4/25 Inverting Differentiator

Today, we introduced an integrator which is an op amp circuit whose output is proportional to the integral of the input signal, and a differentiator which is an op amp circuit whose output is proportional to the rate of change of the input signal.
We derived a equation for the integrator.

Different input voltage will have different output voltage.

Then, we talked about the switching function including step function, impulse function, and ramp function.
The unit step function u(t) is 0 for negative values of t and 1 for positive values of t.


Next, we did lab.

Inverting Differentiator
Pre-lab

The frequency should be 234Hz to get a gain of -1.
The actual resistor we used is 665ohms.

Apply a sinusoidal input voltage with frequency = 100Hz, amplitude = 1V, and offset = 0V to the circuit of Figure 1.

Apply a sinusoidal input voltage with frequency = 250Hz, amplitude = 1V, and offset = 0V to the circuit of Figure 1.

Apply a sinusoidal input voltage with frequency = 500Hz, amplitude = 1V, and offset = 0V to the circuit of Figure 1.

The table below is the comparison of the expected output voltage and the experimental output voltage.

Summary

We learned about integrator and differentiator, and step function, impulse function, and ramp function. By doing the lab, we can see that how differentiator work and how it affects the circuit by looking at the result of the graph and the table.