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JEE Main 2019 (9 Apr, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2019 (9 Apr, Shift 1)

Q63JEE Main 2019 · 9 APR · SHIFT 1Medium

Combination of Resistors

A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)

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Answer: (a)

Each side is $\dfrac{R}{4}$ , so EC $= \dfrac{R}{8}$ and the rest of the loop (E→D→A→B→C) is $\dfrac{7R}{8}$ .
$R_{EC} = \dfrac{\frac{R}{8} \cdot \frac{7R}{8}}{R} = \dfrac{7R}{64}$
So the answer is (a) $\dfrac{7}{64}R$ .

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