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Network theorem of network analysis and synthesis subject, Lecture notes of Electronics engineering

Kavayitri Bahinabai Chaudhari North Maharashtra UniversityElectronics engineering
Prof. Samadhan Kulkarni

All network theorems, network analysis and synthesis subject, lecture notes

Typology: Lecture notes

2023/2024

Available from 04/02/2025

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Thevenin’s Theorem
Statement: A linear bilateral network consisting of a
number of active sources and number of circuit
elements can be replaced by a simple two terminal
network having a single voltage source called
Thevenin’s voltage (VTh ) in series with an equivalent
impedance called Thevenin’s impedance(ZTh ) .
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Download Network theorem of network analysis and synthesis subject and more Lecture notes Electronics engineering in PDF only on Docsity!

Thevenin’s Theorem

Statement: A linear bilateral network consisting of a

number of active sources and number of circuit

elements can be replaced by a simple two terminal

network having a single voltage source called

Thevenin’s voltage (V

Th

) in series with an equivalent

impedance called Thevenin’s impedance(Z

Th

  • (^) Where Vth is the open circuit voltage

measured at the two terminal of interest,

with load ZL is removed. This voltage is

also called Thevenin's Volatage and

  • (^) Zeq is the equivalent impedance of the

given network as viewed through the

terminals where ZL is connected, with ZL

removed and all the acxtive sources are

replaced by their internal impedances.

Steps to Apply Thevenin’s Theorem

  1. Remove the branch impedance, through which current is required to be calculated.
  2. Calculate the voltage across these open circuited terminals, by using any of the network simplification techniques. This voltage is the Thevenin Equivalent Voltage (V TH
  1. Calculate the equivalent impedance Zeq, as as viewed through the two terminals of the branch from which current is to be calculated by removing that branch impedance and replacing all the independent sources by their internal impedances.
  2. Draw the Thevenin's equivalent showing the voltage source Vth, with the impedance Zeq in series with it, across the terminals of the branch through which current is to be calculaed. Reconnect the branch impedance now. Let it be ZL.
  3. Now find the Total current flowing through the branch i.e. load by using the Ohm’s Law: I = V TH
/ (Z

TH

+ Z

L

Ex. Obtain Thevenin's equivalent of the

network shown below.

Step2 : Vxy = I × ( 3 + j4)

0

× 5 < 53.

0

0

V

= Vth

Step 3 : Obtain Zeq as viewed through terminals

X-Y replacing voltage sourse by short circuit.

Norton’s Theorem

Statement: A linear bilateral network consisting of

a number of active sources and number of circuit

elements can be replaced by a simple two

terminal network consisting of a single current

source IN amperes and a single impedance in

parallel with it, across the two terminals of the

load ZL.

  • (^) Where IN is the short circuit current flowing through the short circuited path, replaced instead of ZL. It is also called Norton's current and
  • (^) Zeq is the equivalent impedance of the given network as viewed through the terminals where ZL is connected, with ZL removed and all the active sources are replaced by their internal impedances.