Question

If a 4ohm, 3ohm and 2ohm resistor is connected in delta, find the equivalent star connection.

(a) 8/9ohm, 4/3ohm, 2/3ohm

(b) 8/9ohm, 4/3ohm, 7/3ohm

(c) 7/9ohm, 4/3ohm, 2/3ohm

(d) 8/9ohm, 5/3ohm, 2/3ohm

I got this question in examination.

This intriguing question originated from Delta Star Transformation topic in chapter Network Theorems of Basic Electrical Engineering

Answer 1

The correct answer is (a) 8/9ohm, 4/3ohm, 2/3ohm

The explanation is: Using the delta-star conversion formula:

R1=4*3/(2+3+4)

R2=2*3/(2+3+4)

R3=2*4/(2+3+4).