Resistance of a Wire Cube: Diagnol Faces

AI Thread Summary
The discussion revolves around calculating the resistance across the diagonals of a cube formed by 12 pieces of wire, each with a resistance of 1R. Participants clarify the problem, noting that a cube has six faces and suggest plotting the circuit diagram to visualize current paths. They recommend identifying all possible routes for current flow between two diagonal vertices to determine the total resistance. The conversation emphasizes the importance of drawing a 2D representation of the cube for better understanding. Ultimately, the goal is to accurately compute the resistance between specified points in the cube's structure.
hamzanaveed
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A wire is broken down into 12 pieces so that each piece is of resistance 1R. The pieces are joined together to form a cube. What would be the resistance at the diagnols of the 4 faces of the cube?
 
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welcome to pf!

hi hamzanaveed! welcome to pf! :wink:
hamzanaveed said:
What would be the resistance at the diagnols of the 4 faces of the cube?

i don't understand what you mean (and also a cube has 6 faces) :confused:

anyway, show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:​
 
I am assuming you mean the resistance at two diagonal vertices of the cube. Try plotting out all of the different paths that current can take from point A to point B, and then go from there. see if you can put it in the form of a circuit diagram. Drawing a picture of a cube (okay, drawing a 2-dimensional representation of a cube) helps a lot.
 
Here is a similar one:

A circuit has N nodes. Each node is connected to every other node via a resistor R. What is the total resistance between two nodes?


The trick in both questions is to find the nodes that are equipotential.
 

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