Question

If all resistances in delta are equal to 30 $\Omega$, then each resistance in star is

• A. 30 $\Omega$
• B. 90 $\Omega$
• C. 10 $\Omega$
• D. 900 $\Omega$

Hint:

For any balanced network, the transformation simplifies drastically to a factor of 3: \[ R_{\text{Star}} = \frac{1}{3} R_{\text{Delta}} \quad \Longleftrightarrow \quad R_{\text{Delta}} = 3 \cdot R_{\text{Star}} \] Since Star connections distribute power across a neutral reference point, their equivalent branch resistances are always three times smaller than their corresponding Delta loop values!

Answer 1

The Correct Option is C