Y to Δ transformation of a circuit

[sevag00]

Homework Statement

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

Homework Equations

The Attempt at a Solution

Here's my transformation.

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

 

[gneill]

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.

 

[sevag00]

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

 

[gneill]

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

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...

 

[sevag00]

Sorry, still no clue.

 

[gneill]

Sorry, still no clue.

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

 

[sevag00]

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

 

[gneill]

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

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

 

[sevag00]

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