Lab 5 TF EIM: Difference between revisions

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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}{\omega_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 an LRC circuit.
#Design and construct a '''series''' LRC circuit.
#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? (10 pnts)
#What is the current <math>I</math> at resonance? (5 pnts)
#What is the current as <math>\nu \rightarrow \infty</math>? (10 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

  1. Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use [math]\displaystyle{ L }[/math] = 10 - 100 [math]\displaystyle{ \mu H }[/math], R = 1k [math]\displaystyle{ \Omega }[/math] .
  2. Construct the LC circuit using a non-polar capacitor
  3. Measure the Gain [math]\displaystyle{ \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]\displaystyle{ \omega_{L} }[/math]) (10 pnts)

Questions

  1. What is the bandwidth of the above circuit? (5 pnts)

The RLC cicuit

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


Forest_Electronic_Instrumentation_and_Measurement

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