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. (10 pnts)
+
#Measure the Gain <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (25 pnts)
−
#Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke <math>R_{L}</math>. (10 pnts)
+
#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} = 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==
  
−
#If r=0, show that <math>Q = \frac{1}{\omgea_0 R_L C}</math>. (10 pnts)
+
#What is the bandwidth of the above circuit? (5 pnts)
−
#Show that at resonance<math> Z_{AB} \approx Q \omega_0 L</math>. (10 pnts)
 
  
−
=The LRC cicuit=
+
=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 L = 10 - 100 μH, R = 1k Ω .
  2. Construct the LC circuit using a non-polar capacitor
  3. Measure the Gain ≡VoutVin as a function of frequency. (25 pnts)
  4. Compare the measured and theoretical values of the resonance frequency (ωL) (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 I at resonance? (5 pnts)
  2. What is the current as ν→∞? (5 pnts)


Forest_Electronic_Instrumentation_and_Measurement

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