Difference between revisions of "Lab 5 TF EIM"

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#Design a '''parallel''' LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\mu H</math>, R = 1k <math>\Omega</math>.
 
#Design a '''parallel''' LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\mu H</math>, R = 1k <math>\Omega</math>.
 
#Construct the LC circuit using a non-polar capacitor
 
#Construct the LC circuit using a non-polar capacitor
−
#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (20 pnts)
+
#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency when r=0. (20 pnts)
−
#Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke <math>R_{L}</math>. (20 pnts)
+
#Measure the Gain when an external resistance (r) approximately equals to the inherent resistance of the rf choke <math>r =\approx R_{L}</math>. (20 pnts)
 
#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
 
#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
  

Revision as of 04:31, 2 February 2011

LC Resonance circuits

The LC cicuit

TF EIM Lab5 LC.png

  1. Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use [math]L[/math] = 10 - 100 [math]\mu H[/math], R = 1k [math]\Omega[/math].
  2. Construct the LC circuit using a non-polar capacitor
  3. Measure the Gain [math]\equiv \frac{V_{out}}{V_{in}}[/math] as a function of frequency when r=0. (20 pnts)
  4. Measure the Gain when an external resistance (r) approximately equals to the inherent resistance of the rf choke [math]r =\approx R_{L}[/math]. (20 pnts)
  5. Compare the measured and theoretical values of the resonance frequency ([math]\omega_{L}[/math]) (10 pnts)

Questions

  1. If r=0, show that [math]Q = \frac{1}{\omega_0 R_L C}[/math]. (10 pnts)
  2. Show that at resonance[math] Z_{AB} \approx Q \omega_0 L[/math]. (10 pnts)

The RLC cicuit

TF EIM Lab5 RLC.png

  1. Design and construct a series LRC circuit.
  2. Measure and Graph the Gain as a function of the oscillating input voltage frequency. (20 pnts)

Questions

  1. What is the current [math]I[/math] at resonance? (5 pnts)
  2. What is the current as [math]\nu \rightarrow \infty[/math]? (5 pnts)


Forest_Electronic_Instrumentation_and_Measurement

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