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This post is regarding exersise 4-8 from the following book: Hughes Electrical And Electronics Technology 10th Ed.

Here it is:

enter image description here

Let's focus on what I tried for solving part (b) :

Since this is an exercise under the chapter for delta-star transformations my first thought was to try and perform some such transformation. However this was a combination of both star and delta connections so I didnt really know whether the resulting resistances would be in series / parallel or neither, with the already existing ones, so I tried both series and parallel: enter image description here

However neither worked.

My next thought was that maybe I have understood something very badly about the resulting resistance of two points in a circuit. So after a little bit of digging I tried the following: enter image description here

However I again got a wrong result in regards to the given answers at the end of the book.

Conclusion:

  • Which approach (if any) was correct?
  • If no approach was correct, which concept do I need to understand better?

Any help/hint is very much appreciated

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  • \$\begingroup\$ I don't think any of your approaches makes sense and also you didn't explain anything how you draw these equivalent circuits \$\endgroup\$
    – user215805
    Commented Oct 3, 2020 at 17:35
  • \$\begingroup\$ Take the delta, transform into a star. You have two start in parallel which is easy to simplify. Or take the star. transform into a delta. Two deltas in parallel. Or both, transform the final delta into a star (or vice versa) to check you get the same answer. \$\endgroup\$
    – user16324
    Commented Oct 3, 2020 at 18:33
  • \$\begingroup\$ @BrianDrummond this is what it tried(first picture), i guess i made some computational error, will try again \$\endgroup\$
    – Stamatis
    Commented Oct 4, 2020 at 7:16
  • \$\begingroup\$ @BrianDrummond I have concluded that i have not made any computational mistake, the resulting Resistance from A to N turn out to be 0.98 ohm with this method, which by the book is wrong, it should be 1.45 ohms \$\endgroup\$
    – Stamatis
    Commented Oct 5, 2020 at 9:14
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    \$\begingroup\$ @BrianDrummond it worked for part (a) however so I am clearly doing somethiing wrong \$\endgroup\$
    – Stamatis
    Commented Oct 5, 2020 at 9:29

2 Answers 2

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To calculate equivalent resistance between A and N one approach would be -

1.look at NCB which is in Delta connected form

2.make NCB in star connection from delta by conversion formula

after that conversion you'll get a very simlified circuit which is very easy to solve

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  • \$\begingroup\$ I see what you mean, and it worked, I posted the full solution as an answer here. Thank you so much! \$\endgroup\$
    – Stamatis
    Commented Oct 5, 2020 at 10:58
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I figured it out, this is the answer for part(b) "Finding Equivalent resistance from A to N".

First of all, here is a nicer sketch:

enter image description here

Now we will focus at the delta connection defined by N , B , C :

enter image description here

And now if we go back to our original sketch and replace the converted circuit we can greatly simplify it:

enter image description here

Finally, we are ready to compute the equivalent resistance from A to N:

enter image description here

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