Lab 5 RS

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LC Resonance circuits

The LC circuit

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], R = 1k [math]\displaystyle{ \Omega }[/math]

[math]\displaystyle{ \omega_0=\frac{1}{\sqrt{\mbox{LC}}} }[/math]

I choose the following values for [math]\displaystyle{ \mbox{L} }[/math] and [math]\displaystyle{ \mbox{C} }[/math]:

[math]\displaystyle{ L=33\ \mu H }[/math]

[math]\displaystyle{ C=1.024\ \mu F }[/math]

[math]\displaystyle{ R=0.989\ k \Omega }[/math]

So the resonance frequency is [math]\displaystyle{ \omega_0=\frac{1}{\sqrt{aaa\ \Omega\ bbb\ \mu F }} = ccc\ \frac{\mbox{rad}}{\mbox{sec}} }[/math]

Or [math]\displaystyle{ f=\frac{\omega_0}{2\pi} = ddd\ \mbox{kHz} }[/math]

Let's estimate:

Questions

1.Is there a value of [math]\displaystyle{ R }[/math] in which [math]\displaystyle{ V_{out} \approx V_{in} }[/math] at resonance. What is the value?(5 pnts)

The RLC cicuit

Questions

What is the current as [math]\displaystyle{ \nu \rightarrow \infty }[/math]? (5 pnts)

Forest_Electronic_Instrumentation_and_Measurement

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