Equivalent Resistance of Cube of Resistors: A to B

[nil1996]

Homework Statement

Here is a cube of resistors with each resistance of value "R".Find the equivalent resistance between A and B.

Homework Equations

The Attempt at a Solution

My book says the equivalent circuit of the cube is :

But i don't think it is correct.They have made parallel combinations which don't seem right.Is the book correct??

 

[phinds]

you need to make your figures smaller. They are HUGE.

I agree w/ you that it doesn't seem correct but I'm guessing they are using some trick of symmetry in the redrawing.

 

[willem2]

The plane through the points ABGH is a symmetry plane, so the potentials of the points D and E must be equal, so you can connect them with a wire. Same for the points C and F.

 

[nil1996]

The plane through the points ABGH is a symmetry plane, so the potentials of the points D and E must be equal, so you can connect them with a wire. Same for the points C and F.

O,thanks a lot

 

[bob012345]

Homework Statement

Here is a cube of resistors with each resistance of value "R".Find the equivalent resistance between A and B.

View attachment 167327

Homework Equations

The Attempt at a Solution

My book says the equivalent circuit of the cube is :

View attachment 167328

But i don't think it is correct.They have made parallel combinations which don't seem right.Is the book correct??

I realize this is a decade old thread but I checked it and it is correct.

 

[berkeman]

I realize this is a decade old thread but I checked it and it is correct.

I thought of your simulations when I saw this thread pop up!