Sunday 10 March 2013

THEVENIN TYPE 3


Find thevenin equivalent to the above circuit across ab

Solution
Connect a known current source or voltage source to the above circuit because without a independent source the circuit becomes inactive. So to make it active we are connecting a known current source or voltage source

From the above circuit VTH = V1

Applying nodal analysis at node V1
V1  +  V1 – VX  - 1  = 0
100      50

3V1 – 2VX = 100 ---------------------------------1

Applying nodal analysis at node VX

VX   +  (VX - V1)  + 0.1V1 = 0
200         50

16V1 + 5VX = 0

VX = (16/5)V1  ----------------------------------- 2

Substituting equation 2 in equation 1 we get

                          V1 = 10.6 V = VTH 

                         RTH = VTH / 1

                         RTH = 10.6Ω


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