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ELECTRONICS
Fall 2020
Lec. 11
Dr. Mona Soliman
Dr.Walid Mohiy
IT Dept.
2
Linear Circuit
 Output is linearly related to input.
 Linear elements
 Independent sources.
 Resistors.
 Linear dependent sources.
3
Linear Circuit
 Eq. circuits and theorems
 Source transformation.
 Superposition.
 Thevenin & Norton.
 Maximum power transfer.
Dr. Mohamed Shalaby 4
Superposition
 Principle
 In any linear circuit containing multiple
independent sources,
 the current or voltage at any point in the
network may be calculated as the algebraic
sum of the individual contributions of each
source acting alone.
5
Superposition
 Procedure
 Find the contribution due to only one
independent source by deactivating all
other independent sources.
 Repeat for other sources.
 Sum individual contributions to obtain
desired voltage or current.
6
Voltage source current source
7
Superposition
Vs=10 V, Is=2 mA
Method-1
 Using Node analysis
8
Method II (using superposition )
9
 For Vs only_
5
o
v V

 For Is only
2
o
v V

For Vs only
5
o
v V

For Is only
2
o
v V

5 2 7
o
v V
  
12
Find power of 12 Ω Resistor
Superposition
Example -2
Solution
13
 For 100 V only
14
 For 6 A only
I=2A
I=5.5A
P=370 W P=48 W
P=370+48=418 W P=(5.5+2)2x12=685 W
Correct
16
17
18
19
20
Superposition
Apply superposition principle to solve for the
terminal voltage
21
Superposition
Vo.c =
22
Superposition
Vo.c =
23
Superposition
Vo.c =
24
Superposition
25
Superposition
26

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Lec 11.pdf