Question

© Calculate tge resistance of a 1 km long copper wire of radius 1 mm ( Resistivity of copper = 1.62 × 10^-8 Πm )

#10 point

Answer 1

R = ρL/A

R = ρL/(πr^2)

R = 1.62*10^-8 * 10^3 / (π * (10^-3)^2)

R = 5.156 Ω

Answer 2

Hey there !!!!!!!!!

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Resistance = resistivity*length of conductor / area =  ρ*l/A

length = 1km = 10³ m  
radius = 1mm = 10⁻³ m
area(A) = πr²  = π(10⁻³)²
resistivity = ρ =1.62 × 10⁻⁸ πm

Resistance = ρ*l /A = 1.62 × 10⁻⁸ π*10³/π(10⁻³)²

                      =1.62*10⁻⁵/(10⁻³)² = 1.62*10⁻⁵*10⁶ =1.62*10 = 16.2Ω

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Hope this helped you................