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EE233 Homework 6: Filter Circuits and Design, Exercises of Electrical Engineering

The Catholic University of America (CUA)Electrical Engineering

The Fundamental of Circuit Theory

Typology: Exercises

2019/2020

Uploaded on 01/09/2020

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EE233
Homework 6
Due: Wednesday 26 November, 2014
Problem 1
Determine what type of filter is shown in Fig. 1. Calculate the corner or cutoff frequency. Take
R = 2kΩ, L = 2H, and C = 2 µF.
Figure 1
Problem 2
1. In the circuit below, R = 2 Ω, L = 1 mH, and C = 0.4 µF.
a. Find the resonant frequency and the half-power frequencies.
b. Calculate the quality factor and bandwidth.
c. Determine the amplitude of current at
ω
0
,ω
1
, and
ω2
.
2. In the parallel RLC circuit below, let R = 8 kΩ, L = 0.2 mH, and C = 8 µF.
a. Calculate
ω
0
, Q and
β
.
b. Find
ω
1
and
ω2
pf2

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EE

Homework 6

Due: Wednesday 26 November, 2014

Problem 1 Determine what type of filter is shown in Fig. 1. Calculate the corner or cutoff frequency. Take R = 2kΩ, L = 2H, and C = 2 μF. Figure 1 Problem 2

  1. In the circuit below, R = 2 Ω, L = 1 mH, and C = 0.4 μF. a. Find the resonant frequency and the half-power frequencies. b. Calculate the quality factor and bandwidth. c. Determine the amplitude of current at ω 0 ,ω 1 , and ω 2.
  2. In the parallel RLC circuit below, let R = 8 kΩ, L = 0.2 mH, and C = 8 μF. a. Calculate ω 0 , Q and β. b. Find ω 1 and ω 2

Problem 3 A filter is constructed using the circuit as the Fig. 3. a. Find the transfer function H(s) in term of R1, R2, C1, C2. b. What type of filter is it? Figure 3 Problem 4 Design a bandpass filter in the form of the figure below to pass frequencies between 250 Hz and 3000 Hz and with K = 10. Select R = 20 kΩ. Problem 5 a. Using 1kΩ resistors and ideal op amps, design a low-pass unity-gain Butterworth filter that has a cutoff frequency of 2 kHz and is down at least 30 dB at 7 kHz. b. Draw a circuit diagram of the filter and label all the components.