Lab 4 TF EIM: Difference between revisions
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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 . | 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 . | ||
[[File:TF_EIM_Lab4.png | 400 px]] | |||
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. | 4.)Measure the input and output voltages for at least 8 different frequencies which span the frequency range from 1 Hz to 1 MHz. | ||
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#Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math> | # | ||
5.)Graph the <math>\log \left(\frac{V_{out}}{V_{in}} \right)</math> -vs- <math>\log (\nu)</math> | |||
=phase shift (10 pnts)= | =phase shift (10 pnts)= | ||
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#compare the theoretical and experimentally measured break frequencies. (5 pnts) | #compare the theoretical and experimentally measured break frequencies. (5 pnts) | ||
#Calculate | #Calculate an 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) | ||
#Compare the theoretical and experimental value for the phase shift <math>\theta</math>. (5 pnts) | #Compare the theoretical and experimental value for the phase shift <math>\theta</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> | #Sketch the phasor diagram for <math>V_{in}</math>,<math> V_{out}</math>, <math>V_{R}</math>, and <math>V_{C}</math>. (30 pnts) | ||
# what is the phase shift <math>\theta</math> for a DC input and a very-high frequency input?(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) | # 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) | ||
Latest revision as of 20:02, 29 January 2015
- 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]\displaystyle{ \nu }[/math] | [math]\displaystyle{ V_{in} }[/math] | [math]\displaystyle{ V_{out} }[/math] | [math]\displaystyle{ \frac{V_{out}}{V_{in}} }[/math] |
| Hz | Volts | Volts | |
5.)Graph the [math]\displaystyle{ \log \left(\frac{V_{out}}{V_{in}} \right) }[/math] -vs- [math]\displaystyle{ \log (\nu) }[/math]
phase shift (10 pnts)
- measure the phase shift between [math]\displaystyle{ V_{in} }[/math] and [math]\displaystyle{ V_{out} }[/math]
Questions
- compare the theoretical and experimentally measured break frequencies. (5 pnts)
- Calculate an expression for [math]\displaystyle{ \frac{V_{out}}{ V_{in}} }[/math] as a function of [math]\displaystyle{ \nu }[/math], [math]\displaystyle{ R }[/math], and [math]\displaystyle{ C }[/math].(5 pnts)
- Compare the theoretical and experimental value for the phase shift [math]\displaystyle{ \theta }[/math]. (5 pnts)
- Sketch the phasor diagram for [math]\displaystyle{ V_{in} }[/math],[math]\displaystyle{ V_{out} }[/math], [math]\displaystyle{ V_{R} }[/math], and [math]\displaystyle{ V_{C} }[/math]. (30 pnts)
- what is the phase shift [math]\displaystyle{ \theta }[/math] for a DC input and a very-high frequency input?(5 pnts)
- calculate and expression for the phase shift [math]\displaystyle{ \theta }[/math] as a function of [math]\displaystyle{ \nu }[/math], [math]\displaystyle{ R }[/math], [math]\displaystyle{ C }[/math] and graph [math]\displaystyle{ \theta }[/math] -vs [math]\displaystyle{ \nu }[/math]. (20 pnts)