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## Homework Statement

The variable resistor R in the ciruit is adjusted for maximum power to Ro. what percentage of total power developed in circuit is transfered to R.

## Homework Equations

i=V/R

## The Attempt at a Solution

So my goal is to put a "fake" charge across v/2(the dependent source) of 1A facing upwards. The R0 is at the very top of the circuit(the one with no value, above 7.)

Since I know i3=-1A I need equations for i1 and i2

5i1-2i2=217

-2i1+10i2=0

Solving for i1/i2..

i2=9.3A

i1=47.1A

From here, I know I need Vab which is V across the 1 ohm resistor minus V across the 3 ohm resistor

1(i2-i3)+3(i1-i3)=vab

1*10.3+3*47.1=vab

151.69=vab

151.69V/1A=151.69 ohms

The answer is meant to be 3, I also solved it the other way(calculating for Voc and Isc) and got 3 ohms for my answer. I don't know what I did wrong using this method.