If a wire has a resistance of 1.32 a lenth of 110cm and area of cross sectional of 0.00415cm, The final resistivity of which it is made and conductivity
To calculate the resistivity of a wire, you can use the formula:
Resistivity (ρ) = (Resistance × Area) / Length
Given that the wire has a resistance of 1.32 Ω, a length of 110 cm, and an area of cross-sectional of 0.00415 cm², you can substitute these values into the formula to find the resistivity.
Resistivity (ρ) = (1.32 Ω × 0.00415 cm²) / 110 cm
Calculating this expression, we get:
ρ = 0.00005082 Ω·cm²/cm
The unit of resistivity is Ω·cm²/cm.
Now, to find the conductivity (σ) of the wire, you can use the formula:
Conductivity (σ) = 1 / Resistivity
Substituting the value of resistivity into the formula, we can calculate the conductivity:
σ = 1 / 0.00005082 Ω·cm²/cm
Thus,
σ = 19637.15 Ω⁻¹·cm⁻¹
The unit of conductivity is Ω⁻¹·cm⁻¹.