Question

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

Answer 1

Your answer is --

Given, resistance of wire is 5ohm

since, it is bent in a circle

So, wire is break in two parts and arrange in parallel combination by diameter of circle .

Thus, resitstane of each semi circle wire is 5/2 = 2.5ohm

Therefore , euivalent resistance is

1/R = 1/2.5 + 1/2.5

=> 1/R = 2/2.5

=> R = 2.5/2

=> R = 1.25ohm

Hence, effective resistance between the two points at the ends of any diameter of the circle is 1.25ohm


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