Thursday, February 26, 2015

02/26/15 (Week 1)

Today we covered Ohms Laws, Kirchoff's Current Law, and Kirchoff's Voltage Law. We also learned about Conductance (G) as well as MOSFET type transistors.

For our first exercise, we have a circuit created by Professor Mason. Here we are asked a couple questions to make predictions on what will occur. Our predictions ended up being incorrect.



Here we have the equation V=IR and we are asked if graph A or B is possible. We said that neither could happen since you can't have voltage without a current and via versa. This is partially true since there is an exception for a diode where there can exist a voltage without a current.


Another application of Ohms Law where we use passive sign convention to solve a basic circuit element. Now we look at which elements in the circuit absorb power as a positive number in doing calculations.


Another technique that is useful in helping to use the laws that we just learned is to break down the circuit into branches and nodes.



Dependent Sources and MOSFETs

A MOSFET transistor is like a gateway. This gateway will open (or close) only after a certain threshold of voltage is applied to it. In this case, the "gate" will only open once 1.5 volts is reached. MOSFETS are calso classified as a Voltage Controlled Current Source (VCCS).


This graph is credited to my group member Adrian. It is a plot of data of the MOSFET around the voltage in which the "gate" is opened. As expected, the opening and closing of the transistor is an exponential function. At the top of the graph we have the situation where the transistor pretty much operates like an open wire on the circuit. This means that the transistor has the same conductance then an open wire. This graph would have a better plot if we used smaller step up increments to get more data points in the middle portion of the graph.





Resistors and Ohms Law

In this experiment we are introduced to a program called Waveforms along with the Analog Discovery tool. The Analog Discovery tool allows us to provide plus or minus 5 volts to a circuit and will give us readings just like a multimeter. These readings show that the readings are very close to the calculated values.


From the above data collected we were able to create a graph to find the equation for the least-square best fit line. From the graph we get Current=0.0091Voltage - (Some initial value). This linear relationship shows that for every current in the circuit we will have 0.0091 volts.

FreeMAT Lab

Exercise 1

Math Functions
Note that sin(90) isn't zero because it's 90 radians, not 90 degrees.

Redoing Errors/Help/Assigning Expressions to Variables

Matrix/Using Colons/Transposing Arrays

Applying Functions to Row Vectors

Addressing Arrays and Matrices

Plots and Adding Additional Plots

Solving Simultaneous Equations

Plotting Exponentials



Tuesday, February 24, 2015

02/24/15 (Week 1)

Here we have a simple circuit set up with 3 light bulbs.


This is an example of a circuit diagram for the circuit we have set up above.


Here we find the relationship between charge and current in a circuit.


Taking properties we know that the change in charge is the current we can find the absolute charge in a circuit element. However, this isn't a conventional way to look at circuits.


Potential drop of (Voltage) can be related to the potential energy of a ball at height h. We say the the ball has the amount of energy equal to mgh.


And we know that potential energy can transform into kinetic energy and so forth.


We know about voltage and current, but just measuring two elements in a circuit isn't enough to break down a system into it's most basic elements. Another relationship we need to know for electrical circuits is Power.


From this we can relate current and voltage to power for further analysis.


By using Power, Voltage, and Current we can start solving for different elements in a circuit.







Bread Board Lab

Here we are testing a bread board for the resistances across certain parts of the board. 

From this we can find the relationship of the connections in the bread board.

We discover which elements are open circuits and which elements are closed circuits.
In conclusion, a bread board is a neat way to build and organize circuits.