Find the Equivalent Resistance in Complicated Electrical Circuits

[Grievery]

Hi! I have been trying to understand how a "complicated" circiut can be transformed to show which resistors are connected in series and which are parallel... Sometimes I manage to do it but it's often too hard for me because I can't find any sort of algorithm about it. Could anybody show me "step-by-step" how to transform this circuit for example...?

We need to find the equivalent resistance...
Thank you in advance!

 

[Studiot]

It's always a good idea to label the components in a diagram. In this case your resistors should be numbered R1, R2 etc. This allows people to identify what is being referred to and, if the OP doesit, doesn't waste 2 posts.
Alternatively you can label the connection nodes, A, B, C etc (which you have already started, but not finished).

I will comment (ask) if your diagram is correct since R1 and R2 are (almost) shorted out.

Can you see which resistors I mean by R1 and R2?

Oh and welcome to PF

 

[Grievery]

First of all, thank you for the very quick response... I have labeled the resistors... Now, how can I find the equivalent one.
P.S. The answer is 3 ohms.

 

[Studiot]

I find it often helpful to redraw the network to bring out the relationships. Sometimes you have to do this several times to get a clear result.

The attachment shows a sequence of single step series or parallel simplifications leading to the desired result.

Although I agree with the 3 ohm answer I have left you do do some of the work in the intermediate steps.

Hope this helps

 

[Grievery]

Well.. thank you once again! :) I hope now I can figure out HOW to do it myself...