Find the Thevenin’s equivalent for the network in Fig. P8.138 at terminals A−B.Figure P8.1...
Find the Thevenin’s equivalent for the network in Fig. P8.138 at terminals A−B.
Figure P8.138
Step-by-Step Solution
Refer to the circuit in Figure P8.112 in the textbook.
The circuit is represented by Figure-1.
Apply Kirchhoff’s current law at node 1.
…… (1)
From the circuit,
Apply Kirchhoff’s current law at node-2.
Substitute 
for 
in the equation.
Substitute 
for 
in the equation.
…… (2)
Apply Kirchhoff’s current law at node-3.
Substitute 
for 
in the equation.
…… (3)
Determine the value of 
.
Substitute equation (3) in equation (2).
Determine the value of 
.
Substitute -8 V for 
in equation (3).
From the circuit,
Apply Kirchhoff’s voltage law in super loop.
Substitute 
for I, 
for 
in the equation.
From the circuit,
Substitute 
for 
in the equation.
…… (4)
Apply Kirchhoff’s current law at node-3.
Substitute 
for I, 
for 
, and 
for
in the equation.
Substitute 
for 
in the equation.
…… (5)
Determine the value of 
.
Substitute equation (5) in equation (4).
Determine the value of Thevenin impedance.
Substitute 
for 
, 
for 
in the equation.
Therefore, the Thevenin equivalent is shown in Figure 3.
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