A uniform metallic wire has a resis...
Question
A uniform metallic wire has a resistance of 18Ω and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is
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A uniform metallic wire has a resistance of ( 18 Omega ) and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is :

(A) ( 4 Omega )
(B) ( 12 Omega )
(C) ( 2 Omega )
(D) ( 8 Omega )

JEE/Engineering Exams
Physics
Solution
140
Rating
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A uniform metallic wire has a resistance of 18Ω and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is
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( R alpha Q Rightarrow R ) esistance of each side ( =frac{18}{3}=6 Omega )
( R_{e q}=frac{6 times 12}{6+12}=frac{6 times 12}{18}=4 Omega )

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