Difference between revisions of "Lab 3 TF EIM"

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= 1-50 kHz filter (20 pnts)=
 
= 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).
 
# 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.
+
#Now construct the circuit using a non-polar capacitor.[[File:TF_EIM_Lab3.png | 400 px]]
[[File:TF_EIM_Lab3.png | 400 px]]
 
 
#use a sinusoidal variable frequency oscillator to provide an input voltage to your filter.
 
#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.
 
#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.

Revision as of 03:28, 21 January 2011

RC Low-pass filter

1-50 kHz filter (20 pnts)

  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.TF EIM Lab3.png
  3. use a sinusoidal variable frequency oscillator to provide an input voltage to your filter.
  4. 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.


[math]\nu[/math] [math]V_{in}[/math] [math]V_{out}[/math] [math]\frac{V_out}{V_in}[/math]
Hz Volts Volts
  1. Graph the [math]\log \left(\frac{V_{out}}{V_{in}} \right)[/math] -vs- [math]\log (\nu)[/math]

phase shift (10 pnts)

  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. (5 pnts)
  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]. The Gain is defined as the ratio of [math]V_{out}[/math] to [math]V_{in}[/math].(5 pnts)
  3. Compare the theoretical and experimental value for the phase shift [math]\theta[/math]. (5 pnts)
  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. (30 pnts)
  5. what is the phase shift [math]\theta[/math] for a DC input and a very-high frequency input?(5 pnts)
  6. 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