Lab Report Day Six - Mesh Analysis III

The purpose of this lab is to use our knowledge of mesh analysis to calculate the theoretical value of the voltage across the 22k ohm resistor and the current i1 (See the following graph)

 

Here is the pre-lab of this experiment. 

 

 

We first measure the real resistance of the resistors, since they have uncertainties.

The 22k ohm resistor has a real resistance of 22k ohm, which has 0% difference. (This must be a very good resistor, the first time seeing a resistor with 0% difference)

The 1.8k ohm resistor has a real resistance of 1.7k ohm, which has 5.88% difference.

 

The 4.7k ohm resistor has a real resistance of 4.6k ohm, which has 2.13% difference.

 

The 6.8k ohm resistor has a real resistance of 6.8k ohm, which has 0% difference. (Another good resistor)

 

The summary table of the real value of the resistors.

 

Here is the set up of our breadboard.

 

This is the value we get for V1. V1=2.44V (Theoretical value: 2.464 V)

 

This is the value we get for i1. i1=-0.24 mA (Theoretical value: -0.26 mA)

 

 

 

The summary table of the real value of the resistors and the theoretical value and the experimental value of the voltage and current. We get 7.69 % difference in our i1 value, and 0.97% difference on our V1 value. 

 

Discussion: 

 

Our measured voltage is very close to our theoretical value (0.97% difference), and we have smaller but still close value for our measured current (7.69% difference.) This uncertainty could be caused by the resistor (since they do not have exact the theoretical value, as shown above). Also, the resistance of the wire could also be a cause, but in this case, even if it has resistance, it would be small compared to the resistors. Overall, we do fine on this lab. 

 

 

Summary:

In the beginning of today's class, we take a group quiz, and later on, we finish a mesh analysis lab. We successfully prove that we do fine on our prediction and calculation. We also talked about the Transistors (NPN and PNP), which we have learned some properties of in Physics 4B. Now, we can use a lot of ways to solving circuit problems.