الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

Lectures in General Physics
Example 8.8
In the circuit shown in figure 8.15, (a) find the current I 1 , I 2 , and I 3 , (b)
the potential difference between points a and b. Use these values,
ξ 1 =10v, ξ 2 =6v, ξ 3 =4v, R 1 =6Ω, R 2 =2Ω, R 3 =1Ω, and R 4 =4Ω.
(Use the current as labeled in the figure below).
a
I 1
I 3
R 2
2
ξ 1
I 2
ξ ξ3
(a)
(b)
R 1
R 3
R 4
b
Figure 8.15
Solution
For the junction at the top we get
I 1 + I 2 - I 3 = 0 (1)
For loop a on the left side we get
+ξ 1 - I 1 R 2 - ξ 2 + I 2 R 3 - I 1 R 1 = 0
+10 - 2I 1 - 6 + I 2 - 6I 1 = 0
+4 - 8I 1 + I 2 = 0 (2)
For loop b on the right side we get
- I 2 R 3 +ξ 2 - ξ 2 + I 3 R 4 = 0
- I 2 + 6 - 4 - 4I 3 = 0
+2 - I 2 - 4I 3 = 0 (3)
Dr. Hazem Falah Sakeek