Laplace transformas

Object Required

Computer

Principle

Frequency Information

Theory

Lets follow this reasoning for an LCR circuits. All we need to do is add a little resistance or friction to the mass-spring of the tank circuit. lets tighten the wheel on our box a little too much so that they rub. what will happen after you give the box a tug it will bounce back and forth a bit till it comes to a stop. the friction in the wheels slows it down this friction component is called a damper because it dampens the oscillation. What is it that a resistor does to an LC circuit the oscillation there you have it the world of electricity reduced to everyday items since these component are so similar. All the math tricks you might have leaned apply as well to one system as they do to the other. Remember Fourier’s theorems? They were discovered for mechanical systems long before anyone realized that they work for electrical circuits as well. Remember all that higher math you used to know or are just now learning about Laplace transformas integrals,derivatives, etc.?it all works the same in both worlds. You can solve a mechanical system using Laplace methods just the same as an electrical circuit. Back in the 1950s and 1960s, the government spent mounds of dough using electrical circuits to model physical systems as described before. Why? You can get into all shorts of integrals, derivatives and other ugly math when modeling real world system. All that  can get jumbled quickly after a couple of orders of complexity. Thinks about an artillery shell fired from a tank. How do you predict where it will land? You have the friction of the air, the mass of the shell, the spring of the recoil. Instead of trying to calculate all that math by hand, you can build a circuit with all the various electrical components representing the mechanical ones, hook up an oscilloscope, and fire away. If you want to test 1000 different weights of artillery at different altitudes, electrons are much cheaper than gunpowder.

I’m not sure if intuitive signal analysis is actually taught in school; this is my name for it. It is something I learned on my own in collage and the workplace. I did not call it an actual discipline until I had been working for a while and had explained my methods to fellow engineers to help them solve their own dilemmas. I do think, however, that a lot of so called bright people out there use this skill without really knowing it or putting a name to it. They seem to be able to point to something you have been working on for hours and say, “your problems is there. “They just seem to intuitively know what should happen. I believe that this is a skill that can and should be taught There are three underlying principles needed to apply intuitive signal analysis. [Let”s just call it IS. After all, if I have any hope of this catching on in the engineering world, it has to have an acronyms!]

Conclusion

You must drill the basics. For example, what happen to the impedance of a capacitor as frequency increases? It goes down. You should know that type of information off the top of your head. If you do , you can identify a high pass or low pass filter immediately. How about the impedance of an inductor what does it go as frequency increase? What does negative feedback do to an op amp: how does its output change? You do not necessarily need to know every equation by heart, but you do need to know the direction of the change. As far as the strength of the signal, that is usually enough to zero in on the part of the circuit that is not doing what you want it to. You need experience and lots of it.You need to get a feel for how different components work. You need to spend a lot time in the lab, and you need to understand the basics of each component.You need to know what a given signal will do as it passes through a given component. Remember the physical equivalent of the basic component? These are the building blocks of your ability to visualize the operation of a circuit. You must imagine what is happening inside the circuit as the input changes. If you can visualize that, you can predict what the outputs will do

Published Date

25 Mar, 2018