Different Laws in Network Analysis
Different Types of the Laws in Network Analysis are:
- Ohm’s Law
- Kirchhoff’s Laws
Ohm’s Law
It states that if all physical conditions and temperatures remain constant then the voltage across a conductor is directly proportional to the current flowing through it.
Mathematically , V=IR
Where,
V=Voltage,
I=Current,
R=Resistance
Solved Example
Q .What is the current flowing through a circuit having 500 ohms resistor and 10 volts voltage source
According to Ohm’s Law – V=IR and I=V/R
I=10/500=0.02A
Hence current is 0.02A
Kirchhoff’s Laws
Kirchhoff’s laws are referred to as the two fundamental principles in electrical circuit theory. There are two laws of Kirchhoff – Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL). Let’s take a look at these in detail.
Kirchhoff’s Current Law
Kirchhoff’s Current Law states that the total current entering a junction or a node is equal to the total current leaving that junction or node. It principally states that the algebraic sum of current entering and leaving any junction is always zero. This law is based on conservation of charge.
Mathematically, Σ i = 0 (incoming current = outgoing current)
Kirchhoff’s Voltage Law
Kirchhoff’s Voltage Law states that the algebraic sum of voltage around a loop or a closed path equals to zero. It principally, states that total energy supplied by the voltage sources in a closed loop is equal to the total energy consumed by the circuit elements in that loop. This law is based on conservation of energy.
Mathematically, Σ v = 0 (voltage across a loop = zero)
Solved Example
Q. What is the voltage VS across the open switch in the circuit shown in fig given below
Kirchhoff’s Law
We will apply KVL to find VS. First, we will start from point A and then move in the clockwise
direction to calculate the total voltage.
Vs + 10 – 20 – 50 + 30 = 0 . Therefore, Vs = 30V .
Network Analysis in Electric Circuits
In this Article We will be going through what is Network Analysis, we will look at its components,then we will go through Electrical Elements, In this we will Know what is active and passive elements and the Different types of connections in electrical circuits, Next we will go through Different types of laws and Solved Examples on it, Similarly we will go through different theorems and at last we will conclude this article with Advantages, Disadvantages, Applications, and FAQs.
Table of Content
- What is Network Analysis?
- Electrical Elements
- Different laws in Network Analysis
- Theorems Used for Electrical Circuit Network Analysis
- Advantages of network analysis
- Disadvantages of network analysis
- Applications of Network Analysis