# Circuits: Three-Wire Single Phase System

1. Jul 25, 2007

### dazedoutpinoy

1. The problem statement, all variables and given/known data
An inefficient three-wire single-phase system has source voltage of Van=Vnb=720/_0 degrees V, line resistance RaA=RbB=1 ohm, with RnN=10 ohm, and loads ZAN=10+j3 ohm, ZNB=8+j2 ohm, and ZAB=18+j0 ohm. Find a) IaA b) InN, c) Pwiring,total d) Pgen,total

2. Relevant equations
I used mesh analaysis to find the current around each loop

3. The attempt at a solution

When solving for the current around each loop using mesh analysis I ended up getting 720 Arms for I1, I2, and I3, which is the incorrect answer (the correct answer for IaA is 126.06 @ -6.479 degree A. And through my calculation the InN will have zero current but that can't be true since this system is an inefficient system. It could be that I set up my mesh equations incorrectly but I can't see where I did wrong though.

The attempt for a solution is added in as an attatchment.

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Last edited: Jul 26, 2007