Step 1: \ \

Find the thevinins equivalent resistance.

1.Open the load resistor.

2.Open Current Sources and Short Voltage Sources.

3.Calculate the Open Circuit Resistance. This is the Thevenin Resistance (R_TH).

Redraw the circuit :

4 ohm resistor does not involved in the circuit since it is opend.

So the equivalent resistance will be .

Solution : \ \

Thevenin Resistance is .

Step 1: \ \

Find the thevinins equivalent resistance.

1.Open the load resistor.

2.Calculate the Open Circuit Voltage. This is the Thevenin Voltage (V_TH).

Redraw the circuit :

Loop current for the above network is 1 A.

The voltage across the resistor R₂ is :

The Thevenin Voltage will be voltage across  R₂.

Thevenin Voltage is .

Solution : \ \

Thevenin Voltage is .