- #1

Dethoven

- 13

- 0

## Homework Statement

I need to get 7 equations to make a 7x7 matrix in order to solve it. I have 4 of them, but I'm not sure how to get the voltages equations.

## Homework Equations

## The Attempt at a Solution

I have got four equations so far. One is simply using KCL, I

_{1}= I

_{2}+ I

_{3}+ I

_{4}. The other three are from using KVL and Ohm's Law to get:

1. V

_{0}- V

_{R1}- V

_{R4}= 0

2. V

_{R4}- V

_{R2}- V

_{R5}= 0

3.V

_{R5}- V

_{R3}- V

_{R6}= 0

Applying Ohm's Law:

1. V

_{0}- R

_{1}i

_{1}- R

_{4}i

_{2}= 0

2. R

_{4}i

_{2}- R

_{2}(i

_{3}+ i

_{4}) - R

_{5}i

_{3}= 0

3. R

_{5}i

_{3}- R

_{3}i

_{4}- R

_{6}i

_{4}= 0

How do I get 3 equations for the unknown voltages?