The relation of delta - star transformation can be expressed as follows.
The equivalent star resistance connected to a given terminal, is equal to the product of the two delta resistances connected to the same terminal divided by the sum of the delta connected resistances.
If the delta connected system has same resistance R at its three sides then equivalent star resistance r will be,
Star - Delta Transformation
For star - delta transformation we just multiply equations (v), (VI) and (VI), (VII) and (VII), (V) that is by doing (v) × (VI) + (VI) × (VII) + (VII) × (V) we get,
Now dividing equation (VIII) by equations (V), (VI) and equations (VII) separately we get,
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