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. $8 \; \Omega$
• B. $12 \; \Omega$
• C. $4 \; \Omega$
• D. $2 \; \Omega$

Answer 1

Answer: (C)

$4 \; \Omega$

Answer 2

$R_{eq}$ between any two vertex will be
$\frac{1}{R_{eq}} = \frac{1}{12} + \frac{1}{6} \; \Rightarrow \; R_{eq} = 4 \Omega$