The Thevenin equivalent of the following network between

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The Thevenin equivalent of the following network between A and B is—

Correct Option: A

Calculation for Rth to calculate the Rth. Let us assume an imaginary source say 10 V is connected across the open terminal and current I is flowing due to this imaginary source than

R_th =	1 0
	I

applying KVL, we get 10 – 6I – 10 (I – 0.8I₁) = 0 .....(i)
KlL at node A, gives I = – I₁ ....(ii)
from (i) and (ii)
10 = 6 I + 10 (I + 0.8 I) (I – 0.8 I₁) 6Ω
10 = 6 I + 18 I
10 = 24 I

I =	10
	24

R_th =	V	=	10	= 24
	I		10/24

Calculation for V_th: As, I1 = 0 dependant source will be acts as open circuit and the circuit becomes as shown.

So, the Thevenin's equivalent circuit between terminal A and B is shown below.