A aluminium wire has a diametre of 0.5 mm and resistivity 2.8*10^-6 ω cm. how much length of wire is required to make a coil of 10 ω
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Area of cross-section of the wire, A =π (d/2) 2
Diameter= 0.5 mm = 0.0005 m
Resistance, R = 10 Ω
We know that

∴ length of the wire = 122.72m
If the diameter of the wire is doubled, new diameter=2×0.5=1mm=0.001m
Let new resistance be Rʹ

∴ the new resistance is 2.5 Ω
Diameter= 0.5 mm = 0.0005 m
Resistance, R = 10 Ω
We know that

∴ length of the wire = 122.72m
If the diameter of the wire is doubled, new diameter=2×0.5=1mm=0.001m
Let new resistance be Rʹ

∴ the new resistance is 2.5 Ω
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