Question

The resistance (r₀) of a cylindrical conductor is given as 562Ω, with resistivity (rho), length (l), and radius (r). What is the value of resistivity (rho)?

(a) r₀/l
(b) l/r₀
(c) r₀/(lr)
(d) r₀/(lr²)

Answer 1

None of the given option is correct.Resistivity ρ calculated as ρ = (562Ω×A)/L using resistance, area, and length formula.

Step-by-step explanation:

The resistance of a cylindrical conductor can be calculated using the formula R = (ρ * L) / A, where ρ is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor. In this case, the resistivity (ρ) can be calculated by rearranging the formula as ρ = (R * A) / L and substituting the given values.

The resistance of a cylindrical conductor is given by the formula R = (ρ * L) / A, where ρ is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area of the conductor.

In this case, the resistance (R) of the conductor is given as 562Ω. We can rearrange the formula to solve for ρ: ρ = (R * A) / L.

Since we are given the values for R and A, we can substitute them into the equation to find the value of ρ.

ρ = (562Ω * A) / L.