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Questions  

When a wire of uniform cross-section a length / and resistance R is bent into a complete circle, the resistance between any two of diametrically opposite points will be

a
R/8
b
R/4
c
R/2
d
R

detailed solution

Correct option is B

It is obvious from fig. that two wires of resistances R / 2 and R / 2 are connected in parallel between two points A and 8. Therefore, the equivalent resistance between two diametrically opposite points will beReq=R1R2R1+R2=(R/2)×(R/2)(R/2)+(R/2)  or  Req=R4

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