Question

A wire is 0.1 m long 0.2mm in diameter and has a resistance of 10 ohm . Calculate the resistivity of its material

Answer 1

Answer:

Current Electricity

Explanation:

★ Resistance ( R ) = Resistivity ( p ) × Length ( L ) / Area ( A );

» According to given values ;

≈ Lenght of wire ( L ) = 0.1 m

≈ Diameter = 0.2 mm ; Radius = 0.1 mm

≈ Resistance ( R ) = 10 Ω

≈ Area of wire = π R² = 3.14 × ( 0.1 × 10-³ )² = 3.14 × 10^-8

★ By using Formula ;

Resistivity ( p ) = R × A / L

= 10 × 3.14 × 10^-8 / 0.1

= 100 × 3.14 × 10^-8

Resistivity ( p ) = 314 × 10^-8 Ω / m