A copper wire has a diameter of 0.5 mm

Asked by admin @ 12/08/2021 in Math viewed by 376 People

A copper wire has diameter 0.5mm and resistivity 1.6x10^-8ohm m what will be the length of this wire to make its resistance 10ohm

Answered by admin @ 12/08/2021

Given,
diameter of copper wire = 0.5mm = 5 × 10-⁴ m
resistivity = 1.6 × 10^-8 ohm.m
resistance = 10 ohm
Length = ?
we know,
R = dL/A
where R , d , L and A are resistance , resistivity , length and cross section area.

10 = 1.6 × 10^-8 × L/(πr²)
L = 10 × 3.14 × (2.5 × 10^-4)² × 10^8/1.6
L = 10× 3.14 × 6.25/1.6
L = 122.656 m

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