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copper wire has diameter 0.5mm and …

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copper wire has diameter 0.5mm and Resistivity of  what be the length of this wire to make its resistance? How much does the resistance change if diameter is doubled?
  • 1 answers

Gaurav Seth 5 years, 2 months ago

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

Decrease in resistance = 10 - 2.5 

                                  = 7.5 Ω.

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