Equivalent resistance of a regular polyhedron

Hi everyone. Can u help me to proof a little (but doubtful) expression to find the equivalent resistance between two consecutives vertices of a regular polyhedron?

I think that the expression is given by:

$R_{EQ} = \frac{2(V-1)\cdot R}{V\cdot N}$ , where $V$ is the number of vertices, $N$ is the number of edges connected to each vertice and $R$ is the resistance in each edge.

Ty xD

#Physics #ElectricityAndMagnetism #PhysicsProblem

Easy Math Editor

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Comments

Se essa formula for verdade pode ate ser util, mas na duvida é sempre melhor procurar planos de simetria em uma figura e linearizar o circuito. Dessa maneira nao tem como nao errar.

Leonardo Cidrão - 7 years, 9 months ago

Sim, de boa. To só com curiosidade na demonstração do resultado mesmo ;p

Dennys L. Agostini Rocha - 7 years, 9 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$