Revision as of 19:43, 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.
Measure the Gain when you insert an external resistance approximately equal to the inherent resistance of the rf choke $R_{L}$ .
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; $W = \frac{1}{2}Li^2$ .

@@ Line 5: / Line 5: @@
 #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; <math>W = \frac{1}{2}Li^2</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} = 2 \pi \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}}</math> value for each case; <math>W = \frac{1}{2}Li^2</math>.
 =The LRC cicuit=