions. 1.) A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 500Hz and below 1.5kHz. Assuming that both the resistor have values of 1kohms, calculate the values of the two capacitors required. Find also the center frequency of the two frequencies. This is the example/guide that might help.