Question

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?

Answer 1

Answer:

To find the diameter of the wire, when the following are given:

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