BME 153 lab 6 Passive Filters _Nigel

BME 153 lab 6 Passive Filters _Nigel - BME 153 Lab 6 Lab 6...

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BME 153 Lab 6 Lab 6 – Passive Filters Nigel Chou Shijie Lab Partner: Tim Liu Section 1 October 31, 2007 I have adhered to the Duke Community Standard in completing this assignment. Objectives The objective of this lab is to build a high-pass filter, a low-pass filter (both first order) and a second order notch filter. We will then analyse them, first by finding the cutoff frequency (high-pass and low-pass) or resonant frequency (notch) and plotting the magnitude and phase of their transfer function over a range of frequencies. Finally, we will learn to use Multisim to simulate a passive filter and generate a Bode plot. Apparatus LCR Meter Fluke 45 Dual Display Digital Multimeter (DMM) Tektronic TDS 1012 Digital Storage Oscilloscope TGS 50 Signal generator Resistors, capacitor and inductor Procedure The procedure listed in the lab manual was followed with no deviation. The cut-off frequency was obtained by dividing V pk-pk of V out by V pk-pk of V in as the frequency was varied until this value was approximately 1/ 2 or 0.7071. Data and Calculations The phase shifts of the voltages are calculated by: f t × × = π 2 shift) (time shift Phase e.g. rad 524 . 1 s 3 . 173 rad 2 ) s 10 1400 ( ) Hz 3 . 173 shift( Phase 1 6 = × × × = - - For the magnitude vs. frequency graph of the bode plot, the magnitude in dB is calculated according to = in out V V log 20 | ) ( | dB f H e.g. = 10.1 0.400 log 20 3 . 173 | ) ( | Hz for f H dB High pass filter (Figure 3) As calculated in the prelab, the transfer function for Figure 3 is: × - - × + = × + = + = - - - ) 10 075 . 33 ( 1 arctan ) 10 09396 . 1 ( 1 1 1 ) 10 075 . 33 ( 1 1 1 1 1 1 ) ( 6 2 9 6 ϖ j RC j f H × - - × + = - - ) 10 075 . 33 ( 2 1 arctan ) 2 )( 10 09396 . 1 ( 1 1 1 6 2 9 f f Its cutoff frequency, obtained by setting the magnitude of H(f) = 1/ 2 and solving for ϖ , is given by 1
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BME 153 Lab 6 Hz 9 . 4811 rad 30234 10 075 . 33 1 1 ) ( 6 = = × = = - RC f H Low pass filter (Figure 5) As calculated in the prelab, the transfer function for Figure 3 is: ( 29 ϖ 5 2 10 5 10 4664 . 1 arctan ) 10 1503 . 2 ( 1 1 ) 10 4664 . 1 ( 1 1 1 1 ) ( - - - × - × + = × + = + = j R L j f H ( 29 f f ) 2 ( 10 4664 . 1 arctan ) 2 )( 10 1503 . 2 ( 1 1 5 2 10 π - - × - - × + = Its cutoff frequency, obtained by setting the magnitude of H(f) = 1/ 2 and solving for ϖ , is given by z L R f H H 10853 rad 68195 0482 . 0 3287
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This lab report was uploaded on 04/09/2008 for the course BME 153 taught by Professor Malkin during the Fall '07 term at Duke.

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BME 153 lab 6 Passive Filters _Nigel - BME 153 Lab 6 Lab 6...

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