# Difference between revisions of "Lab 3 TF EIM"

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# 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]] | ||

#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. | ||

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{| border="3" cellpadding="20" cellspacing="0" | {| border="3" cellpadding="20" cellspacing="0" | ||

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#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> | ||

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=phase shift (10 pnts)= | =phase shift (10 pnts)= |

## Revision as of 03:27, 21 January 2011

- 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.

- 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.

Hz | Volts | Volts | |

- Graph the -vs-

# phase shift (10 pnts)

- measure the phase shift between and

# Questions

- compare the theoretical and experimentally measured break frequencies. (5 pnts)
- Calculate and expression for as a function of , , and . The Gain is defined as the ratio of to .(5 pnts)
- Compare the theoretical and experimental value for the phase shift . (5 pnts)
- Sketch the phasor diagram for , , , and . Put the current along the real voltage axis. (30 pnts)
- what is the phase shift for a DC input and a very-high frequency input?(5 pnts)
- calculate and expression for the phase shift as a function of , , and graph -vs . (20 pnts)