Difference between revisions of "Lab 4 TF EIM"

From New IAC Wiki
Jump to navigation Jump to search
Line 2: Line 2:
  
 
= 1-50 kHz filter (20 pnts)=
 
= 1-50 kHz filter (20 pnts)=
# Design a high-pass RC filter with a break point between 1-50 kHz.  The break point is the frequency at which the filter's attenuation of the AC signal goes to 0(not passed).  For a High pass filter, AC signals with a frequency below the 1-50 kHz range will be attenuated .
+
1.) Design a high-pass RC filter with a break point between 1-50 kHz.  The break point is the frequency at which the filter's attenuation of the AC signal goes to 0(not passed).  For a High pass filter, AC signals with a frequency below the 1-50 kHz range will be attenuated .
#Now construct the circuit using a non-polar capacitor.
+
 
#use a sinusoidal variable frequency oscillator to provide an input voltage to your filter.
+
 
#Measure the input and output voltages for at least 8 different frequencies which span the frequency range from 1 Hz to 1 MHz.
+
 
 +
 
 +
 
 +
 
 +
 
 +
 
 +
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.
 +
 
 +
{| 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 ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|  || || ||
 +
|-
 +
|}
 +
 
 
#Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math>
 
#Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math>
  

Revision as of 20:11, 23 January 2011

RC High-pass filter

1-50 kHz filter (20 pnts)

1.) Design a high-pass RC filter with a break point between 1-50 kHz. The break point is the frequency at which the filter's attenuation of the AC signal goes to 0(not passed). For a High pass filter, AC signals with a frequency below the 1-50 kHz range will be attenuated .





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.

[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]

TF EIM Lab4.png

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].(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