Revision as of 19:42, 24 October 2010

LC Resonance circuits

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].
Construct the LC circuit using a non-polar capacitor
Measure the Gain as a function of frequency.
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 value for each case.

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 LC Resonance circuits
 =The LC cicuit=
-#Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz.  use <math>L</math> = 10 - 100 <math>\muH</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>.
 #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 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.
+#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=