Questions: La resistencia equivalente de los dos resistores mostrados en la figura siguiente está dada por 1/R = 1/R1 + 1/R2

La resistencia equivalente de los dos resistores mostrados en la figura siguiente está dada por 1/R = 1/R1 + 1/R2
Transcript text: 14. La resistencia equivalente de los dos resistores mostrados en la figura siguiente está dada por \[ \frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}} \]
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Solution

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Paso 1: Identificar la configuración del circuito

Los resistores \(R_1\) y \(R_2\) están conectados en paralelo. Esto significa que comparten los mismos dos nodos.

Paso 2: Recordar la fórmula para resistencias en paralelo

La fórmula para la resistencia equivalente (\(R\)) de dos resistores en paralelo (\(R_1\) y \(R_2\)) es: \[\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}\]

Paso 3: Verificar la fórmula dada

La fórmula dada en el problema coincide con la fórmula para resistencias en paralelo: \[\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}\]

Respuesta final

La afirmación del problema es correcta. La resistencia equivalente de los dos resistores mostrados en la figura está dada por \\( \boxed{\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}} \\)

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