Hi everyone, here is the problem: "Find V1 and V2 in the figure using nodal analysis. Enter your answer using polar notation. Express argument in degrees."

This is the figure: http://s24.postimg.org/6mxx07dth/figure.jpg

In my attempt at a solution, using what I know about nodal analysis, I came up with: (Vin-V1)/30 = V1/j35 + V1/(50-j25). I know this can be rearranged to solve for V1, BUT I don't know how to transform Vin in such a way as to allow me to solve for it. And I'm also not sure of a good way to find V2 once I have V1. Can someone please, PLEASE help?

 

Your Vin needs to be written as a phasor.

If you know the voltage at V1, isn't the voltage at V2 simply the result of a voltage divider?