Question

A wire 40cm long and of diameter 0.60mm has a resistance of 1.5 ohm what is the resistivity of the material of which it is made taking pie to be 3.14​

Answer 1

The resistivity of the wire is
`1.05* 10^(-6)\ \Omega-m`

Step-by-step explanation:

We have,

Length of a wire is 40 cm or 0.4 m

Diameter of a wire is 0.60 mm

Radius is 0.3 mm or 0.0003 m

Resistance of a wire is 1.5 ohm

Now we need to find the resistivity of the material of which it is made. The resistance of a wire in terms of its resistance, length and area is given by :

`R=\rho (l)/(A)`

`\rho` = resistivity

`\rho=R (\pi r^2)/(l)\\\\\rho=1.5* (3.14* (0.0003 )^2)/(0.4)\\\\\rho=1.05* 10^(-6)\ \Omega-m`

So, the resistivity of the wire is
`1.05* 10^(-6)\ \Omega-m`.