Saturday 9 March 2013
THEVENIN TYPE-2
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Find thevenin equivalent of above circuit across terminal ab
Solution
For VTH
Applying nodal analysis at node V1
V1-20
+ V1 + V1
- VTH = 0 --------------------------- 1
40 200 100
At node V1
i1 = V1/200 -----------------------------------------------------2
Applying nodal analysis at node VTH
VTH –V1 - 1.5 i1 =0
-------------------------------------------3
100
Solving above equation we get
VTH = 700
/ 18
VTH= 38.89 V
For RTH
From the above the circuit
In = IX + 1.5 I1
----------------------------------------------- 1
Applying nodal analysis at V1
V1-20
+ V1 + V1
- 0 = 0 ------------------------------- 2
40 200 100
Solving above equation we get
V1 = (100 / 8) V
At node V1
i1 = V1/200
---------------------------------------------------- 3
i1 = 1 / 16
IX = ( V1
– 0 ) / 100
IX = V1 / 100 = (1 / 8)A
Substituting the values of IX and i1
we get
In = 0.21875 A
RTH = VTH / In
Substituting the values of
VTH , In we get
RTH= 177.78Ω
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