find the resistance of a nichrome wire of length 80,m and of cross section 2mm if resistivity of nichrome is 10^-4 ohms
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We know that,
Resistance = Resistivity × Length/Area
Given that,
Resistivity = ρ = 10⁻⁴
Length = L = 80m
Area = A = πr² = 3.14×(2×10⁻³)²
= 3.14×4×10⁻⁶
= 12.56×10⁻⁶ m²
Hence,
R = ρL/A
R = 10⁻⁴×80/12.56×10⁻⁶
R = 6.369×10⁶⁻⁴
R = 6.369×10² = 636.9 Ω
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