# AC analysis query

1. Apr 12, 2010

### eeuler

1. The problem statement, all variables and given/known data
I have two questions to two different problems.
The first:

3. The attempt at a solution
My attempt:

Thing is, the solutions have V2=4.986$$\angle$$111.45(degrees) and i can't seem to get to that answer at all? What is wrong with my attempt because i can't see anything wrong with it? (Unless i've left out some negative signs, but even then it shouldn't change by much? Btw i took a supernode at the two nodes, hence my long KCL eqn.)

My second question is:

Attempt:

So to find the current through the resistor, i need to firstly find the node voltages V1 and V2 right? Then it's just a simple matter of (V1-V2)/5+j15. Thing is, i'm having a difficult time trying to find V1 or V2, since as you can tell my maths gets rather messy and i just hit a wall with V1=... + V2(...). Can someone point me in the right direction? Also, i suspect that this is the 'right way' to do it, because according to the solutions, V1=6.735$$\angle$$-38.54(degrees) and V2=16.25$$\angle$$-55.52(degrees), and when i substitute in V2 into V1=...+V2(...) i get the answer of V1..so how do i actually find V1 or V2?

Thanks.