Thevenin Equivalent & Available Power?

[Marcin H]

Homework Statement

Homework Equations

V=IR
Node Voltage
Thev/Nort

The Attempt at a Solution

So I set up my equations in the picture below, but I'm kinda confused about the Vx's in the equations. First, did I set these up correctly? If so, solving them I get that V2=0 which would mean my Voc is 0V which means Vthev=0. Is that even possible? Am I doing something wrong here?

 

[NascentOxygen]

That rectangle labelled -V_x, what is it?

 

[Marcin H]

That rectangle labelled -V_x, what is it?

What? That's a dependent current source.

 

[NascentOxygen]

A Thévenin voltage of zero is okay. This still leaves you trying to determine R_th. There is not much use pretending to short-circuit the output to measure current—because regardless of the Thévenin resistance, that current is going to be zero because its voltage source is zero.

An equally-valid approach is to inject current into your circuit's output^◈and measure/calculate the voltage this causes at the output. You can then use this data in conjunction with the Thévenin model to calculate R_th.

So draw an independent current source adding a current I_in at terminal a and determine V_ab.

^◈ it's a linear circuit model, so on paper you can do whatever you wish to it