TF EIMLab4 Writeup

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RC High-pass filter

1-50 kHz filter (20 pnts)

< font size = 24>Design </font size>
Design 

1.) < font size = 24>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 .

TF EIM Lab4.png

ωbreak=1RC
R=1ωbreakC=125×103×9.45×109=4,233Ω
R C ωB νB
Ohms Farads rad/s Hz
10.5 1.25×106 76190 92
167600Ω 10.3×109 579 12,126


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.

ν Vin Vout VoutVin
Hz Volts Volts

5.)Graph the log(VoutVin) -vs- log(ν)

phase shift (10 pnts)

  1. measure the phase shift between Vin and Vout

Questions

  1. compare the theoretical and experimentally measured break frequencies. (5 pnts)
  2. Calculate an expression for VoutVin as a function of ν, R, and C.(5 pnts)
  3. Compare the theoretical and experimental value for the phase shift θ. (5 pnts)
  4. Sketch the phasor diagram for Vin,Vout, VR, and VC. Put the current i along the real voltage axis. (30 pnts)
  5. what is the phase shift θ for a DC input and a very-high frequency input?(5 pnts)
  6. calculate and expression for the phase shift θ as a function of ν, R, C and graph θ -vs ν. (20 pnts)


Forest_Electronic_Instrumentation_and_Measurement