Nodel analysis numerical
We have to find V1 and V2 it by applying nodel analysis at two nodes ?
Step 1: first nodel analysis
( (V1-20) /5) +(V1/10) +((V1-V2) /10) =0
(2V1-40+V1+V1-V2) /10 =0
4V1-V2=40.....................(I)
Now,
Step 2: second nodel analysis
((V2-V1) /10) + (V2/20) -4=0
(2V2-2V1+V2-80)/20=0
3V2 -2V1=80 ......................... (II)
Now equate equation (I) and(II) to get the value of V1 and V2
( -2V1+3V2=80) *1
( 4V1- V2 =40) *3
..............................
-2V1 +3V2 =80
12 V1 -3V2=120
.......................................
10V1 =200
V1 =20 V
and put the value of V1 in equation (I) to get the value of V2
So, V2 =40 V
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