Electrical – Equivalent resistance using wye-delta

circuit analysiscircuit-designresistance

The segment of circuit to be evaluated

I have already attempted this problem and it takes 6 wye-delta transformations to determine the equivalent resistance across the marked points. But I was looking for other possible methods that might simplify this approach. Note that I'm not asking for a solution. I'm asking for reasonable methods to apply to this context.

Best Answer

If you're happy to trade accuracy for speed, I'd note that the circuit is a 10 ohm in parallel with everything else. Everything else is going to work out to be at least 10 ohm, so Req is approximately 6 ohm. Good to within an order of magnitude.

For accuracy and generality it has to be nodal analysis (with a dummy source). Apply at every node and stick into a big matrix to be solved by a linear algebra package.

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