Posts tagged UC Davis
Thevenin and Norton Circuits for Independent Sources

Thevenin and Norton Equivalent circuits are most often used to simplify a circuit.  They are useful when you are interested about the behavior of an element connected to a rather complicated system through terminals a and b (this scenario is addressed in part c of the question).

Shayan R.
Breathing Mechanics

Have you ever taken manual control of your breathing and had the hardest time trying to get your body to breathe on it’s own again? Did you do it right now? If you did, you’re in luck because we’re going to be going over breathing mechanics and manually controlling your breathing is going to be super helpful in setting up the foundation for understanding this phenomenon.

First thing to address is what is D.C. Steady State. Basically, all that means is that the circuit has been active/running for a long time. For power dissipating elements like resistors, this doesn’t mean much, but for energy storing elements such as inductors and capacitors it changes how they behave.

Shayan R.
Recursion

Recursion occurs when a function calls itself. Recursion is useful when dealing with problems that have recursive properties. Consider a function factorial(n) that returns the factorial of n. This function can be defined recursively because factorial(5) = 5 * factorial(4) = 5 * 4 * factorial(3) and so on.

Eunsub L.
Floating Point Numbers

Floating point numbers are used to represent real numbers in computers. Because real numbers can have many digits, we use scientific notation to represent them in binary.

Eunsub L.
Stacks and Queues

Stack is a data structure that follows the property of First In Last Out (FILO). So the first element inserted into a stack will be the last element deleted from the stack. You can think of a stack as a stack of dishes. The first dish that goes into the stack will be the last one to be used.

Eunsub L.
Generate Parentheses Problem

The problem is: Given N pairs of parentheses, write a function to generate all combinations of well-formed parentheses. The naive solution is to generate all combinations of N pairs of parentheses, then checking if each one is valid.

Eunsub L.
Makefile

Now, if you change main.c, factorial.c, or factorial.h, you would need to re-compile those files manually. This is a cumbersome process, especially when the number of files is big. The solution is to automate the compilation process by using Makefile.

Eunsub L.
Phase Diagrams and Lever Rule

At first glance, there seems to be a lot going on in a two-phase diagram. There are temperatures, percentages, different elements, and symbols you’re not used to seeing. But once you understand what you’re looking for, everything makes sense.

Justin H.
Exponential Fourier Series

Compute the complex exponential fourier series coefficient for… So what is an exponential Fourier series, and why do we use it? The Fourier series is a way to change a signal x(t) from the time domain to the frequency domain X(w)--where w stands for omega--using an infinite series as an approximation.

Shayan R.
Convolution Integral

Calculate the output of this system given that the input signal and the system’s impulse response are… One thing that should be addressed before we start the problem is what is u(t). u(t) is the step function, or Heaviside step function. It stands for…

Shayan R.
Phasors and the Unit Circle

Today we’re going to confront a simple lie you learned in high school, and replace it with something more complicated.  The topic today is the unit circle. Personally, I don’t see that many uses for the unit circle, aside from teaching students how to deal with trig identities and right triangles.  But the unit circle become much more interesting when you use it to describe imaginary numbers.

Jonathan B.
Single Ideal Op Amp Circuit

Before we start the problem, we should go over a couple things about op amps that’ll help us solve the problem and check our work. For one, notice how the resistor for Vo is connected to the negative terminal of the op amp (not directly, as it goes through the 63 k-ohm resistor, but you could draw a line between Vo and the negative terminal without making a new wire). This means that the op amp is undergoing negative feedback (NFB).

Shayan R.
Volume of a Solid of Known Cross Section

Since we have been given both boundaries for a base and the general shape of the cross sections, we will be using the method of: “volume of a solid with known cross section”. The best way to tackle these types of problems, or at least the way that has helped me the most, is to first draw what the problem is talking about.

Shayan R.
Mesh Analysis with Supermesh

The first thing you should notice about this circuit is that there are two different types of sources: a dependent source (the arrow in the diamond), and an independent source (the arrow in the circle). Independent sources are independent of the circuit--so that source will always push 15 A of current into the circuit, regardless of the circuit elements.