(C) The resistance of a metal wire of length 1 m is 26 22 at 20°C. If the diameter of the wire is 0.3 mm, what
will be the resistivity of the metal at that temperature ?
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Answer:
1.84 × 10^-6 ohm metre.
Explanation:
R = 26 ohm
length(L) = 1m
d = 0.3mm
r = d/2 = (0.3 × 10^-3)/2
= 0.15 × 10^-3m
A = pi r^2
= 3.14 × (0.15 × 10^-3)^2
= 0.071 × 10^-6 metre square
R = [resistivity(p) × L]/A
(or) resistivity = (R×A)/L
= (26 × 0.071 × 10^-6)/1
= 1.84 × 10^-6 ohm metre...
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