19.12.2013 Views

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

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 />

52

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!