Difference between revisions of "Lab 5 TF EIM"

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=The LC cicuit=
 
=The LC cicuit=
 
[[File:TF_EIM_Lab5_LC.png| 200 px]]
 
[[File:TF_EIM_Lab5_LC.png| 200 px]]
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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>.
+
#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)
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#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (25 pnts)
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#Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke <math>R_{L}</math>. (20 pnts)
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#Compare the measured and theoretical values of the resonance frequency (<math>\omega_{L}</math>) (10 pnts)
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#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} = 2 \pi \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}}</math> value for each case; <math>W = \frac{1}{2}LI^2</math>. (10 pnts)
 
  
 
==Questions==
 
==Questions==
  
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#If r=0, show that <math>Q = \frac{1}{\omega_0 R_L C}</math>. (10 pnts)
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#What is the bandwidth of the above circuit? (5 pnts)
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#Show that at resonance<math> Z_{AB} \approx Q \omega_0 L</math>. (10 pnts)
 
  
 
=The RLC cicuit=
 
=The RLC cicuit=
 
[[File:TF_EIM_Lab5_RLC.png| 200 px]]
 
[[File:TF_EIM_Lab5_RLC.png| 200 px]]
 
#Design and construct a '''series''' LRC circuit.
 
#Design and construct a '''series''' LRC circuit.
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#Measure and Graph the Gain as a function of the oscillating input voltage frequency. (20 pnts)
+
#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==
 
==Questions==
 
#What is the current <math>I</math> at resonance? (5 pnts)
 
#What is the current <math>I</math> at resonance? (5 pnts)

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

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