What is the resistance of a wire made of a material with a resistivity of 3.2 × 10⁻⁸Ω ⋅ m if its length is 2.5 m and its diameter is 0.50 mm? A)0.16 Ω B)0.10 Ω C)1.28 Ω D)0.41 Ω E)0.81 Ω

Question

Quizplus · Accepted Answer

First, we need to find the cross-sectional area of the wire:

A = πr² = π(0.25x10^-3m)² = 1.96x10^-7 m²

Next, we can use the formula for resistance:

R = (ρL)/A

where ρ is the resistivity, L is the length, and A is the cross-sectional area.

Plugging in our values:

R = (3.2x10^-8 Ω⋅m) (2.5 m) / 1.96x10^-7 m² = 0.41 Ω

Therefore, the answer is D, 0.41 Ω.

What Is the Resistance of a Wire Made of a Material