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Uniform wire bent into a polygon or circle: resistance between two of its points

This type of question, asked 4 times: 2021 Paper 22, 1 Feb 2023, 24 Jan 2025, 28 Jan 2025. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 22

    24
    A square shaped wire with resistance of each side 3Ω3\Omega is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of Ω\Omega will be

  2. Question 2

    1 Feb 2023

    97
    Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance RR would be:

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  3. Question 3

    24 Jan 2025

    23
    A wire of resistance 9Ω9\Omega is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ____\_\_\_\_ ohm.

  4. Question 4

    28 Jan 2025

    15
    A wire of resistance RR is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

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