Lab 5 RS

Go Back to All Lab Reports

LC Resonance circuits

The LC cicuit

Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use $L$ = 10 - 100 $\mu H$.

$\omega_0=\frac{1}{\sqrt{\mbox{LC}}}$

I choose the following values for $\mbox{R}$ and $\mbox{C}$:

$R=aaa\ \Omega$

$C=bbb\ \mu F$

So the resonance frequency is $\omega_0=\frac{1}{\sqrt{aaa\ \Omega\ bbb\ \mu F }} = ccc\ \frac{\mbox{rad}}{\mbox{sec}}$

Or $f=\frac{\omega_0}{2\pi} = ddd\ \mbox{kHz}$

Questions

1. If r=0, show that $Q = \frac{1}{\omega_0 R_L C}$. (10 pnts)
2. Show that at resonance$Z_{AB} \approx Q \omega_0 L$. (10 pnts)

The LRC cicuit

1. Design and construct a series LRC circuit.
2. Measure and Graph the Gain as a function of the oscillating input voltage frequency. (20 pnts)

Questions

1. What is the current $I$ at resonance? (5 pnts)
2. What is the current as $\nu \rightarrow \infty$? (5 pnts)

Forest_Electronic_Instrumentation_and_Measurement

Go Back to All Lab Reports