0
$\begingroup$

Can delta-star conversions be used to resolve any circuit of resistors into series and parallel combinations of resistors? I mean to say that if we do not utilize any other techniques like merging points with the same potential and so on, can we reduce any circuit to a simple one where all resistances are in some combination of parallel and series connections?

$\endgroup$
  • 2
    $\begingroup$ Hint: think about non-planar circuits. $\endgroup$ – The Photon Apr 5 '17 at 18:52
-1
$\begingroup$

From Wikipedia: Every two-terminal network represented by a planar graph can be reduced to a single equivalent resistor by a sequence of series, parallel, $Y$-$\Delta$, and $\Delta$-$Y$ transformations. However, there are non-planar networks that cannot be simplified using these transformations, such as a regular square grid wrapped around a torus, or any member of the Petersen family.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.