# Y-delta/delta-Y transformation problem

yugeci

## Homework Statement

The question asks to find the current I going into the 2k resistor path using Y-delta or delta-Y transformations.

## Homework Equations

Resistance in parallel

1 / R = 1 / R1 + 1 / R2 ..

Converting Delta to Y,

R1 = RaRb / (Ra + Rb + Rc)

Current divider formula

Ix = (Rt / Rx) * Is

## The Attempt at a Solution

I converted the delta network of 3 k Ohm resistors into a Y-network of 1k Ohms each using the above equation. (3*3) / (3 + 3 + 3) = 1. Then I got the total resistance of the network as 1.5 k Ohm. Then I used the current divider formula and found I as 2.14 mA.

The only problem is I'm not sure if I found the total resistance of the network correctly. It's confusing. Can someone tell me if I did it right?

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