Thevenin equivalent circuit

Question

Answer 1

Step 1 :

Redraw the circuit with equivalent thevenins voltage and resistance.

(From the results of http://www.mathskey.com/question2answer/31679/thevenin-equivalent-circuit

& http://www.mathskey.com/question2answer/31680/thevenin-equivalent-circuit)

Observe the diagram.

The resistors are in seies.

Thevenin's voltage is 

Circuit current is  .

Substitute corresponding values in the above equation.

.

Step 2 :

Maximum power will be transferred when source resistance and  thevenins resistances are equal.

Maximum power dissipated is .

Substitute and in the above equation.

Maximum power dissipated is .

Solution :

Maximum power dissipated is .