Question

A wire of resistance 20 ohm resistance is bent in the form of a closed circle.What is the effective resistance between two points at the ends of any diameter of the circle?

Answer 1

As the wire is bent so the lenth of the diameter reduces to half. We know that resistance is directly proportional to length

Therefore, the two resistances 20/2 ohm will be in parallel.

effective resistance,

1/R = 1/10 + 1/10

1/R = 1/5

R = 5ohm

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Answer 2

Both the semi circles will act as resistance joined in parallel to each other..
Hence,

R = R1R2/(R1+R2)

R1 = R2 = R = 20/2 = 10

R = 5