Question

Resistance of a wire of length 20m and radius 10 mm is 12kΩ. Find its resistivity and conductivity.​

Answer 1

Answer:

ρ=1.884 Ω/m

σ=0.53 m/Ω

Explanation:

radius = 0.01 m

Area = 3.14 * 0.0001

Area = 0.00314 $m^{2}$

R = ρ$\frac{l}{a}$

12000 = ρ$\frac{20}{0.00314}$

ρ(resistivity) = $\frac{12000*0.00314}{20}$

ρ = 1.884 Ω$m^{-1}$

σ(conductivity) = 1/ρ

σ = 1/1.884

σ = 0.53 m/Ω