I found this nodal analysis question and it seems a little ridiculous.

It asks us to derive the transfer function for the circuit shown in figure. First off let me say that nodal analysis isn't the ideal method for solving this circuit.

Why wouldn't one simply use mesh analysis? (You get 2 of the 3 mesh currents by inspection)

Anyways, here's what I've come up with for my nodal analysis.(See figure attached)

We are asked to write the system of equation in matrix format which I've attempted to do. (I'm not entirely sure it's correct)

Is it suppose to be easier to solve in this format? Because I'm not seeing it.

Is this a goofy question?

Thanks again!

 

Maybe it's just for practice. Being easy makes it easy to confirm the result.

 

Hi jegues,

Your second equation 2 looks incorrect - missing the 's' in the (VA-VB) term. See your equation 1.

Also I would think if you are working in the 's' domain you would state 4u(t) Amps as 4/s Amps