Laboratory Manual - King Fahd University of Petroleum and Minerals
Laboratory Manual - King Fahd University of Petroleum and Minerals
Laboratory Manual - King Fahd University of Petroleum and Minerals
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KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS<br />
DEPARTMENT OF ELECTRICAL ENGINEERING<br />
Electronic Circuits II – EE303<br />
Experiment # 6<br />
Various types <strong>of</strong> first-order active filters <strong>and</strong> their<br />
applications<br />
OBJECTIVE<br />
1. To design various type <strong>of</strong> first-order filters.<br />
2. To measure the characteristics <strong>of</strong> these filters.<br />
3. To see the high frequency limitation due to op amp limited b<strong>and</strong>width.<br />
4. To cascade first-order sections to design new functions.<br />
BACKGROUND<br />
High order-filters can be realized by cascading first <strong>and</strong> second order sections. These<br />
filters can be implemented by passive RC or LC circuit. However, using active-RC filters<br />
based on op amps provides several advantages: gain which can be set to a desired value,<br />
independent <strong>of</strong> some <strong>of</strong> the filter parameters without affecting others <strong>and</strong> the output<br />
impedance is very low (ideally zero) allowing cascading. Figure 1 gives summary <strong>of</strong><br />
various types <strong>of</strong> first order filters including the transfer functions, bode plots <strong>and</strong> op amp<br />
based circuit realizations.<br />
Type T(s) Bode plot Circuit<br />
Low-pass<br />
o<br />
filter Ts ()<br />
a<br />
a<br />
20 log| o<br />
w |<br />
o<br />
|T| dB<br />
20 dB<br />
decade<br />
s wo<br />
0 w o w [log]<br />
R 2<br />
R<br />
C<br />
1<br />
+<br />
V i +<br />
<br />
V o<br />
CR <br />
2 = 1 w o<br />
R 2<br />
DC gain = <br />
R1<br />
High-pass<br />
filter<br />
Ts ()<br />
as<br />
1<br />
s w<br />
o<br />
20 log|a 1 |<br />
|T| dB<br />
20 dB<br />
decade<br />
<br />
0 w o w [log]<br />
+<br />
V i<br />
<br />
C<br />
R 1<br />
R 2<br />
+<br />
V o<br />
<br />
CR 1 = 1 w o<br />
R 2<br />
High-frequency gain = <br />
R 1<br />
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