A wire of resistance r is bent in a circle of radius r equivalent resistance between two points on circumference if angle between them is alpha is given by
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r/2
Since the wire is bent, the circumference of the circle is l and as the distance across the diameter is l/2, resistance would be r/2.
Remember length is proportional to resistance.
R(d) = (R(ℓ)/2)//(R(ℓ)/2) = R/2 // R/2 = (R^2/4)/R = R/4
Since the wire is bent, the circumference of the circle is l and as the distance across the diameter is l/2, resistance would be r/2.
Remember length is proportional to resistance.
R(d) = (R(ℓ)/2)//(R(ℓ)/2) = R/2 // R/2 = (R^2/4)/R = R/4
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