Question
Sat July 14, 2012 By:

# Using the equation V1 - 10I - 20 I2 = V2 10I - 30 I1 = V1 - V3 Find the value of I, I1 and I2

Sun July 15, 2012
Given :V1 - 10I - 20 I2 = V2
10I - 30 I1 = V1 - V3
V1 = 10
V2 = 6
V3 = 5
I= I1 + I2

To find : I , I1 ,I2

V1 - 10I - 20 I2 = V2
Now putting the values of V1 and  V2 , we get
10 - 10I - 20 I2 = 6
5I + 10 I2 =2
5 (I1 + I2 ) + 10 I2 =2            {using I = I1 +I2 }
5 I1+15 I2=2  ................(1)

Now ,
10I - 30 I1 = V1 - V3
Now putting the values of V1 and  V3 , we get
10I - 30 I1 = 10-5
10I - 30 I1 = 5
2I - 6 I1 = 1
2 (I1+I2) - 6 I1 = 1              {using I = I1 +I}
- 4 I1 + 2I2 =1............................(2)

Solving eq 1 and 2 , we get
I1 = 5 /32 , I2 = 13/16
since I =I1+ I2 = 5 /32 + 13/16 = 31/32 Answer
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