Difference between revisions of "Lab 5 TF EIM"

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LC Resonance circuits
 
LC Resonance circuits
 
=The LC cicuit=
 
=The LC cicuit=
#Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\mu H</math>.
+
[[File:TF_EIM_Lab5_LC.png| 200 px]]
 +
#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.
+
#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (25 pnts)
#Measure the Gain when you insert an external resistance approximately equal to the inherent resistance of the rf choke <math>R_{L}</math>.
+
#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
#Compare the measured and theoretical values from the resonance frequency (<math>\omega_{L}</math>) and the Quality factor <math>Q \equiv 2 \pi \frac{W_S}{W_L} = \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}}</math> value for each case; <math>W = \frac{1}{2}Li^2</math>.
 
  
=The LRC cicuit=
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==Questions==
 +
 
 +
#What is the bandwidth of the above circuit? (5 pnts)
 +
 
 +
=The RLC cicuit=
 +
[[File:TF_EIM_Lab5_RLC.png| 200 px]]
 +
#Design and construct a '''series''' LRC circuit.
 +
#Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)
 +
#Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 pnts)
 +
==Questions==
 +
#What is the current <math>I</math> at resonance? (5 pnts)
 +
#What is the current as <math>\nu \rightarrow \infty</math>? (5 pnts)
  
  
 
[[Forest_Electronic_Instrumentation_and_Measurement]]
 
[[Forest_Electronic_Instrumentation_and_Measurement]]

Latest revision as of 23:41, 3 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. (25 pnts)
  4. Compare the measured and theoretical values of the resonance frequency ([math]\omega_{L}[/math]) (10 pnts)

Questions

  1. What is the bandwidth of the above circuit? (5 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. (25 pnts)
  3. Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 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