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AP EAMCET · PHYSICS · Current Electricity

A straight wire of resistance \(18 \Omega\) is bent in the form of an equilateral triangular loop. The effective resistance between any two vertices of the traingle is

  1. A \(6 \Omega\)
  2. B \(3 \Omega\)
  3. C \(1 \Omega\)
  4. D \(4 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(4 \Omega\)

Step-by-step Solution

Detailed explanation

Resistance of each side \(R_{side} = \frac{18 \Omega}{3} = 6 \Omega\). Between any two vertices, one path has \(R_1 = 6 \Omega\). The other path has \(R_2 = 6 \Omega + 6 \Omega = 12 \Omega\). Effective resistance…