What is the resistivity of a cylinderical material wire whose 1.0m lenght has a resistance of 2.0 ohm? The radius of the wire is 1.0mm
This is a standard formula.
resistance=resitivity*length*area
change radius to meters. Solve for resistivity.
Thanks
To find the resistivity of a cylindrical wire, we need to use the formula:
Resistance (R) = (Resistivity (ρ) * Length (L)) / Area (A)
We are given the resistance (R) as 2.0 ohms and the length (L) as 1.0 meter. We also know that the wire is cylindrical, so we need to calculate the area (A) of the wire using the radius (r).
The formula for the area of a cylinder is:
Area (A) = π * (Radius (r))^2
Given that the radius (r) is 1.0 mm, which is equal to 0.001 m, we can substitute this value into the formula:
A = π * (0.001)^2
Now we have all the values we need to find the resistivity (ρ).
Rearranging the formula for resistivity (ρ):
ρ = (R * A) / L
Substituting the values we have:
ρ = (2.0 * (π * (0.001)^2)) / 1.0
Now we can calculate the resistivity:
ρ = (2.0 * π * 0.000001) / 1.0
ρ = 0.00000628 ohm meter
Therefore, the resistivity of the cylindrical wire is 0.00000628 ohm meter.