A wire of length L is wound to form a circle then find resistance between two points A and B at an angle of 30?
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☑️ Let
LetR=ρLA
If a wire of length L is bend to form a loop, then radius of the loop:r=L2π
Length of the wire segment l=rθResistance of the first
Resistance of the second wire segment:R2=ρr(2π−θ)A
These two segments are in parallel. Therefore net
On solving:Rnet=(2π−θ)θρr2πA
Substitute r=L2π on the above equation:
Rnet=(2π−θ)θR4Π2
Hope its help
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