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