Six equal resistances each 4 ohm are conne ted together making the arms of tetrahedron
Answers
Explanation:
what is the resistance between any two corners. ... If we stretch QPO.. into a straight wire it will be in series.. ... and Pr are different wires they are connected in parallel connection with the resistances from 1 nd 2..1/R(p)=1/R1+1/R2+1/R3+1/R4.....1/4+1/4+1/8
Answer:
Resistors can be regarded as line segments each with some positive
> real number resistance. When resistors are linked in series (so that
> to get from point A to point B requires that you go through all of
> them) the total resistance between points A and B is the sum of the
> individual resistances. When resistors are linked in parallel (so
> that to get from point A to point B you can go through any one of
> them), the *reciprocal* of the total resistance is the sum of the
> *reciprocals* of the individual resistances. If there is no path at
> all between two points, the resistance is infinite. Between any point
> and itself, the resistance is zero.
>
> To keep it simple, all resistors in the following problems will have
> the same resistance, 1 ohm.
>
> Puzzle 1: What is the resistance between the opposite corners of a
> square, if there's a resistor from each corner to each other corner
> (i.e. six resistors, three of which meet at each corner).
>
> Puzzle 2: For each of the five regular solids (tetrahedron, cube,
> etc), what's the resistance between adjacent vertices, if each edge
> is a resistor?
>
> Puzzle 3: What is the resistance between adjacent points in an
> infinite two-dimensional grid of resistors (i.e. like a flyscreen
> made entirely of resistors, or a piece of standard graph paper).
>
> Puzzle 4: Like puzzle 3, only with an infinite *three*-
> dimensional grid (i.e. like a jungle-gym). (Extend this to even
> higher dimensions if you like.)
>
> Puzzle 5: For puzzles 3 and 4, what if the points weren't adjacent?
> What's the resistance between the point 0,0 and the point X,Y? Or
> between 0,0,0 and X,Y,Z?
>
> Puzzle 6: Is there any arrangement of resistors which