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## Homework Statement

Find [itex]i_1,i_2,v_A,\text{ and }v_H[/itex] in the ladder network. Calculate the power dissipated in the [itex]2\;\Omega[/itex] resistor.

http://i.snag.gy/PIhxl.jpg

## Homework Equations

Kirchhoff's Laws (i.e. current law, voltage law).

## The Attempt at a Solution

Ok, I know that I can simplify the circuit down to one loop then use Ohm's law to calculate [itex]i_1[/itex], but then I have to do other things to get the other stuff.

I tried to make a system to solve this problem using the laws.

Can somebody tell me where I'm doing wrong here?

[itex]

\begin{align}

i_b&=i_c+i_a\\

i_c&=i_e+i_d\\

i_e&=i_g+i_f\\

12i_a-28+8i_b&=0\\

12i_a+6i_c+15i_d&=0\\

4i_e+10i_f+15i_d&=0\\

2i_g+13i_h+10i_f&=0\\

4i_e+2i_g+13i_h+15i_d&=0

\end{align}[/itex]

Getting me something like:

[itex]-\frac{7}{39},\frac{49}{13},\frac{154}{39},\dots[/itex]

which I know is completely off.