# Y to Δ transformation of a circuit

1. Oct 30, 2013

### sevag00

1. The problem statement, all variables and given/known data

Use Y to Δ transformation to find i0 and i/x

2. Relevant equations

3. The attempt at a solution

Here's my transformation.

Calculated i0, which is equal to 3A.
I have no clue how to find ix.

2. Oct 30, 2013

### Staff: Mentor

You'll need to find another "Y" to transform that leaves the Ix branch alone... Look for another point where three resistors come together at a node.

3. Oct 30, 2013

### sevag00

I can't find any. The others are all deltas.

4. Oct 31, 2013

### Staff: Mentor

That's not true! Three resistors come together at the bottom node, too. Remember, the particular orientation of parts and wires on a circuit drawing is not important. What is important is what is connected to what. The Y in "Y" configuration may look more like an ω if you bend the wires around a bit...

5. Oct 31, 2013

### sevag00

Sorry, still no clue.

6. Oct 31, 2013

### Staff: Mentor

Bottom central connection is the center of the Y. Three resistors leave that connection point. They are the 'arms' of the Y.

7. Oct 31, 2013

### sevag00

Do you mean the 12 ohm resistor that i0 passes through, the bottom 4 ohm resistor and the 4 ohm resistor that ix passes?

8. Oct 31, 2013

### Staff: Mentor

Yes, yes, no. Does the 4 Ω resistor that Ix passes through connect to the bottom node with the others?

9. Oct 31, 2013

### sevag00

Hmm. Then it should be the other 4 ohm resistor.