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JEE Main 2023 (1 Feb, Shift 2) · Combination of Resistors

Combination of Resistors question from JEE Main 2023 (1 Feb, Shift 2)

Q31JEE Main 2023 · 1 FEB · SHIFT 2Medium

Combination of Resistors

Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be:

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Answer: (a)

  1. Each side has Rn\dfrac{R}{n}; the rest of the polygon has (n−1)Rn\dfrac{(n-1)R}{n}.
  2. Req=Rn⋅(n−1)RnR=(n−1)Rn2R_{eq} = \dfrac{\frac{R}{n} \cdot \frac{(n-1)R}{n}}{R} = \dfrac{(n-1)R}{n^2}
  3. So the answer is (a).
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