Question

We have a 10 m resistance wire of the isachrom 60 type. The resistance of this wire is 5.65 Ω / m at 20 ° C. The wire has a diameter of 0.50 mm.

a. Calculate the resistivity of isachrom 60 at 20 ° C.

Answer 1

`\rho=1.10* 10^(-7)\ \Omega`

Step-by-step explanation:

Given that,

The length of the resistance wire, l = 10 m\

The resistance of this wire is 5.65 Ω/m

The diameter of the wire, d = 0.5 mm

Radius, r = 0.25 mm = 0.00025 m

We need to find the resistivity of isachrom 60 at 20°C. The formula for the resistance of a wire is given by :

`R=\rho(l)/(A)\\\\\rho=(RA)/(l)\\\\\rho=(R\pi r^2)/(l)\\\\\rho=(5.65* \pi * (0.00025)^2)/(10)\\\\\rho=1.10* 10^(-7)\ \Omega`

The resistivity of the wire is
`1.10* 10^(-7)\ \Omega`.