Question

A Delta-connected network with its Wye-equivalent is shown in the figure. The values of resistances \(R_1\), \(R_2\) and \(R_3\) (in \(\Omega\)) are respectively.

• A. \(1.5\Omega,\ 3\Omega \text{ and } 9\Omega\)
• B. \(3\Omega,\ 9\Omega \text{ and } 1.5\Omega\)
• C. \(9\Omega,\ 3\Omega \text{ and } 1.5\Omega\)
• D. \(3\Omega,\ 1.5\Omega \text{ and } 9\Omega\)

Hint:

For Delta-to-Wye conversion: \[ R_{\text{Wye arm}}= \frac{\text{Product of adjacent Delta resistors}} {\text{Sum of all Delta resistors}} \] Always use the resistor pair connected to the corresponding terminal.

Answer 1

The Correct Option is D