Tetrahedron of 1000 ohm resistors

Measure the resistance between the diamond shaped nodes. The edges are all 1000 Ω 1000\Omega resistors. The nodes are where the resistors are joined.

The numbering near the nodes are just labeling and can be ignored safely.


The answer is 500.

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1 solution

The disk nodes of the same color are at the same voltage and can be shorted as together with affecting the results as not current would flow between them.

The answer is 1 1 1000 + 1 2000 + 1 2000 \frac{1}{\frac{1}{1000}+\frac{1}{2000}+\frac{1}{2000}} and is 500 500 .

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