Difference between revisions of "Lab 5 TF EIM"
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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>. | #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 | #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 <math>\equiv \frac{V_{out}}{V_{in}}</math> as a function of frequency. (10 pnts) |
| − | #Measure the Gain when | + | #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 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>. | + | #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== | ||
| + | |||
| + | #If r=0, show that <math>Q = \frac{1}{\omgea_0 R_L C}</math>. (10 pnts) | ||
| + | #Show that at resonance<math> Z_{AB} \approx Q \omega_0 L</math>. (10 pnts) | ||
=The LRC cicuit= | =The LRC cicuit= | ||
Revision as of 19:57, 24 October 2010
LC Resonance circuits
The LC cicuit
- Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use = 10 - 100 .
- Construct the LC circuit using a non-polar capacitor
- Measure the Gain as a function of frequency. (10 pnts)
- Measure the Gain when an external resistance approximately equals to the inherent resistance of the rf choke . (10 pnts)
- Compare the measured and theoretical values from the resonance frequency () and the Quality factor value for each case; . (10 pnts)
Questions
- If r=0, show that . (10 pnts)
- Show that at resonance. (10 pnts)