Simplifying Complex Circuits: Using Delta to Y Transformation

jisbon · Aug 13, 2020

Circuit schematic with nodes a through f: a 5 ohm and 3 ohm resistor form the top, a 20 ohm and 9 ohm resistor the bottom, with a 10 ohm resistor between d and a and an 8 ohm resistor between b and e.

Not sure what I can do to proceed on here: Should I be using the Delta to Y transformation? Wouldn't be able to simplify using simple series and parallel circuits, and hence am looking for any clues I might need to solve this problem.
PS: ForDelta to Y transformation, it seems that the 10 and 8 ohm resistor seems to be preventing me from doing this way.

gneill · Aug 13, 2020

Points c and f are connected by a wire, hence are in reality the same node. Does that suggest a way forward?

Bright Liu · Aug 13, 2020

Maybe you can solve it like this （In China we called it Current distribution method ）

Handwritten circuit schematic with resistors 10Ω, 5Ω, 20Ω, 3Ω, 9Ω and 8Ω, branch currents labelled I, I1, I2, I-I1, I1-I2 and I-I1+I2, terminals a and b with voltage +U-, followed by three Kirchhoff loop equations and an expression for Rab = U/I.

DaveE · Aug 14, 2020

jisbon said:

Homework Statement:: Find resistance across a and b terminal
Relevant Equations:: -

Wouldn't be able to simplify using simple series and parallel circuits

Yes, I think you can. The most difficult problem here is that the schematic is drawn in a confusing way. Redraw it so it makes more sense to you.

@gneill has given you a way forward, pursue that. For example what is the resistance between node e and node cf?

Simplifying Complex Circuits: Using Delta to Y Transformation

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