# Matrix therory

1. Dec 20, 2011

### erezb84

1. The problem statement, all variables and given/known data
Hi,
i need to find the Admintace matrix and the current voltage vector.
i know how to do it if i have only non dependent sources.
but how should i work with the dependednt source?
s
should i take the dependent voltage source and turn it to current source with paralel resisotor?

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2. Dec 20, 2011

### Staff: Mentor

I think if you just write the node equations using the dependent sources as-is, and then write separate equations for the dependent sources (for example, $V_x = \frac{e_3 - e_2}{R_x}$) that you can substitute in, then you should be able to extract the admittance matrix from the resulting equations.

3. Dec 22, 2011

### erezb84

thanks,
BTW, how can i represent Vy?...

i think Vx is just e2-e3, no?

4. Dec 22, 2011

### Staff: Mentor

What is the current through Ry?
Why, yes it is. Well spotted

5. Dec 22, 2011

### erezb84

oh..
the currnt is alpha*Vx, so the volage Vy= alpha*Vx*Ry?

6. Dec 22, 2011

### Staff: Mentor

Yup.

7. Dec 22, 2011

### erezb84

great! thanks alot!