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

Asked in JEE Main 1st Feb 2nd Shift 2023 · Wires bent into shapes

• (1) ((n-1)R)/((2n-1))
• (2) ((n-1)R)/n
• (3) (n²R)/(n-1)
• (4) ((n-1)R)/(n²)

Step-by-step solution

Why the other options are wrong

• (1) No standard slip gives this form; the two arcs R/n and (n-1)R/n in parallel cannot produce a factor 2n-1.
• (2) Takes only the long arc of n-1 sides and forgets the single side in parallel with it.
• (3) Inverts the result, adding the arcs' resistances where their conductances should be added.

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