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The resistance of a piece of wire is 12 Ω. It is bent to form an equilateral triangle. What is theequivalent resistance between any two corners of the triangles?A) 1.3 Ω C) 4.0 ΩB) 2.0 Ω D) 2.7 Ω2016Q.16 If the length, width and separation between the plates of a parallel plate capacitor is doubledthen its capacitance becomes:A) Double C) Four-timesB) Half D) Eight-timesQ.17 Resistance between two opposite faces of square thin film of area 1 mm2 having thickness of1 μm if resistivity of material is 10 6 Ω will be:A) 1000 Ω C) 1 ΩB) 100 Ω D) 10 ΩQ.18 Total resistance between ‘A’ and ‘B’ in the given circuit is:5 ΩA5 Ω 5 Ω 5 ΩBA) 5.6 Ω C) 0.33 ΩB) 3.33 Ω D) 6.6 ΩA B6 Ω 6 Ω 6 Ω

Question

The resistance of a piece of wire is 12 Ω. It is bent to form an equilateral triangle. What is theequivalent resistance between any two corners of the triangles?A) 1.3 Ω C) 4.0 ΩB) 2.0 Ω D) 2.7 Ω2016Q.16 If the length, width and separation between the plates of a parallel plate capacitor is doubledthen its capacitance becomes:A) Double C) Four-timesB) Half D) Eight-timesQ.17 Resistance between two opposite faces of square thin film of area 1 mm2 having thickness of1 μm if resistivity of material is 10 6 Ω will be:A) 1000 Ω C) 1 ΩB) 100 Ω D) 10 ΩQ.18 Total resistance between ‘A’ and ‘B’ in the given circuit is:5 ΩA5 Ω 5 Ω 5 ΩBA) 5.6 Ω C) 0.33 ΩB) 3.33 Ω D) 6.6 ΩA B6 Ω 6 Ω 6 Ω

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Solution

Claro, aquí tienes las respuestas paso a paso:

Pregunta 1: La resistencia de un alambre es de 12 Ω. Se dobla para formar un triángulo equilátero. ¿Cuál es la resistencia equivalente entre dos esquinas del triángulo?

  1. La longitud total del alambre es 12 Ω.
  2. Al formar un triángulo equilátero, cada lado del triángulo tendrá una resistencia de 12 Ω / 3 = 4 Ω.
  3. Para encontrar la resistencia equivalente entre dos esquinas del triángulo, consideramos dos resistencias en paralelo (los dos lados del triángulo) y una en serie (el tercer lado).
  4. La resistencia

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