How is Max Power Transferred in a Circuit?

[utkarshakash]

Homework Statement

Find the max power transferred through R in the circuit given.

Homework Equations

See attachment for the diagrams

The Attempt at a Solution

The Norton's equivalent resistance is 5.4Ω. For finding the Norton's current, I need to find the short-circuit current through the terminal AB.
Applying Kirchhoff's law to the middle loop, I can write
4(i-2)=1.43(5-i)
i=2.79

Thus, P = I_norton²R_eq = 42.04.
But this is the incorrect answer.

 

[ehild]

The maximum power is transferred to a load equal to the internal resistance of the generator. You calculated the power supplied to the Norton resistance, if there was no load. How much current would flow through the loading resistance R if R=Req?

ehild

 

[utkarshakash]

The maximum power is transferred to a load equal to the internal resistance of the generator. You calculated the power supplied to the Norton resistance, if there was no load. How much current would flow through the loading resistance R if R=Req?

ehild

Thanks! It solved my problem.