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JEE Main 2021 (31 Aug, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2021 (31 Aug, Shift 1)

Q51JEE Main 2021 · 31 AUG · SHIFT 1Medium

Combination of Resistors

A square shaped wire with resistance of each side 3 $\Omega$ is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of $\Omega$ will be ___________.

Numerical answer type. Work it out, then open the answer.

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Answer: 3

Total resistance of the wire $= 4 \times 3 = 12\ \Omega$ .
Diametrically opposite points: two halves of $6\ \Omega$ in parallel.
$R = \dfrac{12}{4} = 3\ \Omega$

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