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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.

Respuesta :

Answer:

[tex]\rho=1.10\times 10^{-7}\ \Omega[/tex]

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 :

[tex]R=\rho\dfrac{l}{A}\\\\\rho=\dfrac{RA}{l}\\\\\rho=\dfrac{R\pi r^2}{l}\\\\\rho=\dfrac{5.65\times \pi \times (0.00025)^2}{10}\\\\\rho=1.10\times 10^{-7}\ \Omega[/tex]

The resistivity of the wire is [tex]1.10\times 10^{-7}\ \Omega[/tex].