Question # 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 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 )

Solution

( 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 )