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).

Read MoreHave 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.

Read MoreAssume V_s(t) is equal to 3u(t). Find v(t) as a function of time and find the capacitances of the two capacitors. Assume all initial conditions are 0.

Read MoreFirst 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.

Read MoreRecursion 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.

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.

Read MoreStack is a data structure that follows the property of **F**irst **I**n **L**ast **O**ut (**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.

A lot of people seem to freak out when they see an *i* in math or *j* in electrical engineering. So hopefully this will help. The first thing we want to go over is what *i* and *j* even are.

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.

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.

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.

Read More**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.

**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…

It’s Quiz Time! Close your notes, clear your desks, and answer the following question: *What does the following graph depict? *A friend of mine said: “it’s an exothermic reaction!” And to that, I said, “Incorrect!”.

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.

Read MoreBefore 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).

Read MoreSince 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.

Read MoreThe 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.

Read MoreWhen I first heard about a calorimeter, I had no idea what it was or what relevance it would have to me and my major. Before I delve into the relevance of calorimetry though, let’s first talk about what it is. Calorimetry is the science of measuring the amount of heat transferred to or from a substance in a reaction by using a calorimeter to measure the heat exchanged with the surroundings.

Read MoreGauss’s Law is a useful tool for solving electrostatics problems. Instead of computing hard nasty integrals, we can use Gauss’s Law to simplify the computation for nice symmetric cases. The superposition principle claims that, in a linear system, the net response of two or more stimuli is the sum of the responses from those stimuli individually.

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