Question

A conducting wire has resistance of 8 ohm. if it is bent to form a circle then what will be the resistance between the ages of diameter of the circular loop.​

Answer 1

as we can see the points A and B divides the circle in two equal arcs

hence if we flow a current from point A to B it will pass from AOB and ACB where O and B are points on two arcs therefore the connection will look like this i.e parallel

that is parallel connection hence effective or net resistance between any two point will be

1/Rn = 1/r0 + 1/r1

1/R/2 + 1/R/2

= 2/R+ 2/R = 1/Rn

4/R = 1/Rn

=R/4

Thank you

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