An electricity and magnetism problem by Hammad Shah

A wire has a resistance 12 ohm. It is bent in the form a circle. The effective resistance between the two points on any diameter of the circle is

24 ohm 12 ohm 3 ohm 6 ohm

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1 solution

Since resistance is directly proportional to the length of wire,hence both upper and lower part of circle have resistance equal to 6 ohm. They are connected in parallel . So equivalent resistance equal to 1/R =(1/6) +(1/6) R=3 ohm

note-upper part means ,if i have drawn horizontal diameter then part of wire above this diameter,lower part (part of wire below horizontal diameter).then connect a battery to the ends of this diameter , potential drop across upper part will be same as lower part ,so they are in parallel.

i do not know how to draw figure here, so extremely sorry.

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