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Conversions Between Cartesian, Cylindrical and Spherical Coordinates

The 3 common methods of describing a point in a three dimensional coordinate system are Cartesian, Cylindrical and Spherical. The most simple is Cartesian but certain teachers find it necessary to use the others. There are a few simple conversions between them but first it is necessary to know their notation.
Cartesian:
Cylindrical:
Spherical:
In most [...]

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Unit Vector Between Two Points

Suppose you are interested in finding the unit vector between two points, and , which are described in cartesian coordinates as and , respectively.
You would begin by finding the vector between these two points. The direction of this vector may be important so look for key words such as . Once [...]

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Laplace Transforms

The Laplace Transform is a method that simplifies integral and differential equations into algebraic equations. This practice is commonly used to solve for a function out of a differential equation, which otherwise may have been unsolvable or very difficult. The following integrals can be used to transform between where denotes Laplace and [...]

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Inductors and Capacitors – Important Concepts

Posted by Jeff on Sep 1, 2009 in Basic Electrical Engineering Concepts

I have already put a lot of material up related to inductors and capacitors, but more can’t hurt anyone.  I have a few new things to say about the inductor and the capacitor and a few different graphical approaches to common problems you will encounter in your electrical engineering classes.
/quick review
Inductors – Units of inductance [...]

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Capacitors

Posted by Jeff on Aug 27, 2009 in Basic Electrical Engineering Concepts, Physics

Capacitance is an ability of an electronic component to store energy in the form of an electrostatic charge (electric field). It is often described as a characteristic of a component that opposes any change in voltage.
Capacitor stores energy in an electric field between two parallel metal plates which are separated by an insulator (dielectric) such [...]

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