Day Eighteen - RLC Circuit Response 5/9/2017

Hey guys, today we talked about Schmitt Trigger, which can be used to filter out the noisy input signals by simply giving two threshold voltage.
Here is the schematic of the simple Schmitt Trigger circuit:

In practice, the real Schmitt Trigger will look like this:

Then, we had a review on the RLC circuit. And a practice problem is shown below.

 

Lab
PreLab  

Using this differential equation, we can find the damping ration and natural frequency of this circuit.

 Our calculated damping ratio is 1563.8 and natural frequency is 10105.8Hz

This is how we implement the circuit.

Our estimated damping ratio from the graph is 0.25, rise time is 2.15*10^-4, DC gain is 8.

Summary:
Today's lab gives us an idea that not all RLC circuit will be put in series or parallel; therefore, we have to derive differential equation from the circuit instead. By using the differential equation, we will still be able to calculate the damping ratio, frequency, etc.