Lab 5 RS
- LC Resonance circuits
The LC cicuit
==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{R} }[/math] and [math]\displaystyle{ \mbox{C} }[/math]:
- [math]\displaystyle{ R=aaa\ \Omega }[/math]
- [math]\displaystyle{ C=bbb\ \mu F }[/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:
Construct the LC circuit using a non-polar capacitor
Measure the Gain [math]\displaystyle{ \equiv \frac{V_{out}}{V_{in}} }[/math] as a function of frequency. (25 pnts)
#Compare the measured and theoretical values of the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) (10 pnts)
Questions
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
