Difference between revisions of "Lab 3 TF EIM"

From New IAC Wiki
Jump to navigation Jump to search
Line 12: Line 12:
  
 
=Questions=
 
=Questions=
 +
 +
#compare the theoretical and experimentally measured break frequencies.
 +
#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>.
 +
#Compare the theoretical and experimental value for the phase shift <math>\theta</math>.
 +
#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.

Revision as of 17:58, 24 October 2010

RC Low-pass filter

1-50 kHz filter

  1. 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).
  2. Now construct the circuit using a non-polar capacitor.
  3. use a sinusoidal variable frequency oscillator to provide an input voltage to your filter.
  4. Measure the input and output voltages for at least 8 different frequencies which span the frequency range from 1 Hz to 1 MHz.
  5. Graph the [math]\log \left(\frac{V_{out}}{V_{in}} \right)[/math] -vs- [math]\log (\nu)[/math]

phase shift

  1. measure the phase shift between [math]V_{in}[/math] and [math]V_{out}[/math]

Questions

  1. compare the theoretical and experimentally measured break frequencies.
  2. 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].
  3. Compare the theoretical and experimental value for the phase shift [math]\theta[/math].
  4. 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.