Lab 5 TF EIM

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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{ \mu H }[/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} = 2 \pi \frac{\mbox{Energy Stored}}{\mbox{Energy Lost}} }[/math] value for each case; [math]\displaystyle{ W = \frac{1}{2}Li^2 }[/math].

The LRC cicuit

Forest_Electronic_Instrumentation_and_Measurement