Determine a valid way of finding the wire’s diameter if you know the resistivity of the material, \rho , and can measure the current flowing through the wire, I, and the voltage drop between two points of the wire, V, a known distance apart, L. find the diameter of the wire in terms of \rho L V and I.

How will you find the measurement error (i.e., uncertainty) in the diameter of the wire?

Resistivity of the material (Rho), Current flowing in the conductor, I, Potential difference across the conductor ends, V, and length of the wire/conductor, L.

Using the ohm's law,

Resistance R = (rho*L)/A

R = V/I.

Crossectional area of the wire A = π*square of radius

Radius = sqrt(A/π)

Diameter = Radius/2 = [sqrt(A/π)]

Making A the subject of the formular

A = (rho* L* I)V.

From the result of A, Diameter can be determined using

Diameter = [sqrt(A/π)]/2. π is a constant with the value 22/7

Explanation:

Error and uncertainty can be measured varying the value of the parameters used and calculating different values of the diameters. Compare the values using standard deviation