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Tuesday, July 10, 2012

Network Analysis for electric circuits

Network  Analysis  for  electric circuits  are  the  different  useful  techniques related to several currents, emfs, and resistance voltages  in  such  circuit. This is  somewhat  the collection of techniques of finding the voltages and currents in  every component of the network. Some of those  techniques  are  already  mentioned in  this  online  tutorial  of
Electrical Engineering. 
There are six remaining useful techniques that we are going to learn. The practical example of each analysis will be given in my next post. This is for you to comprehend first what each theory is all about. So, let's begin the first useful technique in analyzing network.  

Anyone  who's  studied  geometry  should  be  familiar with  the  concept  of a  theorem:  a 
relatively simple rule used to solve a  problem,  derived  from  a  more  intensive  analysis 
using fundamental rules of mathematics.  
At  least  hypothetically, any problem in math can be solved just by using the simple rules  of  arithmetic  (in fact, this is how modern digital computers   carry  out  the  most  complex  mathematical  calculations: by repeating many cycles of  additions  and subtractions!), but human beings aren't as consistent or as fast as a digital computer. We need “shortcut” methods  in order  to  avoid  procedural  errors.

In electric network analysis, the fundamental rules are Ohm's Law  and Kirchhoff's Laws. While these humble laws may be applied to analyze just about any  circuit configuration (even if we have to resort to complex algebra to handle multiple unknowns), there are some “shortcut” methods of analysis to make the math  easier for the  average human.

As with any theorem of geometry or algebra, these network  theorems  are derived from fundamental rules. In this chapter, I'm not going to delve into the formal proofs of any of these theorems. If you doubt their validity, you can always empirically  test  them  by  setting  up  example  circuits  and calculating values using the “old” (simultaneous equation) methods versus the “new” theorems, to see if the answers coincide. They always should!

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