Calculating Equivalent Resistance in a Hexagonal Prism Circuit

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gneill said:
The correct one :smile:
I'm not sure it's the right time yet to give away the answer.

I did the same you did ...

So your answer is 33R/28 ?
 
cupid.callin said:
I did the same you did ...

So your answer is 33R/28 ?

Nope. A bit smaller.
 
smaller than 1.7R ?

Here's how i solved ... Bold black lines are the resistances

Four stacked circuit diagrams of a resistor network between terminals P and Q, with branches labelled R, 3R, 3R/2, 2R, 11R/2 and 33R/28, the last shown as a bold line at the bottom.
 
Attachments
  • Four stacked circuit diagrams of a resistor network between terminals P and Q, showing successive reductions with bold black wires labelled 3R, 3R/2, 11R/2, and a final value of 33R/28.
    HEX2.jpg
    12.1 KB · Views: 559
there won't be any current through them right? so we can just remove them. Is that wrong ?:confused:
 
cupid.callin said:
there won't be any current through them right? so we can just remove them. Is that wrong ?:confused:

I don't think that you can assume that there will be no current through them.
 
gneill said:
Sure. I've only labeled some of the resistances, the rest should be obvious by color code and symmetry.

Did you get 17R/16?
 
Here's the next step in the simplification. The diagram is still symmetrical, so the Delta-Y transformations at either end will be the same...
 
Attachments
  • Circuit diagram of a hexagonal prism with a rectangular middle section, end points P and Q, and labelled resistances R, R/2 and (5/2)R; triangle ABC is highlighted in blue at the left end.
    HEX3.jpg
    9.4 KB · Views: 457
Abdul Quadeer said:
I got it - 23R/20
Thanks!

Yes, that's it. Attached is the summary of the simplifications used.
 
Attachments
  • Four-stage circuit reduction diagram from P to Q: a hexagonal resistor network with labels R, 2R and R/2 simplified step by step, ending in a single resistor labelled (23/20)R between P and Q.
    HEX1.jpg
    23.3 KB · Views: 502