What is the resistivity of a cylindrical material wire whose length is 2.0mm a resistance of 4.0 ohms diameter of wire is 0.8mm

Answer 1

The resistivity of the cylindrical wire can be calculated using the formula:

resistance = (resistivity x length) / cross-sectional area

Rearranging this formula, we get:

resistivity = (resistance x cross-sectional area) / length

The cross-sectional area of the wire can be calculated using the formula:

cross-sectional area = π x (diameter/2)^2

Substituting the given values, we get:

cross-sectional area = π x (0.8/2)^2 = 0.5027 mm^2

Now, substituting the values of resistance, length, and cross-sectional area, we get:

resistivity = (4.0 x 0.5027) / 2.0 = 1.01 ohm-mm^2/m

Therefore, the resistivity of the cylindrical wire is 1.01 ohm-mm^2/m.