A resistance wire of length 2 m and of uniform cross-sectional area 5.0 x 10-7 m2 has a resistance of 2.2 Ω Calculate its resistivity

A resistance wire of length 2 m and of uniform cross-sectional area 5.0 x 10^-7 m² has a resistance of 2.2 Ω Calculate its resistivity

Answer Details

The formula for the resistance of a wire is given by: R = (ρ × L) / A Where R is the resistance, ρ is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire. Rearranging this equation, we get: ρ = (R × A) / L Substituting the given values, we get: ρ = (2.2 Ω × 5.0 x 10^-7 m²) / 2 m Simplifying this expression, we get: ρ = 5.5 x 10^-7 Ωm Therefore, the resistivity of the wire is 5.5 x 10^-7 Ωm. Answer: 5.5 x 10^-7Ωm