Lab: Inverting Differentiator(april 25, 2017)

Date: April 25, 2017

Singularity Functions; Inverting Differentiator;

Activity 1: Singularity Functions

In this activity we were tasked with finding the derivative of sinusoidal graph, square graph, and triangular graph.

The above picture shows our attempt to get the derivatives of each. The triangular wave graph is the only one that is not correct.

Lab 1: Inverting Differentiator

Pre-lab:

In the above picture we determined the Vo as a function of Vin and we graphed what they would look like on the same tie variable.

Next, We were given our R to be 680ohms and C to be 1 micro F. Using these numbers, we determined that the optimal frequency to run this circuit would be at 234Hz.

This is a picture of our circuit.

This is the Vo and Vin if we run our circuit at the optimal frequency of 234Hz.

The table above shows the results of each frequency and gives the theoretical values and the measured values along with the percent error between the two. Any differences between the experimental and theoretical is due to the capacitor values and resistor values used. Theoretically we use whole numbers; the experimental values are not ideal therefore do not give the precision required to achieve theoretical values.

In conclusion:

We were able to see how the voltage in graph is related to the voltage out graph. We noticed that the Vo was the derivative of the Vin; this is further proven by the results of the inverting differentiator lab.