Question

(b) A wire is is long. 02 mm in diameter and has a resistance of 10 ohm. Calculate the resistivity of the material​

Answer 1

Explanation:

Given :-

l = 0.1 m = 1000 mm

d = 0.2 mm

r = 0.1 mm

R = 10 Ω

To Find :-

Resistivity of its material.

Solution :-

ρ = R × A/l

Cross sectional area = πr²

⇒ A = π × (0.1)²

⇒ A = 0.0314 mm²

⇒ ρ = 0.000314 Ω - mm

⇒ ρ≃ 3.14 × 10⁻⁷  Ω m

Hence, the resistivity of its material is 3.14 × 10⁻⁷  Ω m.