May 28. Signal with Multiple Frequency Component

Today we thought about what happens to circuit elements as the frequency increases and we got the following relationships. And we did a lab to visualize the frequency depend behaviors. 

The graphs show what happens to the impedance of those circuit elements as the frequency is increased.

Lab, 

following is schematic we used in today's lab

actual circuit 

For Part A of the experiment, we designed a custom signal whose equation is 

Following is the wave function we created. 

Following is a picture of what the signals on the circuit look like. 

Following is a picture of sweep wave in screen. As we can see, the gain in the output signal decreases as the frequency increases. Interestingly, it does so by forming a figure similar to a curvy cone. 

The input voltage is a sinusoidal sweep from 100Hz to 10 Khz in 20 msec:

Summary:
Today, we learn about frequency response. The frequency response of a circuit is determined by the variation in its behavior with change in signal frequency. The frequency depend behavior is quite complex when it comes to real circuit. As the experiment we did, the result is really hard to express and calculated mathimatically, We need learn much more in the future.