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Questions  

A uniform wire of resistance 36 ohm is bent in the form of a circle as shown in fig  The effective resistance across the points A and B is

a
5 Ω
b
6 Ω
c
7.2 Ω
d
30 Ω

detailed solution

Correct option is A

Let r be the resistance of total length of circular wire' The resistance of smaller arc AB,r1=r/6=36/6=6Ω The resistance of bigger arcr2=5r/6=(5×36)/6=30Ω Resistances r1 and r2 are in parallel between points A and B, Therefore,1R=1r1+1r2=16+130=630=15∴R=5Ω

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