Our chapter 2 journey in Electric circuit!

There are some instances that it's hard for us to solve/interpret a circuit especially when your knowledge is just revolves around Ohm's Law because the circuit have it's different behavior that needs to analyze. But thanks to Gustav Robert Kirchhoff for having the Kirchhoff's Law(KCL & KVL). But for now, let me introduce to you the voltage division and current division.

Anyway, voltage and current division allow us to simplify the task of analyzing a circuit. :)

Voltage division allows us to calculate what fraction of the total voltage across the series string of resistors is dropped across any one resistor. 

 The figure above is a sample of a circuit that can be defined by using voltage divider, the formula of that is:

 So, you can solve already the simple circuit that I've shown to you by having that formula. :)

Next,
Current division, it allows us to determine how the current flowing into a node is split between various parallel resistors.

Observe this circuit,

In this circuit, the resistors are in parallel connection. So we can apply here the current divider because that's what it takes. Here is the formula:

Let's go back to KVL and KCL.
 
 Kirchhoff's voltage law, states that the algebraic sum of all the voltages around a closed circuit equals zero. 
 Another way of stating kirchhoff's voltage law is, the sum of all the voltage drops in a closed circuit will equal the voltage source.

 The sample figure that I've shown to you as KVL sample, there are four voltage drops and one voltage source in the circuit. If the voltages are summed around the circuit as shown, they equal zero.

The voltage source has a sign opposite that of the voltage drops. Therefore, the algebraic sum equals zero.  In another way, the sum of voltage drops will equal the voltage source. 

These two formulas are just the same thing and are equivalent ways of expressing Kirchhoff's Voltage Law. :)


Kirchhoff's current law, states that the algebraic sum of all the currents entering and leaving a node is equal to zero. Another way of stating the KCL is that the total current flowing into a node is equal to the sum of the current flowing out of that node.

Let me tell you something about a Node :)
A node is defined as any point of a circuit at which two or more current paths meet. In parallel circuit, the node is where the parallel branches of the circuit connect.
Then what is a branch? 
A branch  represents a single element such as a voltage source or a resistor that can be found in a loop.
Do you know what is a loop?
Anyway, a loop is any closed path in a circuit. So anything that is a closed path in a circuit is a loop.

To be clearer to you about the KCL, let just watch this video for a further explanation.  :) 

I hope you've learn a lot about it as what I have learn too. Some information that was written/viewed, data and pictures are came from the internet/book, and some are came from my own learning and understanding. Thank you :)

TAKE NOTE: "you will gradually know the characteristics of a circuit by just keep on solving any behavior of a different circuit that can be seen in the book of Alexander Sadiku the author, named Fundamentals of Electric Circuit(fourth edition). Just enjoy solving and you'll find it easier."

See you on the next blog!