Thevenin's Theorem

Monday, 20 August 2018

12:46 PM

The load of a circuit is an element that varies in its power usage

Every time the load changes, the circuit would have to be analysed again

 

Thevenin's theorem provides a technique to simplify the analysis by replacing the fixed part of the circuit with an equivalent one known as Thevenin equivalent circuit

 

Thevenin's theorem - A linear two-terminal circuit can be replaced by an equivalent circuit consisting of a voltage source in series with a resistor

Machine generated alternative text:
Linear 
two-terminal 
circuit 
(a) 
V 
V 
Load 
Load

 

The voltage source's value is called the Thevenin voltage , and is equal to the open-circuit voltage at the terminals

Machine generated alternative text:
i=0A 
RTh 
Linear 
two-terminal 
VOC 
circuit 
VTh = voc 
VTh

 

 

Thevenin resistance  is equal to the ratio of the open-circuit voltage to the source-circuit current at the terminal pair.

Machine generated alternative text:
Linear 
two-terminal 
circuit 
VT h 
RTh 
VTh —

 

Alternatively,  can be calculated as the input resistance measured at the terminals when all independent sources are turned off (method cannot be used for dependent sources)

Machine generated alternative text:
Linear circuit with 
all independent 
Rin = RTh 
eq — 
sources set equal 
to zero

 

 

 

It is a powerful technique in circuit analysis with variable loads

It allows us to simplify a large linear circuit

The equivalent circuit behaves externally exactly the same way as the original circuit

The current through the load  (or load current ) and the voltage across the load (load voltage ) is obtained using a simple voltage division, or KVL/KCL

Machine generated alternative text:
Linear 
circuit 
VTh 
RTh+RL 
VTh

 

 

Created with Microsoft OneNote 2016.