DAY7 3/15 Superposition and Source Transformation

Lab1: Time-varying Signals

Purpose: We need to get familiar of suing wave form generator to generate time varying signals and use oscilloscope to measure it.

In this photo, it is the graph we need to connect and measure. We choose R1=R2=1000ohm.

Pre-lab question:

In this photo, we draw graphs of sinusoidal, triangular and square wave with amplitude A and period T

In this photo, we measure the true value of these two resistors and compare with theo values.

 In these two photos, we uses input voltage 5 Vwith 2kHz frequency. Here is the set up and we measuere the Vout=2.5V

In this photo,it is the graph of sin wave.  As the picture shows,the frequency and period are its original value but the amplitude become half 

 In this photo,it is the graph of  triangular  wave.  As the picture shows,the frequency and period are its original value but the amplitude become half

In this photo, it is the graph of square wave.  The frequency and period are its original value. The amplitude become half. 

Next,we learn about Linearity Property

In this photo, we use mesh circult to find I0=0.316A

 In the next, we learn about superpostion.

In this photo, we did an example about superposition and check it with nodal analysis.

 LAB2 : Superposition 

Purpose: Learn how to analy build and tese a circuit containing multiple sources. Use circuit reduction techniques in conjunction with superpostion to determine the response of a circuit with multiple sources.

Pre-lab Question:

In this photo, we first with the 3V source replaced with a short circuit and find the V= 0.71V and then we with the 5V source replaced with a short circuit and find the V=2V, so the total V=2.71V

In this photo, we measure the 5 different resistors and compare with their theo values.

In this photo, we set up the circult and measure that the V=2.71, which is same with what we calculate.

In this photo, we make a table, it is the measured voltage V due to the 5V source alone.  The expected value of the voltage due to the 5V source.  The measured voltage V due to the 3V source alone. The expected value of the voltage due to the 3V source. The measured voltage V due to both sources. The expected value of the voltage due to both sources from your pre-lab

Then we learn about Source Transformation

In this photo, we use the soure transformation to use current in the end find the I0=2.9A

But in this photo, professor use the voltage in the end and fing the I=1/9 A

Summary:

Today, we first did the lab of Time-varying signals and know the different of the graph sina, tranigal and square.Then we learn about Linearity Property and superpostion. And we did another lab about superposition. In the end of the class, we learn soure transformation.