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ELECTRONICS
Spring 2020
Lec. 4
Dr. Mona M.Soliman
Dr. Walid M. Ibrahim
IT Dept.
Resistors in Series
Simple Circuits
2
Resistors in Series
Voltage division rule
3
4
Resistors in Series
KVL & voltage division rule
Resistors in Parallel
Simple Circuits
5
Resistors in Parallel
Current division rule
6
1
1
1 2 3
2
2
1 2 3
3
3
1 2 3
G
I
G G G
G
I
G G G
G
I
G G G

 

 

 
1
G
R

7
Resistors in Series
KCL & current division rule
 Circuits Terminologies
(Node, Branch ,Loop, mesh)
8
What did we learn??
 KCL , current division rule
(current,“node”)
9
What did we learn??
10
What did we learn??
KVL, voltage division rule(Voltage, “path”)
11
Example-1
 Ex: Find V1, V2, and V3, for Vs = 12 V,
R1= 1 K, R2 = 2 K , and R3 = 1 K .
1 2 3
1 2 3
0
12
3
1 2 1
s
s
V V V V
IR IR IR V
I A
   
  
 
 
1 1
2 2
3 3
3*1 3
3*2 6
3*1 3
V IR v
V IR v
V IR v
  
  
  
12
 EX: Find I1, I2, and I3, for Is = 12 A,G1=1 K,
G2 = 2 K , and G3 = 1 K .
Example-2
13
Example-3
14
15
Example-4
16
For the following circuit:
a. Find the values of currents ia , ib and the voltage vo.
b. The power dissipated in each resistor.
c. The power delivered by the voltage source.
17
Example-5
18
20,80
2
50
80 || 20 16
16 4 20
50 / 20 2.5
division law
1/ 20
i 2.5( ) 2
1/ 20 1/ 80
2.5 2 0.5
(4) 20 (0.25) 80 (6.25) 4 125
50 2.5 125
T
T
a
b
R
V
R
R
I A
Current
A
i A
P I XR x x x
P X W
  
   
 
 

  
    
 
Example-5
Answer
What can you solve at home?
 Chapter 1 problems:
24,25,26,27,28,56,57,58
 Chapter 2 problems:
1,2,3,4,5,39,40,41,42,43
 Chapter 3 problems:1-
10,20,21,22,23,24,25,27,29-33,41,44,47-
67,75,77,78,80,81,82,85,88,90
19

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