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A wire of resistance 5 Ohms is bent in t...

A wire of resistance 5 Ohms is bent in the form of a closed circle. What is the effective resistance between the two points at ends of any diameter of the circle?

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The length of the wire between two points at the ends of a diameter is half of the whole wire. The resistance of a conductor is directly proportional to its length.
Thus two resitance `(5)/(2)Omega` will be in a parallel.
Let R is the effective resistance.
`(1)/(R)= (2)/(5)+ (2)/(5)`
`implies (1)/(R)= (4)/(5)`
`:. R= (5)/(4)= 1.25Omega`
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