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Norton’s Theorem
Norton’s theorem
• Norton’s theorem states that a linear two-terminal circuit can
be replaced by equivalent circuit consisting of a current
source IN in parallel with a resistor RN
• where IN is the short-circuit current through the terminals
and RN is the input or equivalent resistance at the terminals.
Norton’ equivalent circuit
Steps to apply Norton’s theorem
• Find the Thevenin’s resistance of the circuit
• Short circuit the load resistor and calculate the short
circuit current
• Draw the Norton’s equivalent circuit.
How to find short circuit current
• Thevenin and Norton resistances are equal:
• Short circuit current from a to b :
Th
R
RN 
Th
Th
R
V
i
I sc
N 

Norton equivalent circuit parameters :
• The open circuit voltage voc across terminals a and b
• The short circuit current isc at terminals a and b
• The equivalent or input resistance RTH at terminals a and b
when all independent source are turn off.
N
I  sc
i
oc
Th v
V 
Th
Th N
Th
V
R R
R
 
For the circuit shown in fig draw the Norton’s
equivalent circuit.
Solution: find RTH
Find short circuit current
Find value of ISC
Norton’s equivalent circuit
Find the current flowing load resistance RL using Norton’s
theorem
Find RTH
Find iSC
Find VOC
Draw Norton’s equivalent circuit
Find the Norton equivalent circuit of the circuit
in Fig
To Find RN=RTH








4
25
5
20
20
||
5
)
8
4
8
(
|
|
5
N
R
To Find ISC=IN
.
and
terminals
circuit
short b
a

Find isc=IN
Apply KVL
-8* i2-8 *i2+12+4(i1-i2)=0
-16i2+12+4i1-4i2=0
4i1-20i2+12=0
4*2-20i2+12=0
-20i2+20=0
i2=20/20=1A
I2=isc=IN=1A
Norton’s equivalent circuit
Using Norton’s theorem find current
flowing through 3 ohm for the given circuit
Apply Norton’s theorem and Thevenin’s
theorem to calculate the current in the load
resistor of the circuit.
To find VTH
norton-theorem.pptx
norton-theorem.pptx
norton-theorem.pptx

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norton-theorem.pptx