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JEE Main 2019 (10 Jan, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2019 (10 Jan, Shift 1)

Q61JEE Main 2019 · 10 JAN · SHIFT 1Easy

Combination of Resistors

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 -

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Answer: (c)

Each side has $\dfrac{18}{3} = 6\ \Omega$ .
Between two vertices: $6\ \Omega$ in parallel with $12\ \Omega$ .
$R_{eq} = \dfrac{6 \times 12}{18} = 4\ \Omega$
So the answer is (c) $4\ \Omega$ .

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