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Sheet 5-2

The document outlines various exercises related to wave filters for a second-year electrical engineering course at Sohag University. It includes tasks such as determining transfer functions, designing lowpass, bandpass, and notch filters, and calculating parameters like cutoff frequencies and quality factors. The exercises aim to enhance understanding of filter design and analysis in electrical circuits.

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0% found this document useful (0 votes)
30 views2 pages

Sheet 5-2

The document outlines various exercises related to wave filters for a second-year electrical engineering course at Sohag University. It includes tasks such as determining transfer functions, designing lowpass, bandpass, and notch filters, and calculating parameters like cutoff frequencies and quality factors. The exercises aim to enhance understanding of filter design and analysis in electrical circuits.

Uploaded by

diaaelsagheer
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Sohag University Year 2021/2022

Faculty of Engineering 2nd year elec.


Electrical Engineering department Electrical Circuits (3)
SHEET 5
WAVE FILTERS
(1) Given the circuit shown with R1=2 ohm & R2=5 ohm
&C1 =0.1 F and C2=0.2 F. Determine the transfer function
H(s) = V0(s)/Vi(s)

(2) Find the transfer function V0/Vs .Show that the circuit
is a low pass filter

(3) Design an RL lowpass filter that uses a 40-mH coil


and has a cutoff frequency of 5 kHz.

(4) Design a series RLC type bandpass filter with


cutoff frequencies of 10 kHz and 11 kHz.
Assuming C=80 pF , find R, L, and Q.

(5) Determine the range of frequencies that will be passed by a series RLC banpass filter with
R=10 ohm , L=25 mH and C=0.5 microfarad.Find the quality
factor.

(6) Find the bandwidth and venter frequency of the bandstop


filter

(7) Find the transfer function for the following active filter
(8) Design an active lowpass filter with dc gain of 0.25 and a corner frequency of 500 Hz.

(9) For the following active filter ,Find the


transfer function and show that it is a lowpass
filter.

(10) Design a passive bandpass filter with a


lower cutoff frequency of 20.1 kHz and an upper cutoff frequency of 20.3 kHz .Take R=20 kilo
ohm .Calculate L,C and Q.

(11) Design a highpass filter with a high frequency gain of 5 and a corner frequency of 2 kHz
.Use a 0.1 µF capacitor in your design.

(12) Design an active notch filter for ω0 = 20 krad/sec ,K=5 and Q=10 .Use R=Ri=10 Kilo ohm.

Best regards,

Dr. Ahmed Refai

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