Revision as of 20:02, 24 October 2010

LC Resonance circuits

The LC cicuit

Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use $L$ = 10 - 100 $\mu H$ .
Construct the LC circuit using a non-polar capacitor
Measure the Gain $\equiv \frac{V_{out}}{V_{in}}$ as a function of frequency. (20 pnts)
Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke $R_{L}$ . (20 pnts)
Compare the measured and theoretical values from the resonance frequency ( $\omega_{L}$ ) and the Quality factor $Q \equiv 2 \pi \frac{W_S}{W_L} = 2 \pi \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}}$ value for each case; $W = \frac{1}{2}Li^2$ . (10 pnts)

Design and construct an LRC circuit.
Measure and Graph the Gain as a function of the oscillating input voltage frequency. (20 pnts)

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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>.
 #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. (20 pnts)
-#Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke <math>R_{L}</math>. (10 pnts)
+#Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke <math>R_{L}</math>. (20 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)