This is my first attempt at a question of this type so I could be completely off. I've only got one example to follow and it's not exactly the same as this one.

Anyways, see figure for the problem statement as well as my attempt.

Am I on the right track? Also, what is the condition to achieve maximum power transfer in a circuit like this?

Thanks again.

 

Maximum power transfer is achieved when the source and load impedances are matched.

 

Maximum power transfer is achieved when the source and load impedances are matched.

Is the first portion of my circuit analysis correct as well?

 

Do you have 2 Z1s, or is it the writing? I only see Z repeated through the equations and lost track of which one sort of quick.

 

There is a Z, Z1, Z2 and Zf. Z1, Z2, and Zf are all defined in terms of Z, I'll then choose Z such that maximum power is transfered but I need to know if I've got the first part right before doing so.

How's it look?

 

Your working looks OK.