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Saturday, July 19, 2014


Series and parallel circuits

Components of an electrical circuit or electronic circuit can be connected in many different ways. The two simplest of these are called series and parallel and occur very frequently. Components connected in series are connected along a single path, so the same current flows through all of the components. Components connected in parallel are connected so the same voltage is applied to each component




Series Circuit

Series circuits are sometimes called current-coupled or daisy chain-coupled. The current in a series circuit goes through every component in the circuit. Therefore, all of the components in a series connection carry the same current. There is only one path in a series circuit in which the current can flow.



Example for an Series Circuit





Current in Series is the same for all Elements!!




Voltage drops across the resistors must add up to the total voltage supplied by the battery.




Ohm's Law formula  (V = I R), then




Since the current in series are the same we will use this formula


Resistor in series or in one path add up also but it depends in on its polarity and sign convention you are following.









Parallel circuits

If two or more components are connected in parallel they have the same potential difference (voltage) across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applicable to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff’s current law.


Example of a Parallel Circuit








Voltage in series are equal!






but the Current add up!







Formula in R(equivalent or the total of resistors) in parallel








Learnings:

In our discussion our professor introduce us the two different techniques the Voltage Division and the Current Division at first I had difficulties because I was used to solved the three elements(V, I , R) in a wild way or "Matiyaga" , wild way for me means when I solve problems  first I  have to make all resistor series so I  draw step by step until one resitor is left(Requivalent) so imagine if I solve complicated circuits, 2nd I will solve from down to up to get the elements and sometimes I will get all elements to check if my calculation were correct like i1 to i10 or v1 to v10 and in our last assignment some of my classmates complain because they can't copy or  understand the way I solve  but I arrive in the correct answer in the book.hahaha. 

Example in Voltage division








 Current Division


These are just basic circuits but practice makes perfect!


Hard work, Work, hard work, work, 
hard work Work!!!







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