A wire of resistor R is bent into a circular ring of radius r. Equivalent resistance between two points X and Y on its circumference, when angle XOY is a, can be given by
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a
Rα2π2π-α
b
Rα4π22π-α
c
R2π-α
d
Rα2π22π-α
answer is B.
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Detailed Solution
RXWY=R2πrrα and RYZX=R2πrr(2π-α) and they are in parallel ;Re= R2πrrαR2πrr(2π-α)R =Rα4π22π-α