Chapter 2

CHAPTER 2: "Series and Parallel Resistors"

 We are now on the second chapter of our lesson, the series and parallel resistors. You may find our article to be shorter than the first one because there were class interruptions this week and we only had 2 meetings, the other one was for our Laboratory. 

So without further adieu, let's start.

What is a SERIES RESISTOR? 

A resistor is said to be in a Series connection if the amount of current flowing through all the resistors is the same. 

  

*This is an example of a Series diagram*

                   Formulas involving series resistors                          

• V1 = iR1 & V2 = iR2

     Kirchoff's Voltage Law

• V - V - V2 = 0

• V = i ( R1 + R2)

• i = V / R1 + R2   = V / REQ

• Req = R1 + R2

What is a PARALLEL RESISTOR?

A resistor is in a Parallel connection if they posses a common voltage across their terminals and other connected elements.

• (i = i1 + i2)  = (V / R1 + V / R2) = (V { 1 / R1 = 1 / R2 }) = V / REQ

• V = i REQ

• 1 / REQ = ( 1/ R1 + 1/ R2)

• REQ = R1R2 / (R1+R2).

        

Engineering Terminologies

"Notice To All Students"

Leave the excuses at the door,
If you don't do your homework, just admit it.
If you didn't understand the assignment, ask for help.
If you didn't study for the test, accept the grade and resolve to do better next time.
If you refuse to follow my rules, accept the consequences.
This is my classroom and I'm here for one reason only;
To teach you, to inspire you, to help you grow.
I'll do my part. The rest is up to you.

Welcome! 

We encourage everyone to take time, glance, read and ponder at this poem at the beginning of our blog to set an inspiration to our fellow students, to be reminded about the humble journey of our lives as engineering students.

These are some of the concepts and terms we learned from our previous discussions earlier this week: 

CHARGE = q(t)

     -  Basic quantity in an electric circuit also defined as an electrical property of materials

CURRENT = i(t)

     -  Defined as flow of rate/ flow rate

      -  Measured in Ampere (A)

VOLTAGE = v(t)

     -  Charge rate of doing work

      -  Energy required to move a unit change through an element

POWER = p(t)

    -  Time rate of doing work

     -  Measured in h(watts)

     Positive = absorbs power

     Negative = supplies power

ENERGY

     -  Capacity to do work

CIRCUIT ELEMENTS

     -  Basic building block of a circuit

     -  Electric circuit-interconnecting of the elements

          Types of Elements

               * Active

                    * Passive

                    * Voltage & Current Sources

SOURCE
     -  Independent source
     -  Dependent source

FUNDAMENTAL LAWS & INTRODUCTION

Ohm's Law

     -  Voltage is directly proportional to current. Where, V  α I.

     -  A relationship between current and voltage within a circuit element.

Thus, V=IR & R=V/I 

            where R (resistor) is the ability to resist the flow of electric current. Measured in Ohm's Ω.

Kirchoff's Current Law (KCL)
     -  The algebraic sum of current entering/leaving a node is zero.
     -  Current enters = + ve
     -  Current leaves = - ve

Therefore, Summation of current entering = Summation of current leaving.


Kirchoff's Voltage Law (KVL)
     -  The algebraic sum of voltage (rises and drops) in a loop is zero.
     -  Applied to a loop in a circuit