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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.
#Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\muH</math>.
#Construct the LC circuit using a non-polar capacitor
#Construct the LC circuit using a non-polar capacitor
#Measure <math>\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.
#Measure the ratio when you insert an external resistance approximately equal to the inherent resistance of the rf choke <math>R_{L}</math>.
#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 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.


=The LRC cicuit=
=The LRC cicuit=

Revision as of 19:41, 24 October 2010

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{ \muH }[/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.
  4. Measure the Gain when you insert an external resistance approximately equal to the inherent resistance of the rf choke [math]\displaystyle{ R_{L} }[/math].
  5. Compare the measured and theoretical values from the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) and the Quality factor [math]\displaystyle{ Q\equiv 2 \pi \frac{W_S}{W_L}= \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}}} }[/math] value for each case.

The LRC cicuit

Forest_Electronic_Instrumentation_and_Measurement