Lab 5 RS

LC Resonance circuits

The LC circuit

Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use = 10 - 100 , R = 1k

I choose the following values for and :

So the resonance frequency is

And

Compare the measured and theoretical values of the resonance frequency () (10 pnts)

Let's plot the data from table above:

And let's zoom the graph above at resonance frequency:

So the experimentally measured resonance frequency is:

And the predicted value of resonance frequency is:

The error is:

The error is small so I was lucky

Question. What is the bandwidth of the above circuit? (5 pnts)

From the plot above we have

The bandwidth defined as the width from to where the amplitude of signal drop down to .

At this point . Let's plot this line and calculate the bandwidth.

So the bandwidth of the above circuit is

The RLC cicuit

Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)

In the table below are my measurements for voltage gain and phase shift:
And let's graph the gain as a function of the input voltage frequency:

Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 pnts)

My phase shift measurements presented in the table above. And let's graph the phase shift as a function of the input voltage frequency: