Difference between revisions of "Lab 2 RS"

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-;RC Low-pass filter
-= 1-50 kHz filter (20 pnts)=
-.) Design a low-pass RC filter with a break point between 1-50 kHz.  The break point is the frequency at which the filter starts to attenuate the AC signal.  For a Low pass filter, AC signals with a frequency above 1-50 kHz will start to be attenuated (not passed).
-.)Now construct the circuit using a non-polar capacitor.
-[[File:TF_EIM_Lab3.png | 400 px]]
-.)use a sinusoidal variable frequency oscillator to provide an input voltage to your filter.
-.)Measure the input <math>(V_{in})</math> and output <math>(V_{out})</math> voltages for at least 8 different frequencies<math> (\nu)</math>  which span the frequency range from 1 Hz to 1 MHz.
-{| border="3"  cellpadding="20" cellspacing="0"
-|<math>\nu</math> ||<math>V_{in}</math> || <math>V_{out}</math> || <math>\frac{V_{out}}{V_{in}}</math>
-|-
-| Hz || Volts || Volts ||
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-.) Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math>
-=phase shift (10 pnts)=
-#measure the phase shift between <math>V_{in}</math> and <math>V_{out}</math> as a function of frequency <math>\nu</math>.  Hint: you could use<math> V_{in}</math> as an external trigger and measure the time until <math>V_{out}</math> reaches a max on the scope <math>(\sin(\omega t + \phi) = \sin\left ( \omega\left [t + \frac{\phi}{\omega}\right]\right )= \sin\left ( \omega\left [t + \delta t \right] \right ))</math>.
-=Questions=
-#compare the theoretical and experimentally measured break frequencies. (5 pnts)
-#Calculate and expression for <math>\frac{V_{out}}{ V_{in}}</math> as a function of <math>\nu</math>, <math>R</math>, and <math>C</math>.  The Gain is defined as the ratio of <math>V_{out}</math> to <math>V_{in}</math>.(5 pnts)
-#Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. Put the current <math>I</math> along the real voltage axis. (30 pnts)
-#Compare the theoretical and experimental value for the phase shift <math>\theta</math>. (5 pnts)
-# what is the phase shift <math>\theta</math> for a DC input and a very-high frequency input?(5 pnts)
-# calculate and expression for the phase shift <math>\theta</math> as a function of <math>\nu</math>, <math>R</math>, <math>C</math> and graph <math>\theta</math> -vs <math>\nu</math>. (20 pnts)
-[[Forest_Electronic_Instrumentation_and_Measurement]]

Difference between revisions of "Lab 2 RS"

Latest revision as of 06:27, 23 January 2011

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