Question

A wire is 1.0 m long , 0.2mm in diameter and has a resistance of 10 ohms.Calculate the resistivity of the material ?a

Answer 1

l=1m
r=0,2mm=0.0002m
R=2Ω
ρ=?
R=ρl/s
ρ=Rs/lρ               s=r2π=(0.0002)2*3.14=1.256*10 (-7)
ρ=2Ω*1m/1.256*10(-7)
ρ=1.58 * 10(7)

Answer 2

Hey there!

Given,

Length(l) = 1 m

Diameter(d) = 0.2 mm

Radius(r) = 0.1 mm or 0.001 m

Resistance(R) = 10 Ω

Now,

 Area =πr²

         = 3.14 × 0.001 × 0.001

         = 0.00000314 m²

We know,

Resistivity = RA/l

                = 10 × 0.00000314/1

                = 0.0000314 Ω m

                = 3.14×10^-7 Ω m

Hope It Helps You!